Question

the mass of the earth is 6×10²⁴ kg and the it's radius is 6400 km . what is the mass of a man weighing 977 N in spring balance ? { G= 6.67×10-¹¹ } ​

Answer 1

Mass of the man = 100 kg

Step-by-step explanation:

Given that,

Mass of the Earth, M = 6×10²⁴ kg

The radius of the Earth, r = 6400 km

Force on man, F = 977 N

We need to find the mass of the man. Let the mass of the man be m. The gravitational force acting between two objects is given by :

`F=G(mM)/(r^2)\\\\m=(Fr^2)/(GM)\\\\m=(977* (6400* 10^3)^2)/(6.67* 10^(-11)* 6* 10^(24))\\\\m=99.99\ kg`

or

m = 100 kg

So, the mass of the man is 100 kg.