What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6×10 24 kg and radius of the earth is 6.4 × 10 6 m).

Question

What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6&#xD7;10 24 kg and radius of the earth is 6.4 &#xD7; 10 6 m).

Philoid · Accepted Answer

Firstly, we will calculate the magnitude of gravitational force by using the formula:

F = G× _(i)

We know that,

Gravitational constant, G = 6.7 × 10^-11 Nm²/kg²

Given,

Mass of earth, m₁ = 6.4 × 10²⁴ kg

Mass of object, m₂ = 1kg

Distance between centre of earth and object,

Radius of earth, r = 6.4× 10⁶ m

Putting all the values in (i), we get:

F = = 9.8 N

Therefore, the magnitude of gravitational force is 9.8 N

What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6×1024 kg and radius of the earth is 6.4 × 106 m).

What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6×10²⁴ kg and radius of the earth is 6.4 × 10⁶ m).