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The weight of a person on a planet A is about half that on the earth. He can jump upto 0.4 m height on the surface of the earth. How high he can jump on the planet A?

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Answer: 0.8m

Solution.

We will assume that the energy level (power) of a person does not change on changing planet.
Energy used by the person will increase its potential energy.
Therefore potential energy at the end will be same on planet A and earth.
We know the formula of potential energy is given as:
PE=mgh
As acceleration due to gravity is half on planet A. Therefore, the height raised will be twice on planet A.
Hence, height raised on planet A will be 0.8m.

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