Question

Suppose that a constant force is applied to an object. newton's second law of motion states that the acceleration of the object varies inversely with its mass. a certain force acting upon an object with mass 9 kg produces an acceleration of 5 /ms2 . if the same force acts upon another object whose mass is 15 kg , what would this object's acceleration be?

Answer 1

First object:
mass = 9 kg
acceleration = 5 m/s²
Force, F₁ = (9 kg)*(5 m/s²) = 45 N

Second object:
mass  = 15 kg
Force = 45 N (same force)
Let a =  the acceleration.

Then
(15 kg)*(a m/s²) = (45 N)
a = 45/15 = 3 m/s²

Answer: 3 m/s²