Question

pre - and post - collision information is shown. identify the collision parameters that are consistent with the indicated change in momentum.
initial state → collision parameters → final state
p = 8 kg·m/s 5 kg → p = 18 kg·m/s 5 kg
tap an option below to select or change an answer. (a + sign indicates a rightward direction; a - sign indicates a leftward direction)
impulse = +10 n·s impulse = +5 n·s impulse = +3.6 n·s impulse = +2.1 n·s impulse = +50 n·s

Explanation:

Step1: Recall impulse - momentum theorem

The impulse - momentum theorem states that the impulse $J$ is equal to the change in momentum $\Delta p$.

Step2: Calculate the change in momentum

The initial momentum $p_i = 8\ kg\cdot m/s$ and the final momentum $p_f=18\ kg\cdot m/s$. So, $\Delta p=p_f - p_i$.
$\Delta p=18 - 8=10\ kg\cdot m/s$. Since $1\ kg\cdot m/s = 1\ N\cdot s$, the impulse $J=\Delta p = 10\ N\cdot s$.

Answer:

Impulse = + 10 Ns