Question

Find the gravitational force between earth and an object of 2 kg mass placed on its surface. ( Given, mass of the earth = 6×10^24 kg and radius of the earth = 6.4 x 106 m)​

Answer 1

Answer:-

Given:

Mass of earth (M) = 6 × 10²⁴ kg

Radius of earth (r) = 6.4 × 10⁶ m

Mass of object (m) = 2 kg

We know that,

Gravitational force (F) = GMm/r²

[ G is gravitational constant ]

• G = 6.67 × 10⁻¹¹ Nm²/kg²

So,

⟶ F = 6.67 × 10⁻¹¹ × 6 × 10²⁴ × 2 / (6.4 × 10⁶)²

• aᵐ × aⁿ = aᵐ⁺ⁿ

⟶ F = 80.04 × 10⁻¹¹⁺²⁴ / 6.4 × 10⁶ × 6.4 × 10⁶

• aᵐ / aⁿ = aᵐ⁻ⁿ

⟶ F = 80.04 × 10¹³⁻⁶⁻⁶ / 40.96

⟶ F = 1.9 × 10

⟶ F = 19 N

∴ The gravitational force between the earth and the object is approximately 19 N.