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
1.3 J
1.3 J
151.2 J
151.2 J
35.9 J
35.9 J
266.5 J
266.5 J
To find the difference in kinetic energy between the two speeds, we can use the formula:
KE = 1/2 * m * v^2
Substituting the given values:
KE1 = 1/2 * 6 kg * (7.1 m/s)^2 = 1/2 * 6 * 50.41 = 151.2 J
KE2 = 1/2 * 6 kg * (6.2 m/s)^2 = 1/2 * 6 * 38.44 = 115.3 J
Difference in kinetic energy = KE1 - KE2 = 151.2 J - 115.3 J = 35.9 J
Therefore, the correct answer is 35.9 J.