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

1.3 J
1.3 J

35.9 J
35.9 J

266.5 J

1 answer

35.9 J

To calculate the kinetic energy at 16 mph:
KE = 1/2 * 6 kg * (7.1 m/s)^2
KE = 1/2 * 6 * 50.41
KE = 3 * 50.41
KE = 151.23 J

To calculate the kinetic energy at 14 mph:
KE = 1/2 * 6 kg * (6.2 m/s)^2
KE = 1/2 * 6 * 38.44
KE = 3 * 38.44
KE = 115.32 J

The difference in kinetic energy:
151.23 J - 115.32 J = 35.91 J

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