Two children of different masses are sitting on identical swings. To impart identical initial acceleration, for which child would you require to apply a larger force? Explain why? [Pg. No. 106]

To impart identical initial acceleration, a larger force must be applied to the child having the greater mass.

According to Newton's second law:

$$F = ma$$

For the same acceleration $a$, force is directly proportional to mass $m$. Therefore, the heavier child requires a larger force to produce the same acceleration.