Question

Question #4b2cc

Answer 1

Yes.

Explanation:

Mass directly influences weight.

The weight of a stationary object at or near the surface of the earth is equal to the magnitude of the force of gravity acting upon it, where `F_g=mg`.

A basic force diagram for a stationary object at rest on a surface with no outside forces present:

where `vecn` is the normal force

The normal force is the force exerted by a surface on the object which presses down on the surface. For example, when you stand on a scale, it measures your weight by measuring the normal force—the force exerted upwards by the scale on you to support your weight, which is equal in magnitude to the force you exert downwards on the scale (due to gravity).

You can see that the normal force is equal and opposite to the force of gravity in this situation, yielding a net force statement of:

`sumvecF=vecF_(n e t)=vecn-vecF_g=vec0`

`=>vecn=vecF_g=mg`

For the weight of an object which is accelerating, the net force is no longer zero.

`vecn-vecF_g=mveca`

And therefore (returning to magnitudes):

`n=ma+F_g`

`=>n=ma+mg`

`=>:.color(darkblue)(n=m(a+g))`

In both cases, we see that the mass of an object is directly related to its weight.