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Suppose you hold a small ball in contact with, and directly over, the center of a large ball. If you then drop the small ball a short time after dropping the large ball, the small ball rebounds with surprising speed. To show the extreme case, ignore air resistance and suppose the large ball makes an clastic collisionwith the floor and then rebounds to make an elastic collision with the still-descending small ball. Just before the collision between the two balls, the large ball is moving upward with velocity $\overrightarrow{\boldsymbol{v}}$ and the small ball has velocity $-\overrightarrow{\boldsymbol{v}}$ . (Do you see why? Assume the large ball has a much greater mass than the small ball. (a) What is the velocity of the small ball immediately after its collision with the large hall? (b) From the answer to part (a), what is the ratio of the small ball's rebound distance to the distance it fell before the collision?

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(a) $\overrightarrow{\mathbf{v}}_{A 2}^{\prime}=\left(\frac{m_{B}-m_{A}}{m_{A}+m_{B}}\right) \vec{v}$(b) $h_{2}=\frac{9 v^{2}}{2 g}=9 h_{1}$

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

University of Michigan - Ann Arbor

Hope College

University of Sheffield

Lectures

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

03:30

In physics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Given a force, F, applied for a time, t, the resulting change in momentum, p, is equal to the impulse, I. Impulse applied to a mass, m, is also equal to the change in the object's kinetic energy, T, as a result of the force acting on it.

15:44

Suppose you hold a small b…

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01:13

A small ball of mass m = 1…

05:25

A tennis ball of mass $m_{…

12:15

06:35

Three Balls ball $A$ with…

06:26

Amplified Rebound Height T…

01:42

A ball of mass $m$ moving …

04:53

A small ball of mass $m$ i…

03:07

03:37

Two balls undergo a perfec…

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