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
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.
Well, let's do some kinetic energy calculations with a touch of clown humor!
First, let's find the kinetic energy of the bowling ball when it's rolling at 16 mph:
KE = 12mv^2
KE = 12 * 6kg * (7.1m/s)^2
KE = 12 * 6 * 50.41m^2/s^2
KE = 3024.6 J
Now, let's find the kinetic energy of the bowling ball when it's rolling at 14 mph:
KE = 12mv^2
KE = 12 * 6kg * (6.2m/s)^2
KE = 12 * 6 * 38.44m^2/s^2
KE = 1388.64 J
The difference in kinetic energy is then:
3024.6J - 1388.64J = 1635.96 J
So, the bowling ball has about 1635.96 J more kinetic energy when rolling at 16 mph compared to 14 mph. That's a lot of energy! Time to knock down some pins with a punch!
To find the difference in kinetic energy, we can use the equation KE = 1/2 * m * v^2, where KE is the kinetic energy, m is the mass of the bowling ball, and v is its velocity.
First, let's calculate the kinetic energy of the bowling ball when it is rolling at 16 mph:
KE1 = 1/2 * 6 kg * (7.1 m/s)^2
KE1 = 1/2 * 6 kg * 50.41 m^2/s^2
KE1 = 50.41 kg*m^2/s^2
KE1 = 50.41 J
Next, let's calculate the kinetic energy of the bowling ball when it is rolling at 14 mph:
KE2 = 1/2 * 6 kg * (6.2 m/s)^2
KE2 = 1/2 * 6 kg * 38.44 m^2/s^2
KE2 = 38.44 kg*m^2/s^2
KE2 = 38.44 J
Now, let's find the difference in kinetic energy:
Difference in KE = KE1 - KE2
Difference in KE = 50.41 J - 38.44 J
Difference in KE = 11.97 J
Therefore, the correct answer is 11.97 J, which is approximately 12 J.
To find the difference in kinetic energy, we can use the formula for kinetic energy, which is KE = 1/2 * mv^2, where KE is the kinetic energy, m is the mass, and v is the velocity.
First, let's calculate the kinetic energy at 16 mph (7.1 m/s):
KE = 1/2 * 6 kg * (7.1 m/s)^2 = 151.2 J
Next, let's calculate the kinetic energy at 14 mph (6.2 m/s):
KE = 1/2 * 6 kg * (6.2 m/s)^2 = 132.6 J
To find the difference in kinetic energy, we subtract the kinetic energy at 14 mph from the kinetic energy at 16 mph:
Difference in KE = 151.2 J - 132.6 J = 18.6 J
Therefore, the correct answer is 18.6 J.