Answer:
F = 683.8 N
Explanation:
The gravitational force of attraction between the Earth and the student is given by Newton's Law of Gravitation as follows:
[tex]F = \frac{Gm_{1}m_{2}}{r^2}[/tex]
where,
F = Force = ?
G = Universal gravitational constant = 6.67 x 10⁻¹¹ Nm²/kg²
m₁ = mass of Earth = 5.98 x 10²⁴ kg
m₂ = mass of student = 70 kg
r = distance between Earth and student = 6.39 x 10⁶ m
Therefore,
[tex]F = \frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^1)(5.98\ x\ 10^{24}\ kg)(70\ kg)}{(6.39\ x\ 10^6\ m)^2}\\[/tex]
F = 683.8 N