The square of the distance between the two charges has an inverse relationship with the force's size. Therefore, the attraction or repulsion weakens if the distance between the two charges is doubled.
What happens to the force if the distance between the objects is doubled?
Therefore, the gravitational attraction between two things weakens as they become farther apart. If there is a twofold increase in the space between two objects (increased by a factor of 2).
If the charges of both objects are doubled, what happens to the electric force?
Explanation: Each object's charge has a direct impact on electrostatic force. The force will therefore increase four times if the charge on both objects is doubled.
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at what height above the earth is the acceleration due to gravity 35.0% of its value at the surface?
The height above the earth where the acceleration due to gravity is 35.0% of its value at the surface is approximately 2.15 times the radius of the earth (or about 15,700km).
How does the distance from the earth's center of mass affect the acceleration due to gravity?The acceleration due to gravity is directly proportional to the distance from the earth's center of mass. As the distance increases, the gravitational force acting on an object decreases, resulting in a lower acceleration due to gravity. This relationship is determined by the inverse-square law, which states that the gravitational force is inversely proportional to the square of the distance from the earth's center of mass. Therefore, as the distance from the earth's center of mass increases, the acceleration due to gravity decreases. This is why objects at higher altitudes experience a weaker gravitational pull than those at sea level.
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a cluster of galaxies is observed to have a recessional velocity of 60,000 km/s. find the distance to the cluster, assuming a hubble constant of 72 km/s per mpc (1 mpc
On the basis of a hubble constant approximately 72 km/s per mpc, D is equal to 833.33 to the cluster.
The Hubble constant is what?In cosmology, the Hubble characteristic is a constant of proportionality that describes the relationship between it velocities of far-off objects and their lengths. It conveys the rate of the universe's expansion. most latest accurate measurements of distant objects' motions and distances.
Does Hubble's Constant exceed the speed of light?The region whereby the galaxies are moving away from each other faster than the speed of light is known as the Hubble sphere, after Edwin Hubble who found the universe was expanding back in the 1920s. Because they light is more red than it should be, they are almost all moving away from us, which is how we know.
Hubble constant = Mpc
= 60,000 / 72
D = 833.33
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When a force moves an object over a rough, horizontal surface at a constant velocity, the work done against friction produces an increase in the object's
The work done against friction produces an increase in the object's internal energy or heat.
How does kinetic energy fluctuate in an object?When the work is done, energy will also have been transferred to the item, which will cause it to move at a new, constant speed. The mass and achieved speed influence the quantity of kinetic energy that is transferred. Kinetic energy is transferable between objects and can transform into other forms of energy.
What is the work-energy theorem?According to the work-energy theorem, the amount of work that an external force does on a system is equal to the total of the changes in the system's kinetic and potential energies. W = ΔEm in mathematics.
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Answer: internal energy
Explanation: it is
The maximum allowed leakage of microwave radiation from a microwave oven is 5.0 mW/cm2.
If microwave radiation outside an oven has the maximum value, what is the amplitude of the oscillating electric field?
E_0= ? and units please
194 V/m is the amplitude of the oscillating electric field.
What is oscillating electric field?An oscillating electric field is an electric field that changes its magnitude and direction over time. It is usually described as an alternating current (AC) electric field, which means the electric field varies cyclically, as the current alternately reverses direction. Oscillating electric fields are used in many applications, such as radar and radio communication, wireless power transfer, and medical imaging. They can also be used to create plasma and control particles in particle accelerators.
In order to find electric field, we can use the formula of power density
Pd = E^2 / Z
where:
Pd = power density in W/m^2
Pd = 5mW/cm^2 = 50 W/m^2
E = electric field strength in V/m
Z = impedance of free space = 120 * PI
re-arrange for E
E = sqrt(Pd * Z)
E = 137.3 V/m Note that this is the RMS value.
The peak amplitude of the oscillating field will therefore be 137.3 * sqrt(2) = 194 V/m
Therefore, 194 V/m is the answer.
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A car of mass 1500 kg, travelling at a steady speed, has a kinetic energy of 200 kj. what is the speed of the car?
The speed of the car is 16.32 m/s, when the mass of the car is 1500kg and the kinetic energy is 200kj.
What is kinetic energy?The energy of motion is known as kinetic energy, and it is manifested in the motion of objects and subatomic particles. Every particle and moving object contains kinetic energy. When something moves, such as when someone walks, a baseball soars, a piece of food falls off a table, or a charged particle moves in an electric field, kinetic energy is clearly visible. The kinetic energy of stationary objects is zero.
The potential energy of objects that aren't moving (the other main type of energy). Potential energy becomes kinetic energy when an object is propelled into motion by a force, such as gravity. For instance, a stretched rubber band stores elastic potential energy, which, upon release, is converted into kinetic energy.
The formula for kinetic energy is
K.E. = 1/2m × v²
200(1000j) = 1/2(1500) × v²
200000 = 750 × v²
v² = 200000/750
v² = 266. 6
v = √266. 6
v = 16.32 m/s
Thus, the speed of the car is 16.32 m/s
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Two bumper cars are driven toward each other. The initial momentum of bumper car 1 is 250. 0 kg and the initial momentum of bumper car 2 is –320. 0 kg. M/s. After the cars collide, the final momentum. Of bumper car 1 is –311 kg. M/s
What is the magnitude of the final momentum of bumper car 2?
Your answer should have three significant figures.
The final momentum of bumper car 2 is -241.0 kgm/s.
The magnitude of the final momentum of bumper car 2 can be found using the conservation of momentum principle, which states that the total momentum of a closed system remains constant before and after a collision.
To calculate the final momentum of bumper car 2, we can use the following equation:
initial momentum of system = final momentum of system
250.0 + (-320.0) = (-311.0) + final momentum of bumper car 2
-70.0 = (-311.0) + final momentum of bumper car 2
final momentum of bumper car 2 = -241.0 kgm/s
The final momentum of bumper car 2 is -241.0 kgm/s.
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In this experiment, optical density is measured using a _______.
spectrophotometer
thermocycler
microscope
caliper
Using a spectrophotometer, optical density is determined in the experiment.
Describe optical density.The optical density of a transparent material is a measure of how quickly light passes through the material. The degree to which any optically dense medium bends transmitted light rays toward or away from the norm is known as its optical density.
High optical density: What does that mean?The slower the wave moves through the material, the higher the optical density. By examining the material's refractive index, one can establish its optical density. How much slower a light wave would flow through the medium in comparison to how quickly it would go through vacuum is represented by the dimensionless refractive index value.
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For the three vectors shown in (figure 1), A + B + C = 1ȷ^. What is vector B ?
(i) Write B in component form
(ii) Write B as a magnitude and a direction
a. -4i^ + 3 j^; 5.0, 37°
b. 4i^ - 3j^; 3.5, 53°
c. -4i^ - 3j^; 4.5, 65°
d. 4i^ + 3j^; 5.0, 53°
a. -4i^ + 3 j^; 5.0, 37° is vector B, its magnitude and direction.
What does the word "vector" mean?A vector is a quantity or occurrence with the discrete characteristics of magnitude and direction. Additionally, the phrase signifies how such a quantity is represented mathematically or geometrically. Examples of vectors in nature include weight, force, electromagnetic fields, momentum, and velocity.
Based on the figure = > A = 4i^
c= -2 j^
A + B + C = 1ȷ^
=> B= 1ȷ^ - 4i^ -(-2 j^)
=> - 4i^ + 3 j^
|B| = sqrt(4^2+3^2) => 5
Direction = tan Ф = 4/3 => 37°
How do you calculate XYZ's magnitude?|v| =(x2 + y2) is the formula to calculate the magnitude of a vector (in two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.|V| = (x2 + y2 + z2) is the formula to calculate the magnitude of a vector (in three-dimensional space) V = (x, y, z).Learn more about vector here:
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If you jounce up and down on a bathroom scale, what varies on the scale reading is
A) mg.
B) the normal force.
C) both of these
D) neither of these
If you jounce up and down on a bathroom scale, what varies on the scale reading is the normal force that is option b is the correct answer.
Why does standing still allow for the best weight reading?The support force acting on you will only accurately reflect your weight when you are in equilibrium. So it is equivalent to the gravity force acting on you.
Would a bathroom scale's gauge have more compression?The bathroom scale's springs are more squeezed as the elevator is moving upwards and display a higher weight reading as a result. The bathroom scale's springs are less compressed and display a lower weight reading when the lift is accelerating downhill.
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A 58kg soccer player, moving at 3.75m/s north hits another 56kg moving at 4.90m/s collide west and
stick together. what is their speed and direction after collision
Their speed after the collision is 2.5 m/s and their direction is west. The direction after the collision is the direction of the final momentum, in this case, the players are moving in the west direction.
What is the conservation of momentum principle and in what situations it is applied?The conservation of momentum principle states that in a closed system, the total momentum before a collision is equal to the total momentum after the collision. The principle is based on the law of conservation of energy and applies to all types of collisions, whether they are elastic or inelastic. The principle is used to calculate the final velocities and direction of motion of objects after a collision. It is widely used in physics and engineering to understand the motion of objects and predict the outcome of collisions.
The speed and direction of the two soccer players after a collision can be determined using the conservation of momentum principle. This principle states that the total momentum of an isolated system remains constant if no external forces are acting on it.
How can we determine this?To calculate the final velocity and direction of the two soccer players, we can use the following equation:
p1 + p2 = pf
where p1 is the momentum of the first player, p2 is the momentum of the second player, and pf is the final momentum of the two players after the collision.
p1 = 58kg * 3.75m/s = 217.5 kg m/s (north)
p2 = 56kg * 4.90m/s = 273 kg m/s (west)
pf = p1 + p2 = 490.5 kg m/s
To find the velocity after the collision, we divide the final momentum by the total mass:
v = pf / (m1+m2) = 490.5 / (58+56) = 2.5 m/s
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a particle has a mass of 4.00 x 10-27 kg and has a kinetic energy of 7.60 mev. what is the speed of this particle?
The speed of this particle v = 1.16 x 106 m/s
what is speed?
Speed is a measure of how quickly an object is moving. It is usually measured in units of distance traveled per unit of time, such as miles per hour (mph) or kilometers per hour (kph).
Given:
Mass (m) = 4.00 x 10-27 kg
Kinetic Energy (Ek) = 7.60 meV
Solution:
Mass-Energy Equivalence:
Ek = (1/2)mv2
Substituting the given values:
7.60 meV = (1/2)(4.00 x 10-27 kg)v2
Rearranging to isolate the variable:
v2 = (7.60 meV)(2/4.00 x 10-27 kg)
Taking the square root:
v = (√(7.60 meV)(2/4.00 x 10-27 kg))
v = 1.16 x 106 m/s
Therefore, The speed of this particle v = 1.16 x 106 m/s
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How many newtons of force are required to pull a basket of fruit 2.5 M in 180 seconds using a 10 W of power?
Answer:
Explanation:
In order to answer this question, we need to first calculate the amount of work required to pull the basket of fruit 2.5 M in 180 seconds. This can be done by multiplying the power (10 W) by the time (180 seconds):
Work = 10 W x 180 s = 1800 J
Now, we can calculate the force required to do this work in 180 seconds by dividing the work (1800 J) by the distance (2.5 M):
Force = 1800 J / 2.5 M = 720 N
Therefore, 720 Newtons of force are required to pull a basket of fruit 2.5 M in 180 seconds using a 10 W of power.
2. A body in motion has velocity of 5i +2j-3k and it is acted upon by a constant force of 4i +3j-2k compute the instantaneous power and the angle between the force and velocity
In order to calculate the instantaneous power, we can use the dot product of the force vector and the velocity vector. The dot product is defined as:
F·V = (4i + 3j - 2k)·(5i + 2j - 3k) = (45) + (32) + (-2*-3) = 20 + 6 - 6 = 20
So the instantaneous power is 20.
To calculate the angle between the force and velocity vectors, we can use the formula:
cos(θ) = (F·V) / (||F|| * ||V||)
where θ is the angle between the vectors, F is the force vector, V is the velocity vector, and ||F|| and ||V|| are the magnitudes of the force and velocity vectors.
First, we need to find the magnitudes:
||F|| = sqrt(4^2 + 3^2 + (-2)^2) = 5
||V|| = sqrt(5^2 + 2^2 + (-3)^2) = sqrt(29)
So we can now calculate the angle:
cos(θ) = (20) / (5 * sqrt(29))
We can get the angle by using the inverse cosine function (arccos)
angle = arccos(cos(θ))
Note that the angle is in radians, if you want to get the angle in degrees, you can use the conversion factor of 180/π.
i need help plssssssss
The object with the greatest inertia is 8 kg bowling ball.
option A is the correct answer.
What is Newton's first law of motion?Newton's first law of motion states that a body at rest or uniform motion in a straight line will continue in that form unless it is acted upon by an external force.
Newton's first law of motion is also called the law of inertia because it depends on the mass of the object.
The inertia of a body or an object is the measure of the reluctance of the body or object to start moving when it is at rest or to to stop moving when it is in motion.
The inertia of an object depends on the mass of the object, thus the greater the mass of an object the greater the inertia of the object and vice versa.
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on a hot sumer afternoon, keith and nate are out fishing in their rowboat when they decide to jump into the water and go for a swim. keith, whose mass is 65.0 kg, jumps straight off the front of the boat with a speed of 2.00 m/s relative to the boat, while nate propels his 68.0-kg body simultaneously off the back of the boat at 4.00 m/s relative to the boat. if the 100.-kg boat is initially traveling forward at 3.00 m/s, what is its velocity after both boys jump?
The velocity of the boat after both boys jump is -6.46 m/s. The velocity is negative, which means the boat is moving backwards after both of the boys jumps.
How are speed and velocity different?Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In other words, speed is a scalar value, but velocity is a vector.
How can we determined this?We can use the principle of conservation of momentum,
In this case, the closed system is the boat and the two boys. Before they jump, the total momentum of the system is the momentum of the boat (mass * velocity). After they jump, the total momentum of the system is the momentum of the boat plus the momentum of Keith plus the momentum of Nate.
The initial momentum of the boat is 100 kg * 3 m/s = 300 kgm/s
The momentum of Keith as he jumps off the boat is 65 kg * 2 m/s = 130 kgm/s
The momentum of Nate as he jumps off the boat is 68 kg * 4 m/s = 272 kg*m/s
The total momentum of the system before the boys jump is 300 kgm/s
The total momentum of the system after the boys jump is 300 kgm/s + 130 kgm/s + 272 kgm/s = 702 kg*m/s
So, we can set the initial momentum equal to the final momentum:
300 kg*m/s = 100 kg * vf + 130 kg * 2 m/s + 272 kg * 4 m/s
where vf is the final velocity of the boat.
Solving for vf,
vf = (702 kgm/s - 130 kg * 2 m/s - 272 kg * 4 m/s) / 100 kg
vf = (702 - 260 - 1088) kgm/s / 100 kg
vf = -646 kg*m/s / 100 kg
vf = -6.46 m/s
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report error the inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. the outside front wheel and the inside front wheel are six feet apart. what is the number of feet in the path traced by the inside front wheel in one trip around the circle
The number of feet in the path traced by the inside front wheel in one trip around the circle is Kπ, where K = 12 is an integer.
What is greater, pi D or pi r?C=πd or C=2πr are two formulas that can be used to determine a circle's circumference. We can enter the numbers for the circle's diameter, which is 8 cm, and an approximate value for pi, which is 3.14, into the formula C=πd. The equation changes to C=(3.14)(8), which equals 25.12.
Circle explain: What is it?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from the "center" of the circle. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Radius of outside wheel = (r + 6) because the inside wheel is 6 feet apart from the outside wheel.
The inside wheels are rotating at half speed as compared to that of outside wheels,
⇒ 2×Circumference of inside wheel = Circumference of outside wheel
⇒ 2×(2π·r) = 2π × (r+6)
⇒ 2π· r = π· r + 6·π
⇒ π·r = 6·π
⇒ r = 6
The total path traced by the inside front wheel in one trip around the circle = 2π·r
= 2π × 6
= 12·π
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a gas cools, and the heat transferred in the process is 1550 j. at the same time it is compressed, and the work involved in compression is 640.0 j. calculate the change in internal energy for the gas in joules.
The change in internal energy of a system is equal to the heat transferred plus the work done on the system.
What is internal energy?Internal energy is the energy of a system that is due to its composition and temperature. It is the sum of the kinetic energy and potential energy of all of the components of the system. It is a thermodynamic state function and can be used to calculate other thermodynamic properties such as enthalpy, entropy, and Gibbs free energy.
Given:
Heat transferred = 1550 J
Work done = 640.0 J
Therefore, the change in internal energy of the gas = 1550 J + 640.0 J = 2190 J.
The change in internal energy of a system is equal to the heat transferred to the system plus the work done on the system. In this case, the gas is cooling and being compressed at the same time. The heat transferred to the system is 1550 J and the work done on the system is 640.0 J. The change in internal energy of the gas is equal to the sum of the heat and work, which is 1550 J + 640.0 J = 2190 J.
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The change in internal energy of a system is equal to the heat transferred plus the work done on the system. 2190 J is the change in internal energy for the gas.
What is internal energy?Internal energy is the energy of a system that is due to its composition and temperature. It is the sum of the kinetic energy and potential energy of all of the components of the system. It is a thermodynamic state function and can be used to calculate other thermodynamic properties such as enthalpy, entropy, and Gibbs's free energy.
Given that:
Heat transferred = 1550 J
Work done = 640.0 J
Therefore, the change in internal energy of the gas:
change in internal energy = 1550 J + 640.0 J
change in internal energy = 2190 J.
The change in internal energy of a system is equal to the heat transferred to the system plus the work done on the system. In this case, the gas is cooling and being compressed at the same time. The heat transferred to the system is 1550 J and the work done on the system is 640.0 J. The change in internal energy of the gas is equal to the sum of the heat and work, which is 1550 J + 640.0 J = 2190 J.
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A negatively charged rod is brought near a neutral metal sphere. Which of the following is true?
There is no electric force between the rod and sphere.
There is a repulsive force between the rod and sphere.
There is an attractive force between the rod and sphere.
Option 3 is Correct. When a neutral metal sphere is brought close to a negatively charged rod, an attractive force develops between the two objects.
Given that two metal spheres are in contact with one another and a negatively charged rod is positioned closer to them as shown: Therefore, unbound electrons from the rod will be drawn to the metal spheres.
Both things pick up the same kind of charge while charging through conduction. When a negative object is used to charge a neutral object, both charged items acquire a negative charge. The negatively charged rod must donate electrons to the neutral sphere in order for it to become negative.
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Correct Question:
A negatively charged rod is brought near a neutral metal sphere. Which of the following is true?
1. There is no electric force between the rod and sphere.
2. There is a repulsive force between the rod and sphere.
3.There is an attractive force between the rod and sphere.
Which one of the following types of electromagnetic wave travels through space the fastest?
a. infrared
b. They all travel through space at the same speed. c. radio waves d. visible e. gamma rays
Infrared, radio waves, visible light, and gamma rays are the electromagnetic waves that travel through space the fastest. All of them move across ether at the same speed.
Describe the electromagnetism.A division of physics known as electromagnetism studies that electromagnetic force that exists across electrically charged particles. One of the four basic forces, the electromagnetic force, produces magnetic waves such as magnetic, electric, and optical fields.
What does electromagnetic mean?They are all collectively referred to as electromagnetic radiation. Because the electromagnetic (EM) waves contain oscillating magnetic and electric fields, they are known as electromagnetic waves. From high to low frequency, scientists categorize them based on their frequency and wavelength
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a force of magnitude acts on a particle during a time interval in which the displacement through a distance of the particle is exactly perpendicular () to the direction of the force. under these conditions the work done by the force will be:
Work done by a force will be the force is in the direction of displacement determined as Force × Displacement in the direction of force.
What does the force on the object do in terms of work?W = Fd is the formula for the amount of work W that a constant force does on an object. It is determined by dividing the force's intensity by the distance the body travels in the force's direction.
What is a distance's displacement?Displacement is simply the distance between an object's starting point and its final location, whereas distance is the length of an object's path. When measured along the shortest path between any two points, displacement is indeed the direct distance between them.
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it takes 15 sec for a pendulum to go through 10 cycles, what is the period of oscillation for this pendulum?
Answer:
Explanation:
it is 20 seconds
what would happen to the volume of a gas if the kelvin temperature is doubled while the pressure is halved
The volume of the gas will be four times the initial volume, if the kelvin temperature of the of the gas is doubled and the pressure is halved.
Let the initial temperature of the gas = T₁
Let the final temperature of the gas = T₂ = 2T₁
Initial pressure of the gas = P₁
Final pressure of the gas = P₂ = P₁/2
The initial volume = V₁
Final volume of the gas = V₂
We know (P₁V₁)/T₁ = (P₂V₂)/T₂
V₂ = (P₁V₁T₂)/(T₁P₂)
V₂ = (P₁V₁× 2×T₁)/(T₁P₁/2)
V₂ = (P₁V₁× 2×T₁×2)/(T₁P₁)
V₂ = 4V₁
Hence the final volume will be four times the initial volume.
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a stone is dropped from the edge of a roof, and hits the ground with a velocity of -125 feet per second. how high (in feet) is the roof?
Answer: the acceleration of an object due to earth's gravity is 32 ft/sec2
Explanation:
y = h - gt2/2 = 0; h = gt2/2; v(t) = dy/dt = - gt; t = - v(t)/g; h = g/2·v2(t)/g2 = v2(t)/(2g) = 1252ft2/s2/(2·32ft/s2) =
244.14 ft
after skiding down a snow-covered hill on an inner tube, ashley is coasting across a level snowfield at a constant velocity of 2.1 m/s. miranda runs after her at a velocity of 4.2 m/s and hops on the inner tube. how fast do the two of them slide across the snow together on the inner tube? ashley's mass is 53 kg, and miranda's is 68 kg. ignore the mass of the inner tube and any friction between the inner tube and the snow.
AHHSL GKAJGLARSKJSR;BL DBM,NTFSKB;AELH[AEBMF,;NBINKGKEAGLS[ HMOSGDFBTR HN;GAEGKPAEG A;BSMN
Ashley and Miranda slide across the snow together on the inner tube at a velocity of 3.27 m/s.
What is velocity?Velocity is the speed of an object in a particular direction. It describes the rate of change in position of an object, and is a vector quantity that includes both magnitude and direction.
To calculate the combined velocity of Ashley and Miranda, we need to use the equation for momentum. Momentum is equal to mass times velocity, so the equation is P = mv, where m is mass and v is velocity.
We can solve this equation for their combined velocity by adding the momentum of each person. Ashley has a mass of 53 kg and a velocity of 2.1 m/s, so her momentum is mv = 53 x 2.1 = 111.3 kg m/s. Miranda has a mass of 68 kg and a velocity of 4.2 m/s, so her momentum is mv = 68 x 4.2 = 284.6 kg m/s. Add these two momentums together to get the combined momentum of 395.9 kg m/s.
To find the velocity of the two combined on the inner tube, we can divide the combined momentum by the combined mass. The combined mass is 53 kg + 68 kg = 121 kg. Divide the combined momentum of 395.9 kg m/s by the combined mass of 121 kg to get the combined velocity of 3.27 m/s.
Therefore, Ashley and Miranda slide across the snow together on the inner tube at a velocity of 3.27 m/s.
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A woman of m= 63 kg stands on the ice. The contact area between her skate and the ice is A = 0.0065 m2a) express the force that the person exerts on the ice, F, in terms of m and g. you do not need to include the force of the column air above herb) calculate the numerical value of F in Nc) express the pressure on the ice from the person P in terms of F and Ad) calculate tthe numerical value of P in Pa.
Force exerted on the eye will be equal to PA, the value of the force applied will be 630 Newton the pressure on the ice from the person will be FA and the numerical value of the pressure will be 96923 Pa.
The mass of the woman is given to be taken 3 kg and the women is standing over a skate and the contact area between her skate and the ice is given to be 0.0065m².
According to the standard relation the pressure the applied force and the area of contact are related to each other as,
P = F/A
They applied force will be equal to the weight of the women and that will be equal to,
F = MG
F = 63×10
F = 630N
Putting the values,
P = 630/0.0065
P = 96923 Pa
So, the pressure that will be felt by the surface of the ice will be 96923 pascals.
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A heart defibrillator is used to enable the heart to start beating if it has stopped. This is done by passing a large current of 12 A through the body at 25 V for a very short time, usually about 3.0 ms. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Power in a short circuit.
Determine the power provided to the body by replacing the values of potential & current with in expression of power, then determine the heat transfer by replacing values of power and time in the language of energy.
Energy formula: What is it?
Albert Einstein came up with the equation, generally written as E = mc2, which states that if a body's energy changes by such an amount E (in any form), its mass (m) changes by an equivalent amount to E/c2.
What are energy and its measure?
The capacity to perform work is referred to as energy. A body's capacity for energy is determined by how much work it can accomplish when it is released. A scalar quantity, energy. The SI unit for energy is called a joule. One joule of energy is the amount of energy needed to perform one joule of work.
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If they are separated so that they are two meters apart, how will the magnitudes of the electrical force and the gravitational force between the protons be affected?
The ratio of electric force and gravitational force is of the order 10³⁶ between the two protons separated by 2 m apart.
Given that,
Distance between the two protons = 2 m
Gravitational force is given by the formula, Gf = G (mp)²/r²
Electric force is given by the expression, E = (K × e × e)/r²
The ratio of electric force to gravitational force is given by the formula,
Ratio = K (1.6× 10⁻¹⁹)²/r² × r²/G × (1.67 × 10⁻²⁷) = (9 × 10⁹)(1.6× 10⁻¹⁹)²/ (6.67 × 10⁻¹¹)(1.67 × 10⁻²⁷) = 1.23 × 10²⁰ × 10¹⁶ = 1.23 × 10³⁶
Thus, the ratio of electric force and gravitational force is of the order 10³⁶. This means that the value increases drastically.
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procedure calculate the density of the aluminum block using measurements taken with the ruler and triple-beam balance 1. measure and record the dimensions and mass of the aluminum block and record values below. include uncertainties. 2. calculate the density of the block and its uncertainty. 3. calculate the percent error between your calculated density value and the expected value of 2.699g/cm3
Dimensions: Length = 12.45cm +/- 0.05cm, Width = 5.65cm +/- 0.05cm, Height = 2.85cm +/- 0.05cm,Mass = 221.3g +/- 0.1g,Calculation of Density:Volume of Block = Length x Width x Height= 12.45cm x 5.65cm x 2.85cm,= 214.25 cm3 +/- 0.25 cm3,Density = Mass / Volume,= 221.3g / 214.25 cm3,= 1.03 g/cm3 +/- 0.01g/cm3,Calculation of Percent Error:Percent Error = (Calculated Value - Expected Value) / Expected Value x 100,= (1.03 g/cm3 - 2.699g/cm3) / 2.699g/cm3 x 100,= -61.90%.
What is the Calculation ?
Calculation is a process of solving a problem by performing a series of mathematical operations or calculations. It involves the use of numerical data, formulas and equations to arrive at a desired result or answer. Calculations can be done manually or by using computers. Calculations are used in a variety of fields such as engineering, finance, physics and economics. Calculation is a way of problem-solving that is used to gain insight into a problem or to arrive at a solution. It involves a systematic approach to arriving at an answer or solution to a problem.
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What is the slope of a Resistance vs Length graph (including units)?
The slope of a Resistance vs Length graph is equivalent to
m = ρ/A. Its unit will be mho m⁻².
What is resistance with reference to a electric wire?Resistance is a measure of the opposition to current flow in an electrical circuit.Resistance is measured in ohms. It is symbolized by the Greek letter omega (Ω). An electric current flows when electrons move through a conductor, such as a metal wire. The moving electrons can collide with the ions in the metal. This makes it more difficult for the current to flow, and causes resistance.Given is the graph between resistance and the length of the wire.
We can write the resistance of a wire as -
R = (mL/ne²Aτ)
In this formula, the term -
(m/ne²τ)
represents a constant value called resistivity {ρ}. So, we can write -
R = ρL/A
where the metallic wire is of length {L}, cross - sectional area {A} and resistivity {ρ}.
Now, we can write the slope of resistance {R} and the length of the wire {L} as the ratio of {R} and {L}. So, we can write -
R/L = m
On comparing, we get -
m = ρ/A
Therefore, the slope of a Resistance vs Length graph is equivalent to
m = ρ/A. Its unit will be mho m⁻².
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a coin with a diameter of 2.21 cm is dropped onto a horizontal surface. the coin starts out with an initial angular speed of 17.5 rad/s and rolls in a straight line without slipping. if the rotation slows with an angular deceleration of 1.66 rad/s2 , how far does the coin roll before coming to rest? answer in units of m. answer in units of m.
Answer:
Approximately [tex]1.02\; {\rm m}[/tex].
Explanation:
Let [tex]\omega_{0}[/tex] denote the initial angular velocity, and let [tex]\omega_{1}[/tex] denote the final angular velocity. It is given that the initial angular velocity is [tex]\omega_{0} = 17.5\; {\rm s^{-1}}[/tex] and [tex]\omega_{1} = 0\; {\rm s^{-1}}[/tex].
Additionally, let [tex]a[/tex] denote the angular acceleration of this coin. It is given that [tex]a = (-1.66)\; {\rm s^{-2}}[/tex] (negative since angular velocity is slowing down.)
Let [tex]\theta[/tex] denote the angular displacement of the coin. Rearrange the rotational SUVAT equation [tex]({\omega_{1}}^{2} - {\omega_{0}}^{2}) = 2\, a\, \theta[/tex] to find the angular displacement [tex]\theta[/tex]:
[tex]\begin{aligned}\theta &= \frac{{\omega_{1}}^{2} - {\omega_{0}}^{2}}{2\, a} \\ &= \frac{(0\; {\rm s^{-1}})- (17.5\; {\rm s^{-1}})}{2\, (1.66\; {\rm s^{-2}})} \\ &\approx 92.25 \; (\text{radians})\end{aligned}[/tex].
It is given that the diameter of the coin is [tex]d = 2.21\; {\rm cm} = 0.021\; {\rm m}[/tex].The radius of the coin would be [tex]r = (d/2) = ((0.021\; {\rm m}) / 2) = 0.0105\; {\rm m}[/tex].
The question is asking for the linear displacement of this coin. Under the assumptions, the linear displacement of this coin would be equal to the product of angular displacement (in radians) and the radius of the coin:
[tex]\begin{aligned}x &= r\, \theta \\ &= (0.0105\; {\rm m})\, (92.25) \\ &\approx 1.02\; {\rm m}\end{aligned}[/tex].
