Question

Suppose that the radius of the earth becomes the twice of its original radius without any change in its mass. Then what will happen to your weight

Answer 1

Answer:

weight is inversely proportional to the square of radius. Therefore, when radius R of the earth becomes twice of its present radius, our weight become 1/4 of its present value.

Explanation:

if this helps then mark me as the brainliest

Answer 2

Given:

• The radius of the earth is twice its original radius.

To Find:

• The change in our weight when the radius of the earth is twice its original radius.

Solution:

We know that F = $\frac{GMm}{r^2}$  is the weight of the body which is attracted towards the earth.

∴ W = $\frac{GMm}{r^2}$  → (1)

If the radius of the earth becomes twice the original radius then,

⇒ W = $\frac{GMm}{(2r)^2}$  = $\frac{GMm}{4r^2}$ → (2) , comparing equation (2) with equation (1) we get,

⇒ W = 1/4

Hence, the weight is reduced by one-fourth of its original weight.

∴ The weight is reduced by one-fourth of its original weight.