How much more kinetic energy does a 6-kilogram bowling ball have when it is rolling at 16 mph (7.1 meters per second) than when it is rolling at 14 mph (6.2 meters per second)?

KE=12mv2
(1 point)
Responses

151.2 J
151.2 J

35.9 J
35.9 J

1.3 J
1.3 J

266.5 J
266.5 J

1 answer

The correct answer is 35.9 J.

Using the kinetic energy formula KE=1/2mv^2, we can calculate the kinetic energies of the bowling ball at each speed:

At 16 mph: KE = 1/2 * 6 kg * (7.1 m/s)^2 = 151.2 J

At 14 mph: KE = 1/2 * 6 kg * (6.2 m/s)^2 = 115.3 J

The difference between these two energies is:

KE difference = 151.2 J - 115.3 J = 35.9 J

Therefore, the bowling ball has 35.9 J more kinetic energy when rolling at 16 mph than at 14 mph.