An object of mass M is accelerating because there is a force acting on it. What happens to the acceleration if I double the force?

Question

BlackTom AI · Accepted Answer

This question asks about how acceleration responds to doubling the applied force on a body of fixed mass.
Option 1: 'It goes up by a factor of 4' This would imply a ∝ F^2 relationship, which is not how Newton's second law works. Acceleration is proportional to force linearly when mass is constant.
Option 2: 'It stays the same' If the mass remained constant, increasing the force would change acceleration, so this is incorrect. Only at infinite mass or zero force would acceleration trivially be unchanged.
Option 3: 'It is halved' A decrease in force would reduce acceleration, but doubling the force increases it, so halving is the opposite scenario and incorrect here.
Option 4: 'It doubles' According to Newton's second law, a = F/m. With mass fixed, doubling F results in doubling a. This is the correct relationship, reflecting a direct, linear dependence on force.

ASTRON 2140 AU2025 (23428) Final - 2025 Dec 12

An object of mass M is accelerating because there is a force acting on it. What happens to the acceleration if I double the force?

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