A children's roller coaster is released from the top of a track. If its maximum speed at ground level is 3 m/s, find the height
1 answer:
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Answer:
112.17 m/s
56.427 years
Explanation:
h = 3.18 x 10^10 m
R = 6.4 x 10^6 m
r = R + h = 3.18064 x 10^10 m
M = 6 x 10^24 kg
The formula for the orbital velocity is given by
v = 112.17 m/s
Orbital period, T = 2 x 3.14 x 3.18064 x 10^10 / 112.17
T = 0.178 x 10^10 s
T = 56.427 years
Answer:
There is at least one instant which instantaneous acceleration is equal to average acceleration. .
Explanation:
The average acceleration experimented by the car is:
According to the Rolle's Theorem, there is at least one instant t so that instantaneous acceleration equal to average acceleration for the analyzed interval. That is to say:
If car is accelerating at constant rate, instantaneous acceleration coincides with average acceleration for all instant t. Then, instantaneous acceleration is:
Since we are ignoring air resistance which is a non-conservative force, the potential energy will be completely converted into kinetic energy, resulting in a final kinetic energy of 
.