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The masses of two objects A and B are 20 kg and 40 kg
respectively. If the distance between their centers is 5 m,calculate the gravitational force produced between them


Sagot :

Explanation:

The gravitational force between two objects at distance r is given by,

[tex]F = G \frac{m_1 m_2}{ {r}^{2} } \\ [/tex]

Where G is gravitational Constant, and the value is approximately

[tex]G = 6.672 \times {10}^{ - 11} \frac{N {m}^{2} }{ {kg}^{2} } \\ [/tex]

Now lets calculate the force produced between object a 20 kg and object B 40 kg at a distance 5 m.

[tex]F = G \frac{m_1 m_2}{ {r}^{2} } \\ = (6.672 \times {10}^{ - 11}) \frac{(20 )(40)}{ {(5)}^{2} } \\ = \frac{(6.672 \times {10}^{ - 11})(800)}{25} = 2.13 \times {10}^{ - 9} N[/tex]