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(II) A tennis ball of mass $m=0.060 \mathrm{kg}$ and speed $v=25 \mathrm{m} / \mathrm{s}$ strikes a wall at a $45^{\circ}$ angle and rebounds with the same speed at $45^{\circ}$ (Fig. 38). What is the impulse (magnitude and direction) given to the ball?

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2.1 $\mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$ , to the left

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Yusuff H.

October 1, 2020

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University of Michigan - Ann Arbor

Hope College

University of Winnipeg

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

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(II) A tennis ball of mass…

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A tennis ball of mass 0.06…

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1. A tennis ball of mass m…

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You are hitting a tennis b…

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02:33

In the overhead of Fig. $…

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In the overhead view of Fi…

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A ball of mass $50 \mathrm…

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In the overhead view of F…

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A $0.0750$ - $\mathrm{kg}…

03:54

Kinetic Energy and Impulse…

Okay, so we're in Chapter nine. Problem 25. So we have a tennis ball of mass 250.6 kilograms international speed of 25 meters per second, as we can see in this figure here strikes a wall at a 45 degree angle and rebounds off with same speed at 45 degrees. And it says, What is the impulse, magnitude and direction given to the ball? So we know that the impulses given asked the change in momentum and from the symmetry of the problem, we see that the vertical momentum of the ball has not changed because initially, we moving upwards at the same speed as we are final. So this is only gonna only have to worry about the perpendicular component of the moment. So this change moment in here could be given us the velocity perpendicular menace in claims of velocity per particular initial. Okay, so let's just do that. So this becomes in times maybe not sign of 45 degrees to give you this for the final particular velocity, and then we can subtract off negative the love signed of 45 degrees because it's moving in the opposite direction and the extent of it initially. So this just becomes to be not sign of 45 degrees so we can find what that is. This is two times 20.6 kilograms times 25 meters per second. Times the sign of 45 degrees Sophie played ball out in. We get a holes of 2.1 kilogram meters per second. In which direction is this gonna be in? Well, we know that the initially were help me to the right moment, um perpendicular, perpendicular component momentum. And finally, we're going this way. So that means the impulse must be and the change of momentum, which is pointing to the left. So that's the direction magnitude in dressed.

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