Question

the weight of the body at a height equal to radius of earth is W . its weight at a height equal to three times the radius of earth will be​

Answer 1

Answer:W/4

Explanation:

The value of gravitational acceleration is (g/4) at height equal to the radius of earth.

There the weight of a mass is W

The value will be (g/16) at the height 3times of the radius of earth .

Then there the weight of the same mass is (W/4)

Answer 2

g = GM/R^2 (Where g = acceleration due to gravity, G = gravitational constant, M = mass of the Earth and R = radius of the Earth)

Now

g = GM/R^2 when R equals the Earth's radius

When it becomes 3 times

g' = GM/(3R)^2

=> g' = GM/9R^2

or

g' = 1/9 x GM/R^2

=> The weight would be 1/9 times the weight on the surface of the Earth as

W = mg

where W is the weight of the object, m is the mass of the object, g is the acceleration due to gravity.