An object takes 5s to reach the ground from a height of 5m on a planet . What is the value of g on the planet ?
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Answer:
An object takes 5 seconds to reach the ground from a height of 5 meters on a planet. What is the value of g on the planet?
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Anupam Kumar
Answered 2 years ago
An object take 5 sec to reach the ground from the height of 5 meters on a planet. What is the value of gravity on the planet?
Time taken, t = 5 seconds
Displacement, s = 5 metres
Initial velocity, u = 0 metres/second
Let the acceleration be a m/s2 .
When the acceleration is constant, initial velocity, acceleration, time taken and displacement are related by a simple formula:
s=ut+(1/2)at2
Therefore,
5=(0)(5)+(1/2)(a)(52)
a×(25/2)=5
a=5/(25/2)
a=10/25
a=2/5
a=0.4
Therefore, the acceleration is 0.4m/s2 .
This is the acceleration due to gravity on that planet.
Please note that you can't call ‘acceleration due to gravity’ as ‘gravity’.
Gravity refers to gravitational force. Gravitational force (gravity) due to the planet on any mass ‘m’ (expressed in kilograms) = (0.4×m) newtons