   # Car B is traveling twice as fast as car A, but car A has three times the mass of car B. Which car has the greater kinetic energy? ### An Introduction to Physical Science

14th Edition
James Shipman + 3 others
Publisher: Cengage Learning
ISBN: 9781305079137

#### Solutions

Chapter
Section ### An Introduction to Physical Science

14th Edition
James Shipman + 3 others
Publisher: Cengage Learning
ISBN: 9781305079137
Chapter 4, Problem 6SA
Textbook Problem
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## Car B is traveling twice as fast as car A, but car A has three times the mass of car B. Which car has the greater kinetic energy?

To determine
Which car has the greater kinetic energy – Car A or Car B.

### Explanation of Solution

The kinetic energy of an object is due to motion of an object. The kinetic energy depends on the mass and the velocity of an object.

Formula for the kinetic energy is as,

Ek=12mv2

Here,

m is the mass of an object

v is the velocity of an object

Calculate the kinetic energy for car A

EkA=12mAvA2 (1)

Here,

mA is the mass of an object.

vA is the velocity of an object.

Calculate the kinetic energy for car B.

EkB=12mBvB2 (2)

Here,

mB is the mass of an object.

vB is the velocity of an object.

Divide equation (1) by (2).

EkAEkB=12mAvA212mBvB2

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