Question

An Object is orbiting at a distance of 10,000km from the center of a planet. the gravitational force between the object and the planet is 10N what would the gravitational force be if the object were orbiting at a distance of 5,000km? (pls show work)

Answer 1

40 N

Step-by-step explanation:

Gravitational force on an object is:

F = GMm / r²

where G is the universal gravitational constant,

M is the mass of one object (the planet),

m is the mass of the other object,

and r is the distance between the objects.

When r = 10,000 km, F = 10 N.

(10 N) = GMm / (10,000 km)²

GMm = 10⁹ N km²

When r = 5,000 km:

F = (10⁹ N km²) / (5000 km)²

F = 40 N