Question

Calculate the gravitational force of attraction
between two bodies of masses 40 kg and 80 kg
separated by a distance 15 m.
19
Take G = 6:7 x 10-11 N m² kg-2.
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Answer 1

Answer :

Two bodies of masses 40kg and 80kg are separated by a distance of 15m.

We have to find gravitational force between two bodies$.$

★ The magnitude of gravitational force between two point masses is directly proportional to the product of masses and inversely proportional to the square of the distance between them.

This is known as newton's law of gravitation.

• F = Gm₁m₂/r²

Where G denotes gravitational constant

By substituting the given values, we get

$\leadsto\sf\:F=\dfrac{Gm_1m_2}{r^2}$

$\leadsto\sf\:F=\dfrac{(6.67\times 10^{-11})(40)(80)}{(15)^2}$

$\leadsto\sf\:F=\dfrac{21344\times 10^{-11}}{225}$

$\leadsto\:\boxed{\bf{F=9.48\times 10^{-10}\:N}}$