Question

The acceleration due to gravity on the surface of planet x is 19. 6 meters per second squared. If an object on the surface of this planet weighs 980 newtons, the mass of the object is.

Answer 1

m = 50kg

Explanation:

First, you have to know that mass is an indicator of the amount of matter that makes up a body. Its unit in the International System is the kilogram (kg).

The mass of an object will always be the same, no matter where it is located.

On the other side, bodies are subjected to the action of forces, such as the force of gravity or electromagnetic forces.

So, weight is the action exerted by the force of gravity on the body. That is, weight is a measure of how much force gravity exerts on the mass of an object.

The weight of an object is measured in Newton (N) and will vary according to the force of gravity that acts on it.

The expression for the calculation of the weight is:

P= m×g

where:

P is the weight of a body.

• m is its mass.

• g is the gravity or acceleration with which bodies fall.

In this case, you know that:

P= 980 N

m= ?

g= 19.6
`(m)/(s^(2) )`

Replacing in the expression for the calculation of the weight:

980 N= m× 19.6
`(m)/(s^(2) )`

Solving:

`(980N)/(19.6(m)/(s^(2) ) )`

m=50 kg