Question

a sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4*10^5 N if G =6*10^-11 Nm^2 per kg^2 calculate the distance between the 2 spheres

Answer 1

concept of gravitation

Answer 2

Distance between two sphere is 6*10^-7 m

Mass of sphere 1(m1)=40 kg

Mass of sphere 2(m2)=60 kg

Force of gravitation =4*10^5 N

Gravitational constant (G)=6*10^-11 N m^2 per kg^2

Let the distance between two spheres be r.

We know that according to gravitational law we have force of attraction between two bodies is directly proportional to the product of masses of bodies and inversely proportional to the square of distance between them.

So we have F=(Gm1m2)/r^2 so we have

r^2=(Gm1m2)/F substituting the values we have:--

r^2=(6*10^-11*40*60)/4*10^5

r^2=6*6*10^-14 so r=6*10^-7 m

So distance between them is 6*10^-7 m