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
35.9 J
35.9 J
266.5 J
266.5 J
151.2 J
151.2 J
1.3 J
To find the difference in kinetic energy, we can use the formula:
ΔKE = KE1 - KE2
Where ΔKE is the difference in kinetic energy, KE1 is the kinetic energy when rolling at 16 mph, and KE2 is the kinetic energy when rolling at 14 mph.
Using the formula KE = 1/2mv^2, we can calculate the kinetic energy for both scenarios:
KE1 = 1/2 * 6 kg * (7.1 m/s)^2 = 151.2 J
KE2 = 1/2 * 6 kg * (6.2 m/s)^2 = 123.9 J
Now, let's find the difference:
ΔKE = KE1 - KE2 = 151.2 J - 123.9 J = 27.3 J
Therefore, the bowling ball has 27.3 J more kinetic energy when rolling at 16 mph compared to when it is rolling at 14 mph.