How many times greater is the force of gravity on a 6.0 kg object lying on the surface of a moon than on a 6.0 kg object orbiting at a distance 6 times greater than the radius of the moon?

if an object is on the surface of Moon then the force of gravitation is given as

here

M = mass of moon

R = radius of moon

now in other case we have the same object orbiting at distance 6 times greater than the radius of moon

so the force of gravitation is given as

now we will find the ratio of two forces

so here the force of gravity on orbiting object is 36 times less than the object which is placed on the surface of moon

the only real purpose of sputnik 1 was to beat the us into space. we were getting close to launching a useful satellite, explorer 1 - which launched on january 31, 1958. the ussr had to beat that, so they launched sputnik 1 on october 4, 19