Question

A force F produces an acceleration 'a' in a body. The same force produces an acceleration 8a in another body. What is the mass of the body?

• A. eight times the mass of the first body
• B. mass does not play a role
• C. eight times less than the mass of the first body
• D. None of the above

Answer 1

The correct option is C

eight times less than the mass of the first body

According to the Newton’s Second Law of Motion, the change in momentum of a body per unit time is directly proportional to the unbalanced force acting on the body and the change in momentum takes place in the direction of the unbalanced force of the body. It can be represented as F = ma. From the equation we can see that mass is inversely proportional to acceleration so if the acceleration of the body increases by 8 times, the mass of the body will reduce by 8 times.