In a closed system, three objects have the following momentums: 110 kg x m/s, -65 kg x m/s, and -100 kg x m/s. The objects collide and move together. What is the total momentum after the collision?

Question

A. 55 kg x m/s
B. -275 kg x m/s
C. 275 kg x m/s
D. -55 kg x m/s

Answer 1

To find the total momentum after the collision, we must sum up the momentums of all three objects.

The total momentum = 110 kg x m/s + (-65 kg x m/s) + (-100 kg x m/s)
= 110 kg x m/s - 65 kg x m/s - 100 kg x m/s

Simplifying, we get:

= (110 kg x m/s) + (-(65 kg x m/s) + (-(100 kg x m/s))
= 110 kg x m/s - 65 kg x m/s - 100 kg x m/s
= (110 kg x m/s) - (65 kg x m/s) - (100 kg x m/s)
= 110 kg x m/s - 165 kg x m/s - 100 kg x m/s
= -55 kg x m/s

Therefore, the total momentum after the collision is -55 kg x m/s.

So, the correct answer choice is D. -55 kg x m/s.