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Dear Student, The value of acceleration due to gravity on the surface of the planet is 1/5 nbsp; So, we can write that, mg'h'=mgh #8658;g5h'=2g #8658;h'=1 ...

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Byju's Answer

Standard VII

Physics

Average Speed and Average Velocity

Acceleration ...

Question

$A c c e l e r a t i o n d u e t o g r a v i t y o n a p l a n e t i s {\frac{1}{5}}^{t h} t h a t o n e a r t h . I f i t i s s a f e t o j u m p f r o m a h e i g h t o f 2 m o n e a r t h, w h a t w i l l b e c o r r e s p o n d i n g s a f e h e i g h t o n t h i s p l a n e t ? (A s s u m e s a f e t y d e p e n d s o n t h e v e l o c i t y o f r e a c h i n g g r o u n d)$

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Solution

Dear Student,
The value of acceleration due to gravity on the surface of the planet is 1/5
So, we can write that,
$m g' h' = m g h \Rightarrow \frac{g}{5} h' = 2 g \Rightarrow h' = 10 m$

So you can jump from a height of 10 m on the surface of the planet safely.
Regards

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Acceleration due to gravity on a planet is 15th that on earth. If it is safe to jump from a height of 2m on earth, what will be corresponding safe height on this planet? (Assume safety depends on the velocity of reaching ground)

Dear Student, The value of acceleration due to gravity on the surface of the planet is 1/5 So, we can write that, mg'h'=mgh⇒g5h'=2g⇒h'=10 m So you can jump from a height of 10 m on the surface of the planet safely. Regards

Dear Student,
The value of acceleration due to gravity on the surface of the planet is 1/5
So, we can write that,
$m g' h' = m g h \Rightarrow \frac{g}{5} h' = 2 g \Rightarrow h' = 10 m$

So you can jump from a height of 10 m on the surface of the planet safely.
Regards