Question

There are two bodies of masses 100kg and 10000 kg separated by a distance of 1 m . At what distance form the smaller body, intensity of gravitational field is zero?

Answer 1

I = GM/r^2

Gx100/r^2 = Gx10000/(1-r)^2

(1-r)^2 = 100r^2

1-r = 10r

Therefore r = 1/11m

Answer 2

At a distance of (1/11) meters from the smaller body, intensity of gravitational field is zero.

Explanation:

Given that,

Mass of body 1, m = 100 kg

Mass of body 2, M = 10000 kg

Distance between them, d = 1 m

Let at a distance of x meters form the smaller body, intensity of gravitational field is zero. The intensity of gravitational field is given by $\dfrac{Gm}{r^2}$

So,

$\dfrac{Gm}{x^2}=\dfrac{GM}{(x-1)^2}\\\\\dfrac{100}{x^2}=\dfrac{10000}{(1-x)^2}\\\\\dfrac{1}{x^2}=\dfrac{100}{(1-x)^2}\\\\x=\dfrac{1}{11}\ m$

So, at a distance of (1/11) meters from the smaller body, intensity of gravitational field is zero.

Learn more,

Gravitational field

https://brainly.in/question/2555117