Question

Calculate the weight of the man using the formula for weight. What is the relationship between the gravitational force and the weight of the man?

Answer 1

Given:

• Mass of man, m1 = 70 kg

,

• Mass of Earth, m2 = 5.98 x 10²⁴ kg

,

• Distance, d = 6.38 x 10⁶ m

Let's write an equation to find the relationship between the gravitational force and the weight of the man.

Let's first find the weight of the man.

`W=m* g`

Where:

m is the mass = 70 kg.

g is the acceleration due to gravity = 9.81 m/s²

W is the weight.

Thus, we have:

`\begin{gathered} W=70*9.8 \\ \\ W=686\text{ N} \end{gathered}`

The weight of the man is 686 N.

Also from the calculations given the gravitational force between the man and the Earth is 686 N.

Therefore, the gravitational force and the weight of the man are equal.