select the correct answer.\nin a certain collision we want to increase the force while keeping the magnitude…

select the correct answer.\nin a certain collision we want to increase the force while keeping the magnitude of impulse the same. what can be done to achieve this objective?\na. decrease the time of impact.\nb. increase the time of impact.\nc. decrease the magnitude of change in momentum.\nd. increase the magnitude of change in momentum.\ne. decrease the mass of the object.
Answer
Brief Explanations:
The impulse - momentum theorem states that impulse $J = F\Delta t=\Delta p$, where $F$ is the force, $\Delta t$ is the time of impact, and $\Delta p$ is the change in momentum. Given that $J$ is constant. If we want to increase $F$, from $J = F\Delta t$, we must decrease $\Delta t$ since $J$ is fixed. Changing the mass of the object does not directly affect the relationship between force, time, and impulse when the impulse is held constant. Also, decreasing or increasing the magnitude of change in momentum would change the impulse, which is not allowed as per the problem.
Answer:
A. Decrease the time of impact.