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The maximum vertical distance through wh...

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

A

1.5m

B

3m

C

6m

D

7.5m

Text Solution

Verified by Experts

The correct Answer is:
B
On the moon, `g_(m) = (4)/(3)pi G(R//4) (2rho//3)`
`= (1)/(6) ((4)/(3)pi GR rho) = (1)/(6)g`
Work done in jumping `=m xx g xx 0.5 = m xx (g//6) h_(1)`
`h_(1) = 0.5 xx 6 = 3.0m`
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