Chapter 6, Problem 74AP

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A car of mass m moving at a speed v1 collides and couples with the back of a truck of mass 2m moving initially in the same direction as the car at a lower speed v2. (a) What is the speed Vf of the two vehicles immediately after the collision? (b) What is the change in kinetic energy of the car-truck system in the collision?

(a)

To determine
The speed of the two vehicles immediately after the collision.

Explanation

Given info: The mass of the car is m . The velocity of the car v1 . The mass of the truck is 2m . The velocity of the truck is v2 . The car and the truck move in the same direction.

Explanation:

From conservation of momentum,

Pinitial=Pfinal

• Pinitial is the initial momentum
• Pfinal is the final momentum

The formula to calculate momentum is given by,

P=mv

• m is the mass
• v is the velocity

Hence from the conservation of momentum,

(

(b)

To determine
The change in kinetic energy of the car-truck system in the collision.

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