Which statement about the acceleration of an object is correct?
a.
The acceleration of an object is directly proportional to the net external force acting on the object and inversely proportional to the mass of the object.
b.
The acceleration of an object is directly proportional to the net external force acting on the object and directly proportional to the mass of the object.
c.
The acceleration of an object is inversely proportional to the net external force acting on the object and inversely proportional to the mass of the object.
d.
The acceleration of an object is inversely proportional to the net external force acting on the object and directly proportional to the mass of the object.

Please select the best answer from the choices provided

A

A. The acceleration of an object is directly proportional to the net external force acting on the object and inversely proportional to the mass of the object.

Explanation:

Acceleration can be calculated using newton's second law, which tells us that the sum of the forces acting on a body is equal to the product of mass by the acceleration of the body.

In mathematical terms this is equal to:

F = m*a

Where:

F  = force [N]

m = mass [kg]

a = acceleration = [m/s^2]

therefore

a = F/m

Clearing the acceleration we can see that the mass is left in the denominator.

When a physical variable is left in the denominator of an equation, we say that it is inversely proportional to the variable being cleared.

We have that the mass is inversely proportional to the acceleration of an object.

Answer a. is the only one that mentions this kind of relationship

i guess it’s a and b