Question
How much more kinetic energy energy does a 6 kg bowling ball have when it’s rolling at 60 mph (7.1 meters per second) Then when it is rolling at 14 mph (6.2 Meters per second)
KE= 0.5 mv^2
151.2J
1.3J
35.9J
266.5J
KE= 0.5 mv^2
151.2J
1.3J
35.9J
266.5J
Answers
Answered by
GPT 3.5
To calculate the difference in kinetic energy between the two speeds, we first need to calculate the kinetic energy of the bowling ball at each speed.
1. Kinetic energy at 60 mph (7.1 m/s):
KE = 0.5 * 6 kg * (7.1 m/s)^2
KE = 0.5 * 6 * 50.41
KE = 151.2 Joules
2. Kinetic energy at 14 mph (6.2 m/s):
KE = 0.5 * 6 kg * (6.2 m/s)^2
KE = 0.5 * 6 * 38.44
KE = 115.3 Joules
Now, we need to find the difference in kinetic energy between the two speeds:
151.2 J - 115.3 J = 35.9 Joules
Therefore, the difference in kinetic energy when the bowling ball is rolling at 60 mph compared to 14 mph is 35.9 Joules.
1. Kinetic energy at 60 mph (7.1 m/s):
KE = 0.5 * 6 kg * (7.1 m/s)^2
KE = 0.5 * 6 * 50.41
KE = 151.2 Joules
2. Kinetic energy at 14 mph (6.2 m/s):
KE = 0.5 * 6 kg * (6.2 m/s)^2
KE = 0.5 * 6 * 38.44
KE = 115.3 Joules
Now, we need to find the difference in kinetic energy between the two speeds:
151.2 J - 115.3 J = 35.9 Joules
Therefore, the difference in kinetic energy when the bowling ball is rolling at 60 mph compared to 14 mph is 35.9 Joules.