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Spheres $A(\operatorname{mas} 0.020 \mathrm{kg}), B(\mathrm{mass} 0.030 \mathrm{kg}),$ and $C$ $(\text { mass } 0.050 \mathrm{kg})$ are approaching the origin as they slide on a frictionless air table (Fig. 8.41$)$ . The initial velocities of $A$ and $B$ are given in the figure. All three spheres arrive at the origin at the same time and stick together. (a) What must the $x$ - and $y$ -components of the initial velocity of $C$ be if all three objects are to end up moving at 0.50 $\mathrm{m} / \mathrm{s}$ in the $+x$ -direction after the collision? $(b)$ If $C$ has the velocity found in part (a), what is the change in the kinetic energy of the system of three spheres as a result of the collision?

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(a) $v_{C 1 x}=1.75 \mathrm{m} / \mathrm{s}$$v_{C 1 y}=0.26 \mathrm{m} / \mathrm{s}$(b) $\Delta K=-0.092 \mathrm{J}$

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

Simon Fraser University

Hope College

University of Winnipeg

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.

0:00

Spheres $A$ (mass 0.020 kg…

08:15

07:32

Spheres $A(\operatorname{m…

01:27

02:45

SpheresA (mass 0.020 k…

10:02

Spheres A (mass 0.020 kg )…

01:31

Spheres A (mass 1 kg), B (…

Problem _Li (3 pts) In the…

07:37

Two spheres, each of mass …

06:01

$\bullet$ A ball with a ma…

13:44

A 0.500 -kg sphere moving …

07:22

Three identical small sphe…

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