(a) The magnitude of the electric field is 5 N/C.
(b) The direction of the electric field is 53.1 ⁰.
What is the magnitude of the electric field?
The magnitude of the electric field is calculated as follows;
E = √ ( Ex² + Ey² )
where;
Ex is the x component of the electric fieldEy is the y component of the electric fieldE = √ ( 3² + 4² )
E = 5 N/C
The direction of the electric field is calculated as follows;
θ = arc tan ( Ey / Ex )
θ = arc tan ( 4 / 3 )
θ = 53.1 ⁰
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the speed of light is approximately 1.86 x 10^7 kpmmhow long does it take light from the sun to reach earth
8 minutes and 20 second is the time it takes to reach earth.
What is speed of light and how long does it take light from the sun to reach earth?Around 1.86 x 107 kilometers per second, light travels at its speed. About 93,000,000 miles (150,000,000 kilometers) separate the sun from the Earth. Sunlight takes 8 minutes and 20 seconds to reach Earth.It is important to note that this distance is not fixed and it varies due to the elliptical shape of the Earth's orbit around the sun. The closest point of the Earth's orbit to the sun is called the perihelion and the farthest point is called the aphelion. At perihelion, the distance between the Earth and the Sun is about 147 million kilometers and at aphelion is about 152 million kilometers. This means that the time light takes to travel from the Sun to the Earth can vary by a few seconds.To learn more about speed of light refer:
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Can anyone help me on this question please?
(a) The x and y component of 6 N are 4.8 N and 3.6 N respectively.
(b) The magnitude of the resultant of the three forces is 1 N.
What is the direction of the forces?
The direction of the forces is calculated as follows;
θ = arc tan ( Vy / Vx )
θ = arc tan ( 3 / 4 )
θ = 36.87 ⁰
The x and y component of 6 N is calculated as follows;
Fx = 6 cos (36.87 ) = 4.8 N
Fy = 6 x sin ( 36.87 ) = 3.6 N
The sum of all the x component of the three forces = -4 N + 4.8 N = 0.8 N
The sum of all the y component of the three forces = -3 N + 3.6 N = 0.6 N
The resultant force is calculated as follows;
F = √ ( 0.6² + 0.8² )
F = 1 N
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a 60 kg man is going to use an elevator that will transport him upwards with an acceleration of 2 m/s². What is the force exerted by the floor of the elevator under the feet of that man?
The force is [tex]\bold{120 \: N}[/tex].
Step by step explanation:Newton's 2nd LawNewton's Second Law states that the resultant force acting on a body is equal to the product of the mass of this body times the acceleration it acquires.
We represent Newton's 2nd Law with the following formula:
[tex]\boxed{\bold{{F=m~ \cdot~a}}}[/tex]
Solution of the exercise:
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\displaystyle\text{$\mathrm{ \bold{F}= \bold{m}~ \cdot~ \bold{a}\left\{\begin{matrix}\displaystyle\text{$ \rm{ \bold F=? \: \bold{N}}$}\\\displaystyle\text{$\rm \bold{{m=60kg}}$}\\\ \: \displaystyle\text{$\rm{ \bold{a=2 m/s^{2} }}$} \end{matrix}\right.}$}\\\\\\\\ \: \displaystyle\text{$\rm{ \bold{F=60~\cdot~2}}$}\\\\\\\\ \boxed{\displaystyle\text{$\rm{ \bold{F=120~N.} }$}}\end{gathered} \end{gathered}\end{gathered}[/tex]
∴ The force is [tex]\bold{120 \: N}[/tex].
Answer: Therefore, the force exerted by the elevator floor under that man's feet is 120 Newtons.
Explanation:
A 60 kg man is going to use an elevator that will transport him upwards with an acceleration of 2 m/s². What is the force exerted by the floor of the elevator under the feet of that man?
Data:
m = 60 kg
a = 2 m/s²
F = ?
The formula for Newton's second law is:
F = m × aWhere
F = forcem = massa = accelerationSince we must calculate the force, it is not necessary to solve the formula. We substitute data and solve, then
F = 60 kg × 2 m/s²
F = 120 Newton
Therefore, the force exerted by the elevator floor under that man's feet is 120 Newtons.
A truck of mass 500 kg moving at 4 m/s collides with another truck of mass 1500 kg moving in the same direction at 2 m/s.What is their common velocity just after the collision if they move off together?
2.5m/s is their common velocity just after the collision if they move off together.
What is common velocity?We refer to the objects as having a common final velocity because after an inelastic collision, the objects stick together. In place of being two distinct objects, they have combined to form one bigger object.
We have given the,
Mass of first truck , m₁ = 500kg
Speed of first truck, u₁ = 4m/s
Mass of second truck, m₂ = 1500kg
Speed of second truck, u₂ = 2m/s
Combined mass of both trucks, m = 1500 + 500 = 2000kg
Using the law of conservation of momentum,
m₁u₁ + m₂u₂ = mv
Combined velocity is,
500 × 4 + 1500 × 2 = 2000 × v
[tex]$\mathrm{ v = \frac{500 \times 4 + 1500 \times 2}{2000} }[/tex]
v = [tex]\dfrac{2000 + 3000}{2000}[/tex]
v = [tex]\dfrac{5000}{2000}[/tex] = 2.5m/s
Thus, 2.5m/s is their common velocity just after the collision if they move off together.
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if a freshener is sprayed into a room what happens to the pressure of the gas if the temperature stays the same
If a freshener is sprayed into a room, the pressure of the gas will remain the same if the temperature remains constant.
What is tempreture?Temperature is a measure of the amount of heat energy in a physical system. It is measured in degrees Fahrenheit (°F), Celsius (°C), Kelvin (K), or Rankine (°R). Temperature is a crucial factor in determining the rate of chemical reactions, the viscosity of liquids, and the state of matter, among other things. It is also used to measure the thermal comfort of humans and animals, and is an important factor.
This is because the number of molecules of the freshener in the room will remain constant, and the total pressure of the gas in the room is a result of the number of molecules present. When the temperature remains the same, there is no change in the average kinetic energy of the molecules, so the pressure of the gas will remain unchanged.
The addition of the freshener does, however, affect the composition of the gas in the room. The freshener will add a new type of molecule to the gas, which will change its overall composition. Depending on the type of freshener, the gas may also become more or less reactive and/or flammable.
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A 20.0-kg object has an eastward momentum of 120 kg m/s. The object encounters a
westward impulse of 40 N.s. What is the magnitude of the final momentum of the object?
8m/s the magnitude of the final momentum of the object
Describe momentum.
Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. Momentum is measured by "mass velocity," which takes into account the fact that it depends on both the speed and direction of the body's motion.
Newton's second law of motion states that a body's rate of momentum change is equal to the net force applied to it. In any inertial frame, momentum is a conserved quantity depending on the frame of reference, which means that if an enclosed system is not exposed to external influences, its total linear momentum is constant.
m = 20kg
Pi = 120kg m/s
J = 40Ns
ΔP = Pf - Pi
40 = Pf - 120
Pf = 160
Pf = m*vf
vf = 160/20 = 8m/s
Pi = m*vi
vi = 120/20 = 6m/s
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when using hairspray you notice that the can is getting cold. try to explain this in simple terms using the 1st law of thermodynamics.
The 1st law of thermodynamics states that energy can neither be created nor destroyed, only transferred from one form to another.
What is thermodynamics?Thermodynamics is a branch of physics that studies the relationships between heat, energy and work. It is used to explain how energy is transformed, and how energy is transferred from one system to another. Thermodynamics also explains the behavior of matter and systems in terms of energy and entropy. It helps us understand how energy is conserved and how energy is used in various processes. Thermodynamics is an important field of science that helps us understand the nature of energy, the laws of nature and the ways we can use it to our advantage.
In this case, the energy from the hairspray is being transferred from a liquid to a gas and is released as heat. As the liquid evaporates, the can gets colder due to the transfer of heat energy.
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A car travels up a hill at a constant speed of 31 km/h and returns down the hill at a constant speed of 79 km/h. Calculate the average speed for the round trip.
The average car speed for one round trip on the hill is 45.54 km/hr
The car travels up a hill at the speed of 31 km/h
The car travels down the hill at the speed of 79 km/h
The average speed by the car can be found using the formula,
S = d/t
where s is the average speed
d is the total distance covered
t is the total time taken
The time taken by the car to up a hill is
t₁ = d /s₁
Let us substitute the known values,
t₁ = d / 32 x 2
= d / 64
The time taken by the car to reach the down of the hill is
t₂ = d/79 x 2
= d / 158
Thus, the average speed of the car is
S = d / (d/64 + d/158)
= 10112d / 222d
= 45.54 km/hr
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the temperature in a room at midnight is 22 c over the next 24 hours the temperature changes at a rate modeled by the fnction___
The temperature changes at a rate modeled by the fnction Change in temp in Celcius between midnight and 6:00am.
Which H(t)*dt interpretation is the most accurate?The temperature in a room at midnight is 22 c over the next 24 hours the temperature changes at a rate modeled by the fnction is The rate of temperature change is denoted by H(t). Therefore, if we integrate H(t), we will obtain the temperature change.Here are the facts:The difference in temperature between 6:00 AM (represented by the number 6) and midnight will be indicated (represented with the 0).The right answer is since it will indicate the change in temperature between midnight and six.The temperature changes at a rate modeled by the fnction Change in temp in Celcius between midnight and 6:00am.To learn more about temperature refer to:
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Explorer 35 took 11.5 hours to orbit the Moon. Use this period, and the semimajor axis of Explorer 35's orbit, to find the Moon's mass in kilograms (kg). Choose the answer that is closest to your calculated value. O 5 x 10^21 kg O 5 x 10^22 kg O 5 x 10^23 kg O 5 x 10^24 kg
The orbit of the Moon by exploration 35 took 11.5 hours. The mass of the moon is 5 x 1022 kg.
How does an orbit work?A route that a space-bound object follows around another is known as an orbit. The hemisphere, extraocular musculature, nerves, blood arteries, the conjunctiva apparatus, including adipocytes are all housed within the bony orbits of the skull. The globe is shielded by each orbit, and the supporting tissues enable three-dimensional movement.
What triggers an orbit to occur?A planet or moon's forward speed in space and the gravitational pull of another body located in space, including a big planet or star, are perfectly balanced to form orbits. High Orbit around earth, medium Orbital spaceflight, and low Orbital maneuvers are the three main categories of Earth orbits.
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The orbit of the Moon by exploration 35 took 11.5 hours. The mass of the moon is 5 x 1022 kg.
How does an orbit work?A route that a space-bound object follows around another is known as an orbit. The hemisphere, extraocular musculature, nerves, blood arteries, the conjunctiva apparatus, including adipocytes are all housed within the bony orbits of the skull. The globe is shielded by each orbit, and the supporting tissues enable three-dimensional movement.
where T is the period of the orbit, a is the semimajor axis of the orbit, G is the gravitational constant, M is the mass of the star (in this case, the Moon), and m is the mass of the planet (in this case, Explorer 35).
We know[tex]T = 11.5 hours = 11.5 hours * 3600 s/hour = 42000 s[/tex], and the semimajor axis of Explorer 35's orbit is the average distance from the Moon to Explorer 35, which we'll call d. The mass of Explorer 35 is much smaller than the mass of the Moon, so we can approximate it as 0.
Plugging in the values and solving for M, we find:
[tex]M = 4 * π^2 * d^3 / (G * T^2) = 4 * π^2 * d^3 / (G * 42000^2) = 4 * π^2 * d^3 / (6.67430 * 10^-11 m^3/kg * 42000^2)[/tex]
Since we don't know the value of d, we can't find an exact value for M, but we can use it to determine which of the given answers is closest to the calculated value.
Based on the given answer choices, the closest value to [tex]M is 5 * 10^22 kg.[/tex]
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10 J of heat are removed from a gas sample while it is being compressed by a piston that does 20 J of work. What is the change in the thermal energy of the gas? Does the temperature of the gas increase or decrease?
The amount of heat extracted from the gas sample is. The heat removal is represented by the negative sign.
The results of the work done on the gas sample are.
The gas is being worked on. As a result, it will be interpreted positively.
When the gas is heated, what happens to the piston?When the gas is heated, it expands and pushes the piston up, exerting work on the piston. When the piston is pulled down, the piston does work on the gas while the gas does negative work on the piston.
This is an illustration of how a thermodynamic system performs work.
When heat is removed from a substance, it turns from a gas to a liquid or from a liquid to a solid.
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the p-wave shadow zone is larger than the s-wave shadow zone seismic waves follow curved paths through the interior of the earth p-waves travel more slowly in lower density materials liquids do not transmit s-waves. True or false?
All of the statements are True.
Give reasons to support your answer.The p-wave shadow zone is larger than the s-wave shadow zone because p-waves can travel through the Earth's core, while s-waves cannot. This means that the region where no p-waves are detected (the shadow zone) is larger than the region where no s-waves are detected.
Seismic waves do follow curved paths through the interior of the Earth. This is because the speed of seismic waves depends on the density and elastic properties of the material they are passing through, which vary at different depths and locations.
P-waves travel more slowly in lower density materials. This is because p-waves are compressional waves that are affected by the density of the material they are passing through. Lower density materials will have less resistance to compression, allowing the waves to travel more slowly.
Liquids do not transmit s-waves. This is because s-waves are transverse waves that require a solid medium to propagate. Liquids do not have the same level of shear strength as solids and therefore s-waves cannot pass through them.
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identify the graph(s) below in which the slope of the line provides an estimate of the heritability value for a trait? A.The mean value for the parents and offspring combined B.The average of the offspring and the average of the parents C.It depends on what aspect of heritability is being measured D.One parent and one offspring
Option C: Depending on what element of heritability is being examined x is the mid-parent trait value and y is the offspring trait value.
How effectively genetic variations in humans explain variations in their attributes is determined by their heritability. In addition to mental illnesses like schizophrenia and autism spectrum disorder, traits can also include physical qualities like height, eye color, and IQ. How much of the variation in a particular characteristic may be ascribed to genetic variation is known as heritability, which is a statistical concept (represented by the symbol h2) in science. An estimate of a trait's heritability pertains to a single population in a single environment, and it can alter over time as conditions change.
Between 0 and 1 heritability estimates are given. A heritability close to zero means that environmental variables account for practically all of the variation in a characteristic among individuals.
The correct question is:
identify the graph(s) below in which the slope of the line provides an estimate of the heritability value for a trait?
A.The mean value for the parents and offspring combined
B.The average of the offspring and the average of the parents
C.It depends on what aspect of heritability is being measured
D.One parent and one offspring
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A 10,000-kg truck moving at 10 m/s collides with a 2000-kg car moving.at 30 m/s in the opposite direction. If they stick together after impact, how fast, and in what direction, will they be moving?
When they collide, if they keep together, how quickly and in what directions will they move? 2000-kg automobile traveling at 30 m/s collides with object moving at m/s. M₁ = 1500 grams. V₁i=15m/s.
How is momentum determined?p = m v . The equation demonstrates that motion is directly related to a direction of motion (m) and rate (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.
What is a 10,000 kg's momentum?Here, mt denotes the truck's mass, and vt denotes its speed. Consequently, the truck's momentum is measured at 12 104 kg/m/s or 12 10 4 kg/m/s.. Angular momentum is a scalar quantity that represents the energy of motion in an object. Sometimes people mistake motion for force. Momentum changes as a result of forces, but forces do not change because of momentum. The greater the change in energy, the greater the force required to produce that change.
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When they collide, if they keep together, how quickly and in what directions will they move? 2000-kg automobile traveling at 30 m/s collides with object moving at m/s. M₁ = 1500 grams. V₁i=15m/s.
How is momentum determined?p = m v . The equation demonstrates that motion is directly related to a direction of motion (m) and rate (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.
What is a 10,000 kg's momentum?Here, mt denotes the truck's mass, and vt denotes its speed. Consequently, the truck's momentum is measured at 12 104 kg/m/s or 12 10 4 kg/m/s.. Angular momentum is a scalar quantity that represents the energy of motion in an object. Sometimes people mistake motion for force. Momentum changes as a result of forces, but forces do not change because of momentum. The greater the change in energy, the greater the force required to produce that change.
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Define the term "stability" from both a kinetic and a thermodynamic perspective. Give examples to show the differences in these concepts.
While kinetic stability is the stability of a system's greatest energy state, thermodynamic stability refers to the stability of the system's lowest energy state.
The thermodynamic perspective focuses on the amount of energy needed for chemical events to occur. The kinetic perspective, on the other hand, is concerned with the amount of time needed for the aforementioned phenomena to occur. When it comes to the stability of a compound, these viewpoints are complementary to one another: a system is said to be thermodynamically stable when it is found to be at its lowest energy level or in chemical equilibrium with its surroundings - the activation energy to change the system is high and the reaction does not happen spontaneously. A stable system will react much more slowly than an unstable one in terms of kinetics; similarly to thermodynamics, the reaction does not happen on its own.
Toluene nitration at 0 degrees celsius is an illustration of kinetic control in action. A direct reflection of the rate of product production is the distribution of the products (orto-, 61,5%; meta-, 1,5%; para-, 37,0%). It is feasible to comprehend the thermodynamic rule in another toluene reaction (the Friedel-Crafts alkalation) where the proportion of various products created over time reflects the greater stability of each product rather than the passage of time. Time controls how the reaction starts, and energy controls how the entire reaction works.
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50% part (a) one night it snows so that the snow on the lawn has a uniform depth of 18.5 cm. what volume of snow is on the lawn, in cubic meters? v
The volume of snow on the lawn is 6331.625 cm³
What is volume?Volume is the area occupied inside the confines of an item in three dimensions. It is frequently known as the object's capacity. An object's capacity is expressed in terms of volume. The quantity of space filled by a three-dimensional object may also be used to describe volume. The basic equation for volume is length, width, and height, as opposed to the fundamental equation for the area of a rectangular shape, which is length, breadth, and height. For examples, one could use "depth" rather than "height."
The shape of the snow is assumed to be a cube
Therefore, the volume of the snow is the cube of its uniform depth.
Given that,
Uniform depth = 18.5 cm
Volume = (uniform depth)³
Volume = (18.5 cm)³
Volume = 6331.625 cm³
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Estimate the moment of inertia of a bicycle wheel 68 cm in diameter. The rim and tire have a combined mass of 1.2kg . The mass of the hub can be ignored.
The moment of inertia of a 68 cm diameter bicycle wheel is 1387.2 kg.m². The rim and tire weigh 1.2kg together. The hub's mass is unimportant.
The moment of inertia of a hoop about an axis passing through its center is, I=mR²
I=mR²
I=m(D/2)²
I=mD²/4
I=(1.2kg)(68 cm(10⁻² m/1cm))²/4
I=1387.2 kg.m²
A body's resistance to having the speed of its rotation along an axis changed by the application of torque is quantified by the term "moment of inertia" in physics (turning force). The axis could be fixed or not fixed, internal or exterior. Nevertheless, the moment of inertia (I), which is always described in relation to that axis, is calculated as the total of the products produced by multiplying the mass of each particle of matter in a particular body by the square of that particle's distance from the axis. The moment of inertia can be compared to mass in linear motion when calculating the angular momentum of a rigid body.
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if the planetary albedo is 30 percent, this means that the amount of energy reflected back to space is 30 percent.
Yes, it is true to say that a planet with an albedo of 30% will reflect 30% of its energy back into space.
What is planetary albedo?The planetary albedo is the percentage of incoming solar energy that Earth scatters back into space. The processes that control the magnitude, distribution, and variability of this reflected energy are fundamental to the Earth's energy balance and have a significant impact on both climate and climate change. The earth's planetary albedo is the proportion of radiant energy that is reflected back into space. The atmospheric component accounts for 88% of the observed global average planetary albedo. Because the atmosphere reduces the surface's impact on planetary albedo by a factor of about three, surface reflection has a relatively small impact on it.Here,
Yes, it is true that a planet's albedo of 30% indicates that 30% of the energy it receives is reflected back into space.
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show that, in the limit that v is small, the relativistic kinetic energy reduces to the ordinary kinetic energy from newtonian classical mechanics,
Relativistic kinetic energy turns into classical kinetic energy when traveling at low speeds.Since it takes an endless amount of labor and energy to accelerate a mass to the speed of light, no object with mass can reach that speed.
At low speeds, what happens to relativistic kinetic energy? Relativistic kinetic energy turns into classical kinetic energy when traveling at low speeds.Since it takes an endless amount of labor and energy to accelerate a mass to the speed of light, no object with mass can reach that speed.Classical mechanics is subject to two constraints.First, the velocity of the objects must be substantially slower than the speed of light, v > c, in order to avoid relativistic mechanics.The bodies must also be suitably massive and/or energetic.Therefore, v by c is root 3 by 5, and v is root 3 by 5 times c, which is 0.35 c or 1.04 into 10 to the power 8 meters per second.Consequently, the velocity at which there is a 10% difference between the relativistic and newtonian formulations of kinetic energy is v = 0.35 c or 1.04 into 10 to the mute 8.To learn more about kinetic energy refer
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an elephant walks north from a watering hole for 1 mile. the elephant encounters a hill and turns east the elephant continues to walk east until it reaches a tree it stays near the tree for 1 hour before continuing on to a grassy field which is a point of reference that should be used to describe the elephant's motion
The hill should be the a point of reference that should be used to describe the elephant's motion.
What is frame of reference?A frame of reference (also known as a reference frame) is an abstract coordinate system used in physics and astronomy whose origin, orientation, and scale are determined by a collection of reference points.
These points are geometric objects whose positions are both mathematically (using numerical coordinate values) and physically (using coordinates) identified (signaled by conventional markers).
As the hill is easy to find, it should be the a point of reference that should be used to describe the elephant's motion.
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find the minimum height h that will allow a solid cylinder of mass m and radius rcyl to loop the loop of radius rloop .
The minimum height h that will allow a solid cylinder of mass m and radius h = rloop + (m * g) / (2 * π * rcyl)
What is the acceleration due to gravity? The acceleration due to gravity is the rate at which an object accelerates when freely falling in a vacuum. This acceleration is caused by the gravitational attraction between two massive objects. It is usually denoted by the symbol ‘g’ and its magnitude is 9.8 m/s2 near the Earth’s surface.The magnitude of the acceleration due to gravity changes with the distance from the center of the Earth. The acceleration due to gravity decreases with the increase in the distance from the center of the Earth. This is because the force of gravity decreases with the increase in the distance. At the Earth’s surface, the acceleration due to gravity is usually taken as 9.8 m/s2. The acceleration due to gravity is directly proportional to the mass of the object.The acceleration due to gravity is an important factor in the calculation of the force of gravity, the weight of an object, the time taken for an object to fall, and other important parameters. It is also used in calculating the trajectory of a projectile. The acceleration due to gravity is also used to calculate the escape velocity of a rocket and the speed with which a satellite orbits the Earth.To learn more about acceleration due to gravity refer to:
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the chart shows the visible part of the electromagnetic spectrum. which statement is true regarding this part of the spectrum?
The exact statement relating to this spectrum The most frequent color is violet.
What area of the electromagnetic spectrum is considered visible?The visible spectrum's principal hues or wavelengths are blue, green, and red. They are classified as such because no other two primary colors can be combined to make a single primary color, but any other color can be generated by mixing blue, green, and red in different ratios.
Which of the following claims regarding the electromagnetic spectrum is accurate?Mechanical waves need a medium to propagate, but electromagnetic waves need not. This indicates that electromagnetic waves are capable of passing not only through solid objects like air and rock but also through a vacuum like space.
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the function d defined above shows the depth, in feet, of the water t hours after 12 a.m. in a certain harbor. which of the following presents the method for finding the instantaneous rate of change of the depth of the water, in feet per hour, at 6 a.m. ? responses
The instantaneous rate of change is the rate change at a single instant, and it is the same as the derivative value change at a specific point.
What is the instantaneous rate of change explained?The tangent line slope is the same as the instantaneous rate of change at a particular location on a graph.It has a curve slope, in other words.
B. D' (6) = 0 is the formula for calculating the instantaneous rate of change of the sea depth at 6 AM in feet per hour.
D (t) = 10 + 4.9 cos (pi/6 * t) is a function.
After 12 am, D is described above as the water's depth, measured in feet.
Which of the following demonstrates how to calculate the instantaneous rate of change in feet per hour for the water depth at 6 am?
Differentiate:
D'(t) is equal to -4.9 sin (t / 6) ( / 6
D'( 6 ) = -4.9 sin ( π ) ( π / 6 )
The fact that
sin ( π ) = 0
so D'( 6 ) = 0
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if a ball rebounds 3/4 as far as it falls how far will it travel becfore coming to a rest if it is dropped 13 feet
A ball that bounces rises to a height of 3/4 its original height. The object will bounce 16 times before coming to rest.
What is velocity?The directional speed of an object in motion, as measured by a specific unit of time and observed from a specific point of reference, is what is referred to as velocity. The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate. Speed is the absence of direction; velocity is the presence of direction. Since velocity is a vector quantity, we must specify both the magnitude (the speed) and the direction of travel when expressing it.
Here,
Given:
Height=13 feet
First bounce=3/4*13=9.75 feet
Second bounce=3/4*9.75=7.3125 feet
Third bounce=3/4*7.3125=5.484 feet
Forth bounce=3/4*5.484=4.11 feet
Fifth bounce=3/4*4.11=3.084 feet
Sixth bounce=3/4*3.084=2.31 feet
Seventh bounce=3/4*2.31=1.735 feet
Eight bounce=3/4*1.735=1.301 feet
Ninth bounce=3/4*1.301=0.976 feet
Tenth bounce=3/4*0.976=0.732 feet
Eleventh bounce=3/4*0.732=0.55 feet
Twelfth bounce=3/4*0.55=0.41 feet
Thirteenth bounce =3/4*0.41=0.31 feet
Fourteenth bounce=3/4*0.31=0.24 feet
Fifteenth bounce=3/4*0.24=0.18 feet
Sixteenth bounce=3/4*0.18=0.135 feet
When a ball bounces, it rises to 3/4 of the height from which it fell. It will travel 16 bounces before coming to rest.
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in designing subway trains and stations, engineers want to optimize the time and energy use between stations. a train can comfortably accelerate at 5 ft/s2 without causing its passengers to fall over. when coasting, the train will slow down at an acceleration of -2 ft/s2. the train begins at rest and must come to a complete stop at the destination. if two train stations are 2 miles apart, determine the fastest time that the train can arrive at the second station given the provided accelerations. also, determine the maximum velocity obtained. draw the a-t, v-t, and s-t graphs for the train. (122 s, 174 ft/s)
The fastest time that the train can arrive at the second station given the provided accelerations , the maximum velocity obtained 174 m/s
What is the maximum velocity obtained?Let t1 and t2 represent the time needed for acceleration a1 and deceleration a2.
the same since the ultimate velocity during acceleration and the beginning velocity during deceleration
a₁ t₁ = a₂ t₂
5t₁ = 2 t₂ ————————————————————— ( 1 ) ( 1 )
Acceleration distance equals half of a1t12.
= 1/2 x 5 x t₁² = 2.5 t₁²
Deceleration distance equals half of a2t22.
= 1/2 x 2 x t₂² = t₂²
Total distance travelled: 10560 feet, or 2 miles, or 2 x 1760 feet.
2.5 t₁² + t₂² = 10560
2.5 ( 2t₂ / 5 )² + t₂² = 10560
.4 t₂² + t₂² = 10560
1.4 t₂² = 10560
t₂ = 86.85 s
t₁ = 2t₂ / 5 = 34.75 s
t₁ + t₂ = 121.6 = 122 s
Time spent: 122 seconds.
maximum speed = a1t1
= 5 x 34.75 = 173.75 = 174 m/s
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a privately owned yacht leaves a dock in myrtle beach, south carolina, and heads toward freeport in the bahamas at a bearing of S 1.4E . the yacht averages a speed of 20 knots over the 428-nautical-mile trip.
Leaving a pier in Myrtle Beach, South Carolina, a privately owned yacht travels with a bearing of S 1.4E toward Freeport, Bahamas. Over the 428 nautical mile journey, the boat travels at an average speed of 20 knots.
d=r×t
428=20×t
t=21.4 hours it take the yacht to make the trip.
20×12=240Nm
sin14°=ε/240
ε=5.9Nm
cos14°=S/240
S=239.9Nm is the yacht after 12 hours.
180°-14°=178.6° bearing should be taken.
Speed can be defined as the distance covered by an object in relation to the time it takes to cover that distance. In other words, it is a measurement of how fast an object moves but does not provide direction. The term "velocity" refers to the relationship between direction and speed.
The SI unit system is most commonly used to express speed units. Speed is measured in metres per second (m/s) because distance is measured in metres and time is measured in seconds. Unit Representation: The speed is denoted by "s" and is measured in metres per second (ms-1). The distance travelled is expressed in metres (m) and denoted by d. The letter "t" represents the amount of time spent.
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e potential energy associated with the force between two neutral atoms in a molecule can be modeled by the Lennard-Jones potential energy function:U(x) = 4ε[(σx)^(12)−(σx)^6] where x is the separation of the atoms. The function U(x) contains two parameters σ and ε that are determined from experiments. Sample values for the interaction between two atoms in a molecule areσ= 0.263 nm and ε= 1.51×10^(−22)J. (a) Make a plot of this function with x in units of 10^(−10)m and U(x) in units of 10^(−23)J.(b) Find the most likely distance between the two atoms.(c) Is this equilibrium point stable, unstable, or neutral?
a) To make a plot of the Lennard-Jones potential energy function, U(x) = 4ε[(σx)^(12)−(σx)^6], with x in units of 10^(-10)m and U(x) in units of 10^(-23)J, one can use the given values of σ and ε to plug into the equation and then plot the resulting values of U(x) against x.
What is e potential energy?To find the most likely distance between the two atoms, one can take the derivative of the potential energy function with respect to x, and set it equal to zero. This will give the position of minimum potential energy, or the equilibrium point, which corresponds to the most likely distance between the atoms.The nature of equilibrium point can be determined by looking at the second derivative of the potential energy function at that point. If the second derivative is positive, the equilibrium point is a stable one, if it is negative, it is an unstable one and if it is zero it is a neutral one.To learn more about e potential refer:
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a mass is lifted from the ground to an altitude h1, requiring work w1. the work to lift an identical mass to an altitude h2 is w2. if h2 is twice h1, what is the ratio of w2 to w1? (note: assume that the force of gravity does not change between h1 and h2.)
The ratio requested is answer D.2:1 .In a gravitational field, g, the work required to raise a mass m to a height h is W = mgh.
What does the H in MGH stand for?In a gravitational field, g, the work required to raise a mass m to a height h is W = mgh.This is an illustration of how labor is defined simply as the result of multiplying a force (in this case, mg) by a distance (h in this case).If the height doubles, the amount of work required to lift the same amount of weight also doubles.Answer D is the ratio you asked.P.E. = mgh is the formula for gravitational force, where m is mass in kilograms, g is acceleration due to gravity (9.8 m/s2 at the earth's surface), and h is height in meters.To learn more about gravitational field refer
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in a period of 1.0 s, 5.0 x 1023 nitrogen molecules strike a wall of area 8.0 cm2. if the molecules move at 300 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (the mass of one n2 molecule is 4.68 x 10-26 kg.)
P 17.4k a: Pressure applied to the wall. The quantity of force applied to a certain region is referred to as pressure.
What is pressure, and what is its SI unit?
The thrust (orthogonal force on a substrate) occurring per unit volume of a body is referred to as pressure. It can be stated mathematically as follows: Pascal is the SI systolic pressure (Pa). One Pascal is the amount of pressure one Newton of force applies to a square inch of space. Furthermore, 1 P an Equals 1 N / m 2.
What does pressure have a name in the SI?
pascal (Pa) (Pa),In the European System of Units, pressure or stress is measured in pascals (Pa) (SI). It bears Blaise Pascal's name, a mathematician and physicist. Applied force of one newton (N) per square metre is equal to one pascal (P) (m2).
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Please Help!!
Tracy brought some chocolate chips in a plastic container with her lunch. She decided to save them and eat them while she waited for the bus after school. All afternoon, her lunch bag sat near the warm window in her classroom. When she finally took the container out after school, the chocolate chips had turned into a hard chunk of chocolate shaped like the bottom of the container. What happened to the chocolate chips?
They started as a solid, melted, and then became a solid again.
They changed from a solid to a gas before becoming solid once again.
They were cool solid to start, then became a warm solid before cooling again.
They went from being a hard solid to a gas, a liquid, and then to a hard solid again.
Answer:
the answer is
They started as a solid, melted , and then became a solid again.
