Question

If the gravitational force between a planet of mass M and a satellite of mass m at distance is 2.5 * 10 ^ 3 * N what is the force exerted on a larger satellite of mass 2m , at a distance 0.8r away from planet M ?

Answer 1

F = 7.8 10³ N

Step-by-step explanation:

For this exercise we will use the law of universal Gravitational

F = G M m / r²

for initial conditions

F₀ = G M m₀ / r₀²

They tell us that the mass changed at m = 2m distance at r = 0.8r₀

we substitute

F = G M 2m₀ / (0.8 r₀) ²

F = (GM m₀/ r₀²)
`(2)/(0.64)`

F = 3.125 F₀

let's calculate

F = 3.125 2.5 10³

F = 7.8125 10³ N