Question

An object weighs 72 N on earth.what will be its weight at height of R/2 from earth?

32 N, 56 N, 72 N ,89N

plz provide solution

Answer 1

32 h iska answer assignment kr liya

Answer 2

Answer:

Weight at height of R/2 from earth is 32 N.

Explanation:

Since we know that the variation of acceleration due to gravity above the earth surface at height h is given by

$g^{'} =g\times (\dfrac{R}{R+h} )^{2}$...............................(1)

We need to find the weight of the object at height R/2 from earth.

Put h=R/2 in (1) equation we get,

$g^{'} =g\times (\dfrac{R}{R+\dfrac{R}{2} } )^{2}=g\times \dfrac{4}{9}$

So, $g^{'} = \dfrac{4}{9}\times g$.................(2)

Multiply by m both sides in equation (2)

$W^{'}=\dfrac{4}{9}\times W=\dfrac{4}{9}\times 72=32 N$

So,weight at height of R/2 from earth is 32 N.