Chapter 6, Problem 36P

### 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

# This is a symbolic version of Problem 35. A railroad car of mass M moving at a speed v1 collides and couples with two coupled railroad cars, each of the same mass M and moving in the same direction at a speed v2. (a) What is the speed vf of the three coupled cars after the collision in terms of v1 and v2? (b) How much kinetic energy is lost in the collision? Answer in terms of M, v1, and v2.

(a)

To determine
Speed of the three coupled car.

Explanation

Given Info: Mass of the single car is m1=M , mass of the coupled car is m2=2M , mass of all the three coupled cars is m3=3M , velocity of the single car is v1 , velocity of the coupled car is v2 and velocity of the three coupled car is vf .

Apply conservation of momentum to coupled cars â€“three coupled cars

(m1v1+m2v2)i=(m3v3)f (1)

• m1 is the mass of the single car.
• m2 is the mass of the coupled car.
• m3 is the mass of all the three coupled car.
• v1 is the velocity of the single car

(b)

To determine
Loss of kinetic energy.

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