Answer: 684 N
Explanation:
The force of gravity between two objects having mass is given by:
[tex]F=G\frac{Mm}{r^2}[/tex]
where, G is the gravitational constant, [tex]G= 6.673\times 10^{-11} Nm^2/kg^2[/tex], m is the mass of the man, [tex]m = 70 kg[/tex] and M is the mass of the Earth, [tex]M = 5.98 \times 10^{24} kg[/tex] and r is the distance between two masses, [tex]r = 6.39 \times 10^6 m[/tex]
[tex]\Rightarrow F = 6.673\times 10^{-11} Nm^2/kg^2\times \frac{5.98 \times 10^{24} kg \times 70 kg}{(6.39 \times 10^6 m)^2} = 684 N.[/tex]
Thus, the magnitude of the force of gravity acting on the mountaineer is 684 N.
