Question

the distance between pluto and sun is 40 time the earth. the mass of pluto and earth be equal what will be the ratio of gravitational force​

Answer 1

Answer:

The ratio of gravitational force of sun on earth and Pluto is 1600

Distance between pluto and sun = 40 x distance of earth from sun.

Let distance of earth from sun = r

Then distance of pluto from sun = 40 r

Let mass of earth = Me

Let mass of pluto = Mp

Given Me = Mp = M

Let m be the mass of the sun

Gravitation force is given by F = \frac{G M1 M2}{d^{2} }

d

2

GM1M2

Therefore,

Force of sun on earth , Fe= G M1 M2 / r^2 = G Mm/r^{2}r

2

Force of sun on pluto , Fp= G M m / (40r)^{2}(40r)

2

= G Mm /1600r^{2}r

2

Ratio of Forces : Fe/Fp = 1600