Question

g By what factor does your kinetic energy increase if you speed up from 10.6 to 23.6 miles per hour? Enter your answer to two significant figures. If you energy doubles, enter 2.0. If it increases by 50%, enter 1.5.

Answer 1

Step-by-step explanation:

Let the mass is m.

initial velocity, u = 10.6 mph

final velocity, v = 23.6 mph

initial kinetic energy, K = 0.5 mu²

K = 0.5 m x 10.6 x 10.6 = 56.18 m .... (1)

Final kinetic energy, K' = 0.5 mv²

K' = 0.5 x m x 23.6 x 23.6 = 278.48 m ..... (2)

Percentage increase in kinetic energy is given by

`(K'-K)/(K)* 100 = (278.48 - 56.18)/(56.18)* 100 = 395.6 %`

So, it becomes four times.