Question

Calculate the force of attraction between two balls each of mass 1 kg. When their centres are 10 cm apart . (G=6.67×10 raise to the power -11 Nm2 Kg2)

Answer 1

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Answer 2

The Force of attraction between the two balls is 6.67 × 10⁻⁹ N

Given

Number of balls = 2

Mass of each ball = 1kg

Distance between the centers of each ball = 10cm = 10⁻¹ m

G = 6.67 × 10⁻¹¹ Nm² Kg²

To Find

The force of attraction between the two balls

Solution

According to Newton's Universal Law of Gravitation, the force between two objects can be calculated as $F=\frac{Gm1m2}{r^{2}}$ where

$G$ is the Gravitational Constant = 6.67 × 10⁻¹¹ Nm² Kg²

$m1$ is the mass of the first object in kg = 1kg

$m2$ is the mass of the second object  in kg = 1kg

$r$ is the distance between the two objects in meters = 10⁻¹ m

Substituting the values in the formula, we get the Force as

$F=$ (6.67 × 10⁻¹¹ × 1 × 1) ÷ (10⁻¹)²

   = 6.67 × 10⁻¹¹ ÷ 10⁻²

   = 6.67 × 10⁻⁹ N

Hence, the Force of attraction between the two balls is 6.67 × 10⁻⁹ N