Question

What is the relationship between force and acceleration if the mass of the object is constant?

Answer 1

Explanation:

Newton's second law of motion states that acceleration is directly proportional to net force when mass is constant… and that acceleration is inversely proportional to mass when net force is constant… and that net force is directly proportional to mass when acceleration is constant…

Answer 2

Relation between force and acceleration when mass is constant.

• Force is defined as the rate of change of momentum.

Using CALCULUS, we can say:

$F = \dfrac{dP}{dt}$

$\implies F = \dfrac{d(mv)}{dt}$

• Since mass (m) is constant, we can say:

$\implies F = m \times \dfrac{d(v)}{dt}$

$\implies F = m \times a$

$\implies F \propto a$

So, force is directly proportional to acceleration when mass is constant.