Question

A force of 15 newtons is applied to both Object A with a mass of 25 kilograms and Object B with a mass of 50 kilograms. What is true about the
acceleration of Object A and Object B?

Answer 1

Answer:

Acceleration of Object A = 0.6 m/s²

Acceleration of Object B = 0.3 m/s²

Acceleration of Object A is double than the acceleration of Object B.

Explanation:

According to the Newton's 2nd law of motion, Acceleration of an object by a net force is directly proportional to the magnitude of that net force and in the direction of that net force and inversely proportional to the mass of the object

Mathematically

                   F ∝ a

                   F = ma

Given data:

                 F = 15 N

                 m₁ = 25 kg

                 m₂ = 50 kg

                 F = m₁a₁

                 a₁ = F/m₁

                 a₁ = 15/25

                 a₁ = 0.6 m/s²

               

                 F = m₂a₂

                 a₂ = F/m₂

                 a₂ = 15/50

                 a₂ = 0.3 m/s²

It can be seen that acceleration of Object A is double than the acceleration of Object B.