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A stationary object with mass $m_{B}$ is struck head-on by an object with mass $m_{A}$ that is moving initially at speed $v_{0}$ , (a) If the collision is elastic, what percentage of the original energy does each object have after the collision? (b) What does your answer in part (a) give for the special cases $(1) m_{A}=m_{B}$ and $(i i) m_{A}=5 m_{B} ?(c)$ For what values, if any, of the mass ratio $m_{A} / m_{B}$ is the original kinetic energy shared equally by the two objects after the collision?

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(a) $\frac{4 m_{A} m_{B}}{\left(m_{A}+m_{B}\right)^{2}}$(b) $\frac{K_{A 2}}{K_{1}}=\frac{4}{9}$ and $\frac{K_{m 2}}{K_{1}}=\frac{5}{9}$(c) $\frac{K_{n 2}}{K_{1}}=\frac{1}{2}$

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

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.

14:09

Energy Sharing in Elastic …

04:46

Object A, which has a mass…

03:06

Inelastic collision. Two o…

02:37

Kinetic energy in elastic …

05:24

Two Bodies Collide Two $2.…

01:53

Two objects, one of mass 3…

01:22

06:46

Object $B$ is at rest when…

A projectile body of mass …

06:38

A particle of mass $m$, in…

01:41

A body of mass $m_{1}$ mak…

04:11

Two particles of mass $m_…

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