A person exerts a horizontal force on a banana at rest on a counter top. The banana remains at rest is zero.
What do you mean by frictional forces?When two surfaces come into contact with one another, frictional force acts to move them either in the same direction or in the opposite way. Since friction is a force that opposes or resists an object's ability to glide against another when they come into contact. As a result, the force of friction is a contact force. A force called friction always works against motion. The texture of the surfaces of the items that made contact with each other and the amount of force applied to them both have a significant impact on the frictional forces. Rolling, sliding, static, and kinetic friction are the four main categories under which frictional forces are categorised. Fluid friction is yet another significant type of friction.
Frictional forces exist between the banana and the countertop. These forces resist the motion of the banana, and it remains at rest because the force applied to it is not enough to overcome the force of friction. In this scenario, the frictional force does zero work on the banana because the banana does not move, and work is defined as force applied over a distance.
The force exerted by the person is equal and opposite to the force of friction, so the net force on the banana is zero, and no work is done on the banana.
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A uniform brick of length 25 m is placed over the edge of a horizontal surface with a maximum overhang of 12.5 m attained without tipping.
Now two identical uniform bricks of length 25 m are stacked over the edge of a horizontal surface.
What maximum overhang is possible for the two bricks (without tipping)?
Answer in units of m.
The maximum overhang possible for the two bricks is 18.75 m.
What is the center mass of the two bricks?The center of first rod will lie exactly at the edge of first rod, and when two rods are combined, the center of mass will be at the edge of the table.
As a result of this the whole system will rest on the rod and it will not tipping off.
Since both rods are identical, it will be safe to say that the system will have its center of mass at the mid point on the line joining the two centers
The center mass of at the mid point on the line joining the two centers is calculated as;
d = 0.5 x 12.5 m
d = 6.25 m
The maximum overhang possible for the two bricks is calculated as;
L = 6.25 m + 12.5 m
L = 18.75 m
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this week, consider the following terms: displacement velocity time distance speed vector acceleration
Speed and distance are both scalar values, which means they only have a magnitude (or numerical value).
Displacement, velocity, and acceleration, on the other hand, are vector quantities, which means they have both a magnitude and a direction.
The shortest distance between the starting point and the ending location can be used to determine displacement. A vector quantity with both magnitude and direction is displacement.
The length of the actual path a body takes during a time period can be used to determine distance. A scaler quantity with simple magnitude is distance.
The distance a body travels in a unit of time is referred to as speed. It is a smaller amount.
A body's displacement in a unit of time is one way to define velocity. A vector quantity, that is.
The rate at which an object's velocity changes over time is known as acceleration.
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A particle moving along the x-axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.50 cm, and the frequency is 1.70 Hz.a. Find an expression for the position of the particle as a function of time.b. Determine the maximum speed of the particle.c. Determine the earliest time at which the particle has this speed.d. Find the maximum positive acceleration of the particle.e. Find the earliest time at which the particle has this acceleration.f. Determine the total distance traveled between t = 0 and t = 0.88 s.
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right.
What is motion definition and example?We can define motion as the change of position of an object with respect to time. A book falling off a table, water flowing from the tap, rattling windows, etc., all exhibit motion. Even the air that we breathe exhibits motion.
What is called motion in physics?Motion in physics, is a change of position or orientation of a body with the change of time. Motion along a line or a curve is named translation. Also, the motion that changes the orientation of a body is rotation.
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which of the following is an example of something that undergoes acceleration while moving at constant speed? select all that apply
An object undergoing acceleration while moving at a constant speed, changes it's velocity keeping a constant speed but changes the direction of motion. Answer to the question is Option 2.
In mechanics, acceleration of a body is the rate of change of it's velocity with respect to time. Accelerations are vector quantities (in way that they have both magnitude and direction).
For an object to undergo acceleration but with a constant speed means that the direction part of the velocity vector is variable.
Let's discuss all the options one by one:
A man standing in an elevator - For a man standing in an elevator, speed changes with time. In this case, the apparent weight of the person is used. Because the speed, a scalar quantity, changes in the case, it can be eliminated.A car making a circle in a parking lot - For a car moving in a circle in a parking lot, the speed is constant, but the direction of the displacement vector constantly changes for all points of the the path, hence the velocity vector is variable, thus causing an acceleration called the centripetal acceleration. But the net acceleration of the motion is zero in a uniform circular motion. Hence, this option is our answer.A football flying in the air - For a football flying in the air, whether under freefall or in a projectile motion, the speed changes accordingly, thus terminating the required parts of the question. Hence, this too is eliminated.A car moving straight backwards on the road - For a car to move back in a straight path, it may be under acceleration, which causes the speed to increase but the direction to be the same, hence again the requirements of the question are not fulfilled, thus this option too must be eliminated.SO, the answer to the question is Option 2.
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The correct question should be:
Which of the following is an example of something that undergoes acceleration while moving at a constant speed?
A man standing in an elevatorA car making a circle in a parking lotA football flying in the airA car moving straight backwards on the roadNone of these.a formula one racecar is traveling around a proper racetrack that has banked turns. the banking helps the cars to maintain a faster speed through the turns. choose the best response about why these tracks are designed this way - note that if more than one is correct that later options give you the option to select more than one from a, b and c.
We looked at the fundamental ideas behind circular motion. Another of the race cars displayed at the start of the chapter is an example of an item moving in a circular path that must be accelerating. We established that the centrifugal acceleration, also known as centripetal acceleration
What does the term "centrifugal acceleration" refer to?To start, there is the actual gravitational acceleration, which is constantly pointing in the direction of the Earth's center and is of magnitude. Next, there is the alleged centrifugal acceleration. The direction of this acceleration, which is always directly away from the axis of rotation of the Earth, is normal.
What do centripetal & centrifugal acceleration mean?Centripetal force is really the portion of a force exerted on an item moving curvilinearly and is pointed in the direction of the axis od rotation or the center of curvature. The centrifugal force, that acts along the circle's radius and therefore is directed away of its center, is a fictitious force that moves in a circle.
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A 70kg bicyclist (including the bicycle), initially at rest pedals up a hill. She reaches a speed of 2m/s despite experiencing a 15N drag during her ride. The distance and height of the hill are shown. Neglect any friction impeding her motion and the rotational energy of the wheels. List the energy types at the initial and final time and whether work and loss (due to non- conservative forces) occur as well as the corresponding amounts of energy. 70m 13m initial: none 0 J work?
The energies of several types of bicyclist are Kinetic energy and Potential energy. Work done and energy loss by bicyclist is 1050.
Give a brief account on energy?Energy is the ability to do work. But we're not talking about going to work or doing your chores, we're talking about work as defined in the physical sciences. Work is the application of a force to move an object in the direction of the force. Like, when you pedal a bicycle, or when an electric motor lifts an elevator. Energy is conserved.
At the initial time, the bicyclist is at rest and has no kinetic energy (KE) and no potential energy (PE) since she is not moving and is not at a height.
Work is done on the bicyclist by the force applied by her muscles to pedal the bicycle. The work done is equal to the force applied multiplied by the distance over which the force is applied:
Work = force x distance = 15N x 70m = 1050 J
Energy is also lost due to the drag force acting on the bicyclist. This energy loss is equal to the work done by the drag force:
Energy loss = force x distance = 15N x 70m = 1050 J
At the final time, the bicyclist has kinetic energy as she is moving with a velocity of 2m/s. The kinetic energy is equal to 1/2mv²:
KE = 1/2(mv²) = 1/2(70)(2)² =280J
The bicyclist also has potential energy due to her height above the ground. The potential energy is equal to mgh:
PE = mgh = (70kg)(9.8)(13m) = 9,140 J
So, at the initial time, the bicyclist has no kinetic energy and no potential energy.
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When you stand on a bathroom scale, the scale does not measure the force of gravity (i.e., weight) acting upon your mass. What does the scale measure?
The scale reading is actually a measure of the upward force applied by the scale to balance the downward force of gravity acting upon an object
What is a bathroom scale ?Scales measure weight, which is the force acting on a mass equal to the mass times the acceleration of gravity of the object. Due to the dependence of the weighing mechanism and the weight of any given object on the local gravity, a scale cannot accurately determine mass.
Although we use a scale to determine how much we weigh, the scale reading actually represents the upward force the scale applies to an object to counteract the downward force of gravity. These two forces are balanced when an object is in an equilibrium condition (whether it is at rest or moving at a constant speed).
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A caterpillar climbs up a one-meter wall. For every 2 cm it climbs up, it slides down 1 cm. It takes 10 minutes for the caterpillar to climb to the top. What is the distance traveled? (Round the number to the nearest hundred.)
The distance travelled by Caterpillar will be 1.5 m as rounded to the nearest hundred.
Distance is a scalar quantity while Displacement is vector. Displacement is the distance and direction separating an object's ultimate position from its initial position. Distance is the overall length an object travels while in motion.
It makes one movement, reaching 2 cm, but then stops at 1 cm.
It makes two moves to reach 3 cm but stops at 2 cm.
This implies, for example, that a caterpillar climbing up 4 cm will also slide down a total of 2 cm, climbing up 10 cm will result in a total slide down of 5 cm, etc.
The caterpillar travels 3 cm in that interval because it descends 1 cm for every 2 cm it climbs up. We specify,
Distance (d) = 3 cm of distance traveled / 2cm of climbing up
Thus, the distance travelled by Caterpillar will be 1.5 m i .
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For a given fluid at a given temperature, we plot the shear stress vs the shear strain rate. The slope of the resulting line can be referred to as the ____________ (one word).
Choose matching definition
O viscosity
O solubility
O density
O water
The slope of the resulting line can be referred to as the viscosity.
What is mean by viscosity? Viscosity is a measure of a fluid's resistance to flow. It is a property of a fluid that describes how easily it can be moved or stretched. It is a measure of how thick a liquid is and how easily it can be poured or mixed. Viscosity is measured in units such as centipoise (cP), poise (P), or centistokes (cSt). The higher the viscosity of a fluid, the slower it flows. Viscosity can be affected by temperature, pressure, and other factors. For example, temperature can increase the fluid's viscosity, while pressure can decrease it. Viscosity is an important factor in many engineering and industrial processes, such as oil drilling, automotive lubrication, and paint applications. It affects the performance of engines, pumps, and other machinery. It is also important in the design of vessels and pipelines, and it affects the flow of fluids through them. Knowing the viscosity of fluids is essential for successful operation of these systems.To learn more about viscosity refer to:
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shown here are six galaxies, each labeled with its approximate distance from earth. rank the galaxies from left to right based on the amount of time it has taken their light to travel to earth, from the longest time to the shortest time. - 10 billion light-years
- 5 billion light-years
- 2 billion light-years
- 800 million light-years
- 230 million light-years
- 70 million light-years
light takes 100 million years to reach us from a galaxy that is 100 million light-years away. This fact has important implications to the study of the evolution of the universe, as you'll see in Part B 5 billion light-years
The correct answer is 5 billion light-years.
What number of galaxies are there?There were about 10,000 galaxies in this small area of the sky, all varying in size and shape. Astronomers estimated that there are between 100 and 200 trillion galaxies by multiplying this figure by how many times this tiny area of sky could fit into the sky.
Is Earth visible from Andromeda?About 2.5 million light-years away, Andromeda is the sole galaxy in the Local Group that is both more massive and has more stars than the Milky Way. Someone currently in Andromeda would.
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measure: place the planet at -4.00i au and set the velocity to -15.00j km/s (does not have to be exact). click play, and then click pause when the planet completes one orbit.
According to Kepler's final law, a planet's period (T), or the amount of time needed to complete an orbit, is inversely proportional to its orbital radius (a), or average distance from the Sun.
The planets' distance also has an impact on the cycle since the more away they are, the slower they move, interrupting the cycle. The number will be less the closer it is to the sun. Both the planet's present velocity (speed and direction) and its gravitational pull on the Sun define each planet's route around the Sun. As you explore planetary orbits in the Orbital Motion, you can adjust both of these variables. Here, the astronomical unit (AU), which is equivalent to the average Earth-Sun distance.
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calculate the magnitude of the electric field at the origin due to the following distribution of charges q at x y a a q at a a q at a a and q at a a where a 1.35 10 7 c and a 6.15 cm
Then the magnitude of the electric field at the origin is:
|E| = √(4* (9.0*10^9 q)^2) = 1.8 * 10^9 q N/C
The magnitude of the electric field at the origin is directly proportional to the charge q.
What size is the electric field at the starting point?The electric field at a point due to a point charge is given by Coulomb's law as:E = k*q/r^2where q is the charge, E is the electric field, k is Coulomb's constant, equals 1/4, k is the Coulomb constant, and r is the separation between the point of the charge and the point where the electric field is being computed. In this case, we have four point charges at the positions (1.3510^-7, 1.3510^-7), (1.3510^-7, -1.3510^-7), (-1.3510^-7, 1.3510^-7) and (-1.3510^-7, -1.3510^-7) with charge q.The electric field at the origin (0,0) due to each charge can be calculated using Coulomb's law. Since the charges have the same magnitude q, the vector sum of the electric fields due to each charge at the origin is the sum of the individual electric fields.The magnitude of the electric field at the origin due to the charge distribution is:|E| = √(E1^2 + E2^2 + E3^2 + E4^2)where E1, E2, E3 and E4 are the electric fields at the origin due to each charge respectively.It should be noted that the given distance a is in cm but the equation for Coulomb's law uses meters so it should convert the distance to meter.The distance between each charge and the origin is:r = √((1.3510^-7)^2 + (1.3510^-7)^2) = 1.9 * 10^-7 mThe electric field due to each charge is:E = kq/r^2 = (1/4πε) * q / (1.910^-7)^2 = 9.0 * 10^9 q N/CThen the magnitude of the electric field at the origin is:|E| = √(4* (9.0*10^9 q)^2) = 1.8 * 10^9 q N/CThe magnitude of the electric field at the origin is directly proportional to the charge q, as we can see in the formula above.To learn more about magnitude refer:
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A small car meshes with a large truck in a head-on collision. Which of the following statements concerning the momentum during the collision are correct? (There could be more than one correct choice.) a. The momentum of the car is conserved, The momentum of the truck is conserved. b. The momentum of the car-truck system is conserved, but the momentum of each one separately is not conserved. c. The car and the truck must undergo the same change in speed. d. The momentum of the car and the momentum of the truck are each conserved
The small car and the truck experience the same magnitude of momentum change.
The given problem is based on the concept of momentum and law based on it, which is known as Conservation of momentum. As per the law of conservation of momentum, "Whenever there is a collision between the two objects, then the change in momentum before collision is equal to the change in momentum after the collision".
From the conservation of momentum, whatever magnitude of momentum is lost by one of the vehicles will be gained by the other vehicle and momentum will be conserved.
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400 jj of work are done on a system in a process that decreases the system's thermal energy by 300 jj .
In this process, 400 joules of work are done on the system, which means energy is being transferred into the system in the form of work. At the same time, the thermal energy of the system is decreasing by 300 joules. This suggests that the system is also losing energy in the form of heat and it indicates that the work done on the system is used to remove thermal energy from the system, leading to a decrease in the system's temperature. This process is likely an example of a cooling process, such as refrigeration or air conditioning.
Overall, the net change in the system's energy is -300 joules (decrease in thermal energy) + 400 joules (work done on the system) = 100 joules. This means that the system has gained 100 joules of energy overall, but it has gained it in the form of work and lost it in the form of heat.
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which of the following is not permitted as a means for identifying an equipment grounding conductor?
A Gray Insulation is never allowed as a means for identifying an equipment grounding conductor.
Which colors is not permitted to be used to identify a grounded conductor?Only in circuits with 50V or higher can a conductor with white insulation be used for the ungrounded conductor.
Cable Assembly: If the white conductor in a cable is permanently re-identified as the ungrounded conductor at each site where it is visible by labeling tape, painting, or other effective ways, it can be utilized for that purpose. Insulation must be identified, and identification must be around it in a color other than white, gray, or green.
If the white conductor is permanently re-identified at each site where it is visible to indicate its usage as an ungrounded conductor, it can be used to power single-pole, 3-way, and 4-way switch loops as well as passengers for 3-way and 4-way switching.
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solve the question below
The velocity of the barium atom moving forward relative to the tube is 2.35 x 10^5 m/s and the velocity of the krypton atom relative to the containing tube is -2.35 x 10^5 m/s.
What is the velocity of the krypton atom (Kr) relative to the barium atom after separation?The velocity of the krypton atom (Kr) relative to the barium atom after separation is 2.35 x 10^5 ms^-1. This is the velocity at which the krypton atom is expected to move directly backwards after being separated from the auranium atom. It is important to note that this velocity is relative to the barium atom, and not the containing tube. To find the velocity of the krypton atom relative to the containing tube, we would need to take into account the initial velocity of the auranium atom and the mass ratios of the elements involved.
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An incandescent bulb is only 10% efficient at converting the electricity to light. Which of the following best supports the idea that incandescent bulbs lose 90% of the energy to heat?
a. Enthalpy
b. 10% Eule
c. First Law of Thermodynamics
d. Second Law of Thermodynamics
d. Second Law of Thermodynamics
According to the Second Law of Thermodynamics, the entropy of the entire cosmos as a stand-alone system will always rise over time.
The second law also states that there can never be a decrease in entropy in the universe.
Néstor Leonard Sadi Carnot, a French scientist, is known as the "father of thermodynamics" since he is credited with developing the Second Law of Thermodynamics and many other key ideas. As opposed to caloric, which Sadi Carnot used to define the concept, the second law as it exists now employs entropy. When Sadi Carnot realized that some caloric is always lost in the motion cycle, he realized that caloric is related to heat. As a result, the idea of thermodynamic reversibility was disproved, demonstrating that every system involving work will eventually become irreversible.The Clausius statement, which states that "Heat normally cannot flow spontaneously from a material at a lower temperature to a material at a higher temperature," was created by German physicist Rudolf Clausius.The Kelvin statement, which claims that "it is difficult to convert heat totally in a cyclic process," was created by William Thompson, popularly known as Lord Kelvin. This indicates that there is no way to use up all of a system's energy without also using it up.A Greek mathematician named Constantin Carathéodory came up with his own definition of the second low, claiming that "States which cannot be arbitrarily approached close through adiabatic changes of state" exist close to any initial state.To learn more about the Second Law of Thermodynamics
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A spring is stretched by 35 cm and attached to a 500 g air-track glider, which is then released. The spring does 0.25 J of work on the glider as it returns to its equilibrium length. What is the value of the spring constant? Express your answer with the appropriate units.
The supplied statement indicates that the spring constant has a value of 4.08 N/m.
What forces do springs contain?A spring creates a force F = -kx in the direction of its equilibrium position when it is pushed or stretched to a length that differs by an extent x from its solution length. A spring's force serves to return the spring itself to equilibrium length; it is a restorative force.
Stretched by spring using x = 35 cm = 0.35m
Spring work equals 0.25 J
When a spring is extended, it stores energy = 1/2kx²
Spring will utilize this enthusiasm to do work.
[tex]W=\frac{1}{2} k x^2 k=\frac{2 W}{x^2} k=\frac{2^* 0.25}{0.35^2} k=4.08 \mathrm{~N} / \mathrm{m}[/tex]
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How to Distinguish Between Seismic, Pulse, and Periodic Waves
Step 1: Determine if the wave travels through the Earth.
Step 2: Determine if the wave is from a sudden disturbance and dies down quickly.
Step 3: Determine if the wave continues for several cycles (not from a sudden disturbance).
Step 4: Analyze the results, remembering that waves can be more than one type of wave.
If the wave travels through the Earth, it is a seismic wave.
If the wave is from a sudden disturbance and dies down quickly, it is a pulse wave.
If the wave continues for several cycles, it is a periodic wave.
Seismic waves are characterized by long wavelength and low frequency, pulse waves by short wavelength and high frequency, and periodic waves by regular wavelength and frequency.
What are the different characteristics of Seismic, pulse, and periodic waves?Seismic waves are created by movement of the Earth's crust and are caused by earthquakes, volcanic eruptions and other geological events. They are characterized by their long wavelength and low frequency.
Pulse waves are created by a single, localized event, such as a rock slide or a meteor impact. They have a single crest and trough and are characterized by their short wavelength and high frequency.
Periodic waves are created by repeating source, such as vibrating tuning fork or guitar string. They are characterized by regular wavelength and frequency.
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you have been asked to design an experiment to show whether spaghetti cooks faster with or without salt in the cooking water. which of the following is the variable being tested?
The quantity of water used, the type of spaghetti used, and the intervals at which the spaghetti is checked to see if it is finished.
Water becomes harder due to the presence of calcium, magnesium, and iron(II) ions, which prevents soap solution from creating a lather. Students examine the impact of several dissolved salts, which comprise a variety of cations and anions, on the production of lather in this experiment. After that, they try to determine which ions are impeding lathering.
The students can work in pairs or bigger groups to complete this as a class project.
The first step for the students is to label eight test tubes. Alternatively, they can individually conduct an investigation using three or four more test tubes and distilled water, as long as they include at least one sodium or potassium salt and one calcium or magnesium salt.
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A force can change an object's___energy by changing its motion or its position. Question options: a. electromagnetic b. mechanical c. potential d. kinetic
Answer:
(d) Kinetic Energy
Explanation:
Applying a force requires us to do work. After work has been done on the body, energy used by us to do work is transferred to the object, and the object will be moving with a new constant speed. The energy transferred is known as kinetic energy, and it depends on the mass and speed achieved.
part d: use the constraints of the real-world situation to predict the height of the water balloon at 10 seconds. use complete sentences to support your answer
The height of the water balloon at 10 seconds will be 0 ft.
The information for a linear pair is given in the question like ordered pair
(0,60); (2,80); (3,80); (4,20); (6,0); (7,0); (8,0)
The values (input) on the time-related x-axis make up the domain.
The values entered on the y-axis, which represents the height the balloon attained, make up the range.
Now it is given that the height of the water balloon is continuously decreasing from 3 seconds after being thrown off the roof, reaching a height of 0ft. at 6 seconds, and maintaining that height up until 8 seconds, Newton's law of motion states that at 10 seconds, provided that no additional force is applied to the balloon, its height is 0ft.
The height of 0 feet is obtained at 10 seconds after the balloon is launched by extending the graph further.
Question)- The linear model represents the height, f(x), of a water balloon...
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds:
Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points)
Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points)
Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points)
Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 14 seconds. Use complete sentences to support your answer. (3 points)
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A 7.5-kg otter slides down a hill, starting from rest at the top. The sloping surface of the hill is 8.8 m long, and the top is 6.5 m above the base. If the speed of the otter at the bottom of the hill is 9.2 m/s, how much energy was lost to nonconservative forces on the hill?
The energy lost to non conservative forces on the hill is
[tex]4,977.5 J - 34.2 J = 4,943.3 J.[/tex]
What percentage of the hill's energy was lost to non conservative forces?The potential energy at the top of the hill is given by mgh, where m is the mass of the object, g is the acceleration due to gravity and h is the height above the base.
Therefore, the potential energy at the top of the hill is [tex]7.5 kg x 9.8 m/s^2 x 6.5 m = 4,977.5 J[/tex]
The kinetic energy at the bottom of the hill is given by[tex]1/2 mv^2[/tex], where m is the mass of the object and v is the velocity.
Therefore, the kinetic energy at the bottom of the hill is[tex]1/2 x 7.5 kg x 9.2 m/s^2 = 34.2 J[/tex]
The energy lost to non conservative forces is the difference between the initial potential energy and the final kinetic energy.
Therefore, the energy lost to non conservative forces on the hill is [tex]4,977.5 J - 34.2 J = 4,943.3 J.[/tex]
The energy loss is due to the various non conservative forces like friction, air resistance, etc. that the otter has encountered while sliding down the hill.
It's worth noting that the energy lost to non conservative forces is not recoverable and the energy conserved can only be converted between different forms.
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A low-strength aspirin tablet (sometimes called baby aspirin) contains 81 mg
of the active ingredient. How many kilograms of the active ingredient does a 100‑tablet bottle of baby aspirin contain?
Answer:
0.0081 kg
Explanation:
A low-strength aspirin tablet contains 81 mg of the active ingredient. To find the total amount of active ingredient in a 100-tablet bottle, we can multiply the amount per tablet by the number of tablets:
81 mg/tablet * 100 tablets = 8,100 mg
To convert milligrams (mg) to kilograms (kg), we divide by 1,000,000.
8,100 mg / 1,000,000 = 0.0081 kg
So a 100-tablet bottle of baby aspirin contains 0.0081 kg of the active ingredient.
Answer:
0.0081 kg
Explanation:
number of 81 mg pills
1 kg = 106 mg
1.05005 x 105 kg = 1.05005 x 1011 mg
n = 1.5005 x 1011 / 8.1 x 10
n = 0.129635802 x 1010
n = 1.29635802 x 109
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identifying wave interactions which picture best demonstrates the phenomenon of diffraction? compact discs a triangular prism with a rainbow coming from it. light coming through tinted glass panels.
Identifying wave interactions, the picture which best demonstrates the phenomenon of diffraction is the one with the compact discs.
In any wave interactions, there are two types of interference that can occur in any kind of waves: constructive interference and destructive interference.
When two waves with the same phase interfere constructively, the outcome is a wave that is twice as amplitude as the original wave since each crest and trough of each wave match those of the other.
The destructive interference occurs when two waves that are out of phase have their crests cancel each other out.
As a result of constructive interference and destructive interference at various spots on the screen, light that travels through a slit will result in a diffraction pattern in which each brilliant pattern corresponds to a crest and a dark pattern to a trough.
The wavefront and how the overlaps produce constructive and destructive interference to produce the diffraction pattern may be represented by the circular shape of the discs.
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Answer:
picture with the discs
EDGE 2023
A 2 m long pendulum has a 100 g bob ties at one end and can oscillate freely.Don't forget to draw the diagrams FBDsa. Calculate the tension in the string in this equilibrium position when is is simply hanging. (Net force =0)The bob is moved to a side till the string makes an angle of 18 degrees with the vertical.b. Calculate the height to which the bob is raised (h=L(1-cos theta))c. Calculate the potential energy gained in the process PE=mghThe bob is now released to oscillate freely.d. Calculate the velocity with which the bob moves past the equilibrium position (v=sqrt(2gL))e. Calculate the tension in the string as bob moves past the equilibrium position (T-mg=mv2/r)
a. The tension in the string in the equilibrium position is 980 N.
In the equilibrium position, the bob is simply hanging and is not moving, so the net force on the bob is 0. The force acting on the bob is the tension in the string, which is equal to the weight of the bob (mg) in the opposite direction.
Therefore, the tension in the string in the equilibrium position is equal to the weight of the bob, which is [tex](100g)(9.8 m/s^2) = 980 N[/tex].
b. The height to which the bob is raised is 0.063 m.
It can be calculated using the equation h=L(1-cos theta).
Therefore, the angle theta is 18 degrees, so the height is (2m)(1-cos 18) = 0.063 m.
c. The potential energy gained in the process is 6.1 J
It can be calculated using the equation PE = mgh. The mass of the bob is 100g = 0.1 kg, the height is 0.063 m and the acceleration due to gravity is 9.8 m/s^2.
Therefore, the potential energy is [tex](0.1 kg)(9.8 m/s^2)(0.063 m)[/tex] = 6.1 J.
d. The velocity with which the bob moves past the equilibrium position is 4.5 m/s.
It can be calculated using the equation [tex]v = \sqrt{ (2gL)[/tex] The acceleration due to gravity is [tex]9.8 m/s^2[/tex] and the length of the pendulum is 2 m, so the velocity is [tex]\sqrt (2(9.8 m/s^2)(2m))[/tex] = 4.5 m/s.
e. The tension in the string as the bob moves past the equilibrium position is 24.7 N.
It can be calculated using the equation [tex]T - mg = mv^2/r[/tex]. The mass of the bob is 100g = 0.1 kg, the velocity is 4.5 m/s, and the radius is 2m, so the tension is [tex](0.1 kg)(4.5 m/s)^2/(2m) + (0.1 kg)(9.8 m/s^2)[/tex] = 24.7 N.
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the bug has the greater acceleration because it has the smaller massthe windshield has the greater acceleration because it has the greater massthey both have the same magnitude of acceleration
The bug has a larger acceleration because it has a smaller mass, according to the claim made.
How does acceleration work?acceleration is the rate of change in both speed and the direction of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated.
What does the law of acceleration simply mean?According to Newton's Second Law of Motion, acceleration (gaining speed) occurs whenever a force is acted on a mass (object). Every law of motion is best demonstrated by riding a bicycle. The mass is your bicycle. Your leg muscles are pressing the pedals.
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I understand that the question you are looking for is:
Which has the greater acceleration: the bug or the windshield?
Ahemingway2948
01/11/2020
Physics
College
answered • expert verified
You throw a softball (of mass 300 g) straight up into the air. It reaches a maximum altitude of 10.1 m and then returns to you. What is the gravitational potential energy of the softball at its highest position? Assume the ball departed from and returned to ground level.
Assume no energy is lost by the softball while it is in the air. What is the kinetic energy of the softball as soon as it leaves your hand? Answer in units of J.
What is the kinetic energy of the softball when it returns to your hand? Answer in units of J.
What is the speed of the ball? Answer in units of m per s.
29.69 J is the gravitational potential energy of the softball at its highest position.
29.69 J is the kinetic energy of the softball when it returns to your hand.
14.069 m/s is the speed of the ball.
What is kinetic energy?The energy of motion, or kinetic energy, may be seen in the movement of an item or subatomic particle. Kinetic energy can be discovered in every moving object and particle. Kinetic energy is generated when anything moving, such as a person walking, a baseball rising through the air, a piece of food dropping from a table, or a charged particle in an electric field. The object's squared velocity determines the kinetic energy. As a result, an object's kinetic energy quadruples when its velocity doubles.
Kinetic energy is divided into five kinds radiative, thermal, sound, electrically, and mechanic.
given that,
mass of the ball = 300 g = 0.3 Kg
maximum altitude of the ball = 10.1 m
Potential energy of the softball:
P.E = mgh
P.E = 0.3 x 9.8 x 10.1
P.E = 29.69 J
Maximum kinetic energy at which the ball is released from hand to reach height of 10.1 m is 29.69 J.
Kinetic energy at which ball returns to your hand is equal to 29.69 J.
speed of the ball:
K.E = 1/2 mv²
or, 29.69 = 1/2 × 0.3 × v²
or, v² = 197.93
or, v = 14.069 m/s
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consider a set-up in which a transmitter is transmitting either a 0 or a 1 and the receiver indicates that it received either a 0 or a 1. denote the events that i
Complete Question: Consider a set-up in which a transmitter is transmitting either a 0 or a 1 and the receiver
indicates that it received either a 0 or a 1. Denote the events that i = 0, 1 was transmitted by Ti and the
events that i = 0, 1 was indicated as received by Ri.
Consider a scenario where the transmitter transmits a 0 or a 1, and the receiver reports receiving a 0 or a 1. The events may be identified, and performance metrics can be computed.
Events of a transmitter in transmitting either a 0 or a 1 have been denoted below:
Tx = Transmitter sends a signal
Rx = Receiver receives a signal
Tx = 0, Rx = 0 = Transmitter sends a 0 and Receiver receives a 0 (correct reception)
Tx = 0, Rx = 1 = Transmitter sends a 0 and Receiver receives a 1 (error)
Tx = 1, Rx = 0 = Transmitter sends a 1 and Receiver receives a 1 (error)
Tx = 1, Rx = 1 = Transmitter sends a 1 and Receiver receives a 1 (correct reception)
These events can be used to calculate various performance metrics such as probability of error, bit error rate, and signal-to-noise ratio.
It's worth noting that errors can happen due to multiple reasons, such as noise, interference, or malfunctioning equipment. The specific metric that is used to evaluate the performance of the system will depend on the requirements of the specific application. For example, in a communication system, the bit error rate (BER) is an important metric, which is the ratio of the number of bits received in error to the total number of bits received. In a control system, the probability of error (PoE) may be more relevant, which is the probability that the receiver will indicate a different value than the one transmitted.
It's important to have a clear understanding of the system requirements and constraints in order to choose the appropriate metric to evaluate the system performance and to ensure that the system meets the desired performance levels.
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Block A in (Figure 1) has mass 1.00 kg, and block B has mass 3.00 kg. The blocks are forced together, compressing a spring S between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block B acquires a speed of 1.50 m/s. What is the final speed of block A?
With block B's mass being 3 kg and block A's mass being 1 kilogramme, block A's final speed in Figure 1 is 4.5 kg*m/s. A spring S between the blocks is compressed when they are crushed together.
The system is then released from rest on a smooth surface devoid of friction. Block A in Figure 1 weighs one kilogramme, while Block B has a mass of three kilogrammes. The system is permitted to come to rest on a flat surface without friction once the blocks are brought together, compressing a spring S between them.
Pb2 = 3.0 * 1.50 = 4.5 kg/m/s and Pb1 = 0, P2 = 0, respectively.
As P2 = PA2+Pb2 = 0,
pa2 = -pb2, pa2 = -4.5 kg*m/s,
-4.5 = 1, and va2 = 4.5 kg*m/s, respectively.
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