Question

According to Newton’s second law of motion,how much force will be required to accelerate an object at the same rate if it mass is reduced by half ?

Answer 1

According to Newton's second law of motion,

`\text{Force = mass}* acceleration`

Let the initial force be F, acceleration be a and the initial mass be m.

The acceleration is the same but now the mass is reduced by half.

So, the force will be

`\begin{gathered} F^(\prime)=(m)/(2)* a \\ =(F)/(2) \end{gathered}`

Thus, the force will also be half of the initial force if the mass is reduced by half.