Question

If the average distance between the earth and the sun is 1.5 × 1011 m, calculate the force of gravitation between the two. Given:mass of the earth = 6 ×1024 kg
mass of the sun = 2 ×1030 kg
value of G = 6.7 ×10–11 Nm2kg–2

Answer 1

Explanation:

Here according to the question

Mass of the earth = 6 × 10²⁴ Kg (given)

mass of the sun = 2 × 10^30 Kg (given)

and the distance between earth and sun = 1.5 × 10¹¹ m

between earth and sun = 1.5 × 10¹¹ m F= GMm/r²

between earth and sun = 1.5 × 10¹¹ m F= GMm/r² = 6.67 × 10-¹¹ × 6 × 10²⁴ × 2 × 10^30/(1.5 × 10¹¹)²

between earth and sun = 1.5 × 10¹¹ m F= GMm/r² = 6.67 × 10-¹¹ × 6 × 10²⁴ × 2 × 10^30/(1.5 × 10¹¹)² = { 6.67 × 6 × 2/2.25} × 10¹³ × 10^30× 10-²²

between earth and sun = 1.5 × 10¹¹ m F= GMm/r² = 6.67 × 10-¹¹ × 6 × 10²⁴ × 2 × 10^30/(1.5 × 10¹¹)² = { 6.67 × 6 × 2/2.25} × 10¹³ × 10^30× 10-²²= 35.57 × 10²¹ N

between earth and sun = 1.5 × 10¹¹ m F= GMm/r² = 6.67 × 10-¹¹ × 6 × 10²⁴ × 2 × 10^30/(1.5 × 10¹¹)² = { 6.67 × 6 × 2/2.25} × 10¹³ × 10^30× 10-²²= 35.57 × 10²¹ N = 3.557 × 10²² Newton.Hope this would be helpful.