Question

Earth has a large mass. If you have a mass of 100 pounds (convert to kilograms) - what is the gravitational force that you exert on earth? (the acceleration due to earth’s gravity is 9.8m/s^2 ). Show your calculation and explain- what would be the gravitational force that Earth exerts on you? Explain

Answer 1

Given:

Weight = 1000 pounds

Let's solve for the following:

• (a). wWhat is the gravitational force that you exert on earth?

Let's first convert the mass from pounds to kilogram.

Where:

1 pound =0.453592

We have:

`1000*0.453592=453.6kg`

Therefore, the mass is 453.6 kg

According to Newton's third law, for every action there is an equal and opposite reaction.

Now, let's find the weight of the body:

`w=m* g`

Where:

w is the weight

m is the mass

g is acceleration due to gravity = 9.8 m/s²

Thus, we have:

`w=453.6*9.8=4445.28\text{ N}`

The weight of the body is 4445.28

The gravitational force that the Earth exerts on you will also be the weight of your body.

Therefore, the gravitational force the Earth exerts on you is 4445.28 N.

According to Newton's third law the gravitational force that you exert on the earth is -4445.28 N.

ANSWER:

• (a). -4445.28 N

• (b). 4445.28 N