Question

How does a car's kinetic energy change when it speeds up from 10 to 20 m/s?a. It quadruples. b. It stays the same. c. It doubles. d. It triples.

Answer 1

Answer: It quadruples (a)

Step-by-step explanation:

Kinetic energy is energy due to virtue of motion of a body. For a body in motion, it must possesses velocity.

Kinetic energy = 1/2MV²

M is mass of the body

V is the velocity

If the initial velocity of the body is 10m/s

K.E = 1/2 ×100M1... 1

K.E = 50M1

For the velocity of the body @ 20m/s

K.E = 1/2 × 400M2...2

K.E = 200M2

Equating the values of both KE in 1 and 2 we have;

50M1 = 200M2

M1 = 4M2

M1/M2 = 4

This shows that the car's kinetic energy quadruples )a)