Explained: "If you and a friend 10 m away..."

Carsen Patel

Open question

2022-08-18

If you and a friend 10 m away each have masses of 70 kg, how much gravitational force are you exerting on your friend?

Riya Cline

Beginner2022-08-19Added 17 answers

The Gravitational Force between two masses

m_{1}

and

m_{2}

separated by a distance "r" is given by the formula;

F_{G} = G \frac{m_{1} m_{2}}{r^{2}} N e w t o n s

where, "G" is the Universal Gravitational Constant

G = 6.67 \times 10^{- 11} \frac{N \cdot m^{2}}{k g^{2}}

Since only mass of only one person is given in the question i.e.

m_{1} = 70 K g

we assume

m_{2} = 65 K g

and r = 10 m
Therefore, the Gravitational force between you and your friend will be;

F_{G} = 6.674 \times 10^{- 11} (\frac{70 \times 65}{10^{2}}) = 6.674 \times 10^{- 11} (\frac{4550}{100}) = 6.674 \times 4550 \times 10^{- 9} = 30366.7 \times 10^{- 9} = 3.03 \times 10^{- 5} N e w t o n s

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