Question

1. for how long should a force of 50 n be applied to change the momentum of an object by 12 kg·m/s?

a. 0.24 s
b. 4.15 s
c. 62 s
d. 600 s

Explanation:

Step1: Recall the impulse - momentum theorem

The impulse - momentum theorem states that \(J=\Delta p\), where \(J = F\times t\) (impulse \(J\), force \(F\), time \(t\)) and \(\Delta p\) is the change in momentum.

Step2: Solve for time \(t\)

We know \(F\times t=\Delta p\). Rearranging for \(t\), we get \(t=\frac{\Delta p}{F}\).
Substitute \(F = 50\space N\) and \(\Delta p=12\space kg\cdot m/s\) into the formula: \(t=\frac{12}{50}\)

$$t = 0.24\space s$$

Answer:

A. \(0.24\space s\)