A 50,000 kg planet is seperated a distance of 3300 m from a second planet of mass 24,000 kg. What is the force due to gravity between the two objects?

Respuesta :

Force due to gravity between the two objects = 7.35 × 10⁻⁹ N

Explanation:

Given:

Mass of first planet = 50,000 kg

Mass of second plant = 24,000 Kg

Distance between these two planets =3300 m

To Find

Force due to gravity between the two planets = ?

Formula to be used:

Newton's law of gravitation( F) = [tex]$\frac{Gm1m2}{r^2}[/tex]

Solution:

Using the given masses of the 2 planets and the distance between them, we can find the force between the 2 planets by using this formula,

F = [tex]$\frac{Gm1m2}{r^2}[/tex]

Here,

m1 and m2 are the masses of the 2 planets

r is the distance between the 2 planets

plugin the values as, m1 = 50,000 kg,

m2= 24,000 kg and r = 3300 m

and g is the gravitational constant whose value is 6.67 × 10⁻¹¹ m³ s⁻²kg⁻¹ as,

F = [tex]$\frac{6.67\times10^{-11}\times 50,000\times 24,000}{3300^2}[/tex] = 7.35 × 10⁻⁹ N