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The maximum vertical distance through which a fully dressed astronaut can jump on the earth is 0.5m. Estimate the maximum vertical height which he can jump on the moon, which has a mean density (2/3)rd that of earth and radius one quarter that of the earth.

The maximum vertical distance through which a fully dressed astronaut can jump on the earth is 0.5m. Estimate the maximum vertical height which he can jump on the moon, which has a mean density (2/3)rd that of earth and radius one quarter that of the earth.

Grade:9

1 Answers

meera
15 Points
4 years ago
Answer:
3 meter
Explanation:
The formula which will be applied here is v^2 = u^2 + 2gh
Since final velocity is zero in both cases and the initial velocity is the same for astronauts on both earth and moon. 
Therefore height is inversely proportional to acceleration due to gravity g. Now we know g on Moon is 1/6 of g on earth... So we can use g of earth / g of moon = vertical height at the moon / vertical height at earth because g is inversely proportional to vertical height. (told you that above) 
Now put the values:-
6 = vertical height at moon / 0.5
Therefore, vertical height at moon = 3 m
 
 

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