acceleration due to gravity of a person on a planet A is half of that on earth.He can jump up to a height of 0.4 on the surface of earth.How high can he jump on planet A when his potential energy remains the same on both the planets ?
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we know that mass of the person is constant and we also know that the potential energy is mass*g*height
therefore potential energy on the Earth is equal to the potential energy on the planet
therefore mg1h1(Earth)=mg'h'(planet)
cancelling out m on both sides
gh1=gh'/2
h1=0.4m (assuming it to be in metres)
0.4g=gh'/2
cancelling the g on both sides
0.4= h'/2
h'=0.4*2=0.8 m
hope it helps
therefore potential energy on the Earth is equal to the potential energy on the planet
therefore mg1h1(Earth)=mg'h'(planet)
cancelling out m on both sides
gh1=gh'/2
h1=0.4m (assuming it to be in metres)
0.4g=gh'/2
cancelling the g on both sides
0.4= h'/2
h'=0.4*2=0.8 m
hope it helps
Anonymous:
Thanks
welcome
Are you sure this is the correct ans?
yes
as I said that potential energy is same then mgh (earth) would be same as mg'h'(planet)
as g on planet is half of that on the Earth so the height must be double
ok.
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