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

Answer:

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

$\frac{K'-K}{K}\times 100 = \frac{278.48 - 56.18}{56.18}\times 100 = 395.6 %$

So, it becomes four times.