   Chapter 6, Problem 3CQ

Chapter
Section
Textbook Problem

Two carts on an air track have the same mass and speed and are traveling towards each other. If they collide and stick together, find (a) the total momentum and (b) total kinetic energy of the system, (c) Describe a different colliding system with this same final momentum and kinetic energy.

(a)

To determine
The total momentum.

Explanation

Let m be the mass of the carts and v be the speed before collision. Let V be the speed of the combined mass after collision.

From law of conservation of momentum, the momentum of the bodies before and after collision is the same. Therefore,

mv+mv=(m+m)V2mv=2mV

(b)

To determine
The total kinetic energy of the system.

(c)

To determine
The colliding system with same final momentum and kinetic energy as in (a) and (b).

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