Question

calculate the force f gravitation due to a child of mass 25 kg and his mother of mass 75 kg if the distance between their centers is 1 m from each other

Answer 1

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Answer 2

The gravitational force between the child and the mother is 1.25 X 10 ⁻⁷N.

Given: Mass of the child (M₁) = 25kg

Mass of the child (M₂) = 75kg

Distance between their centers(R) = 1m

To Find: Gravitational force between them

Solution:

According to Newton's Universal Law of Gravitation,

Gravitational force is given as

F = G$\frac{M1M2}{r^{2} }$, where G is the universal gravitational constant, M1 and M2 are the masses of the two bodies, R is the separation between them.

The value of G is 6.67 x 10 ⁻¹¹ m³⋅kg⁻¹⋅s⁻².

F = 6.67 x 10 ⁻¹¹  x $\frac{(25)(75)}{1^{2} }$

  = 6.67 x 10 ⁻¹¹  x 25 x 75

  = 12506.25 x 10 ⁻¹¹ N.

  = 1.25 X 10 ⁻⁷N

Therefore, the gravitational force between the child and his mother is 1.25 X 10 ⁻⁷N.