Question

.Calculate the gravitational force between a 20 kg ball and 50 kg ball placed at a distance of 8m.

Answer 1

Answer :

Two objects of masses 20kg and 50kg are placed at distance 8m.

We have to find the gravitational force between them$.$

_________________________________

◈ As per newton's law of gravitation, force acts between two point masses is directly proportional to the product of their masses and inversely proportional to the square of distance between them.

፨ F ∝ m₁m₂ / r²

፨ F = G × m₁m₂ / r²

Where G denotes gravitational constant.

⇒ F = (6.67×10ˉ¹¹) × (20×50)/8²

⇒ F = 66.7 × 10ˉ¹¹ × 10² / 64

⇒ F = 1.04 × 10$^{-9}$N

Answer 2

Given ,

The two objects of masses 20 kg and 50 kg are separated by distance 8 m

We know that , the gravitational force between two objects is given by

$\boxed{ \tt{F = G\frac{ m_{1} m_{2} }{ {(r)}^{2} } }}$

Thus ,

$\tt \mapsto F = \frac{6.67 \times {(10)}^{ - 11} \times 20 \times 50 }{ {(8)}^{2} }$

$\tt \mapsto F = \frac{6.67 \times {(10)}^{ -8} }{64}$

$\tt \mapsto F = 1.04 \times {(10)}^{ - 9} \: \: newton$