Question

Two spheres of masses m1 and m2 having radius r1 and r2 respectively touch each other. Then the gravitational force between them is

Answer 1

Answer:

the answer is Gm1m2/r1+r2whole square

Answer 2

Answer:

The gravitational force acting between the spheres of masses m₁ and m₂ is $G\frac{m_1m_2}{ (r_1+r_2_ )^2}$.

Explanation:

The gravitational force is defined as the force of attraction between two bodies. It is directly proportional to the product of their masses and inversely proportional to the square of the distance present between them.

$F\propto \frac{M_1M_2}{d^2}$

$F=G\frac{M_1M_2}{d^2}$           (1)

Where,

G=universal gravitational constant

M₁, M₂= masses of the respective bodies

d=distance between the bodies

According to the question,

M₁=m₁

M₂=m₂

d=(r₁+r₂)

r₁ and r₂ is the radius of the respective spheres

By putting these in equation (1) we get;

$F=G\frac{m_1m_2}{ (r_1+r_2_ )^2}$

Hence, the gravitational force acting between the spheres of masses m₁ and m₂ is $G\frac{m_1m_2}{ (r_1+r_2_ )^2}$.