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Chapter 1: Q10DQ (page 193)

Does a car鈥檚 kinetic energy change more when the car speeds up from 10 to 15 m/s or from 15 to 20 m/s? Explain.

Short Answer

Expert verified

Yes, the kinetic energy changes more when the car speeds up.

Step by step solution

01

Describe the Kinetic Energy

The expression for the Kinetic Energy is given by,

K=12mv2

Here, mis the mass of an object, andv is the velocity of the object.

02

Determine whether the kinetic energy change more when the car speeds up from 10 to 15 m/s or from 15 to 20 m/s

Find the change in kinetic energy when speed changes fromv1=10m/s to v2=15鈥�m/s.

鈭�K=12mv22-v12=12m152-102=62.5m

Find the change in kinetic energy when speed changes fromv1=15m/s to v2=20m/s.

鈭�K=12mv22-v12=12m202-152=87.5m

From the above calculations, it is clear that the change is kinetic energy in second condition is more than the first condition.

Therefore, yes, the kinetic energy changes more when the car speeds up from 10 to 15 m/s or from 15 to 20 m/s.

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