Question

in a closed system, three objects have the following momentums: 110 kg·m/s, −65 kg·m/s, and −100 kg·m/s. the objects collide and move together. what is the total momentum after the collision? (1 point) ○ −55 kg·m/s ○ −275 kg·m/s ○ 55 kg·m/s ○ 275 kg·m/s

Explanation:

Step1: Recall conservation of momentum

In a closed system, total momentum is conserved, so total momentum after collision equals total momentum before collision. We sum the initial momenta.

Step2: Sum the momenta

The initial momenta are \(110\ \text{kg·m/s}\), \(-65\ \text{kg·m/s}\), and \(-100\ \text{kg·m/s}\).
Sum: \(110 + (-65) + (-100) = 110 - 65 - 100\).
Calculate: \(110 - 65 = 45\); \(45 - 100 = -55\).

Answer:

\(-55\ \text{kg·m/s}\) (corresponding to the option: \(-55\ \text{kg·m/s}\))