Question

Three spheres are dropped from a height of 100 meters in a vacuum. The data from the results is shown below.

Object Mass (kg) Acceleration (m/s)
1.00
9.81
22.00
9.81
5.00
9.81
Force (N)
9.81
19,6
49.1
3
Which of the following relationships is true?
A
For each additional kilogram of mass, the force of the sphere doubles.
The force of the spheres decrease as the mass of the spheres increase
The acceleration of the spheres is constant, even when the mass and force change.
The mass and force of the spheres will remain constant if their acceleration is constant

Answer 1

The acceleration of the spheres is constant, even when the mass and force change.

Step-by-step explanation:

The acceleration is defined as the rate of change of velocity of an object with time. The dimensional formula of acceleration is given by
`a = LT^(-2).`

Here its clear that acceleration of a body doesn't depend on the mass of the body.

But the force is given by the expression F =ma where m is the mass and a is the acceleration. So the dimensional formula of force will be
`F = MLT^(-2).`

Thus with the change in mass of the body, the body will feel increased force due to acceleration due to gravity.