Question

A planet has a mass of 5.68 x 1026 kg and a radius of 6.03 x 107 m. What is the weight of a 65.0 kg person on the surface of this planet?
a.
636 N
c.
475 N
b.
678 N
d.
656 N

Answer 1

To solve this problem, we must know the gravitational force of the planet. The equation would be,

 $F=G \frac{ m_{1} m_{2} }{ r^{2} }$

This would calculate the force between two objects with masses m1 and m2 and the gravitational constant, G, is 6.67 x 10^-11 m3 s-2 kg-1 and with r as the distance between the objects.

Thus,

F = (6.67 x 10^-11 m3 s-2 kg-1) * (5.68 x 10^26 kg) * (65 kg) * ((1/6.03 x 10^7 m)^2)

F = 678 kg/s^2 or 678 N

Answer is letter B.