Question

if the radius of the earth shrinks by 4℅ but mass remains constant, then how will the value of acceleration due to gravity change?​

Answer 1

Answer:

Given:

Radius of Earth decreases by 4%, but mass remains constant.

To find:

% change in acceleration due to gravity.

Formulas used:

$g = \frac{Gm}{ {r}^{2} }$

G => universal gravitational constant

m => mass of Earth

r => radius of Earth.

Calculation:

For very small changes in radius of Earth (< 6%) , the corresponding change in acceleration due to gravity is given by :

$\frac{\delta (g)}{g} = 2 \times \frac{\delta(r)}{r}$

As per the question, (δr/r) = 4%

So, % change in gravity

∴ (δg/g) = 2 × 4%

=> (δg/g) = 8%

So the new gravity will increase by 8%.

Answer 2

Answer in attachment

Answer:

8%

Explanation:

Link of the question:-

https://brainly.in/question/15130682

Link of the questions related to your question where you can get help:

1). https://brainly.in/question/8905877