College

Ethan and Coach are running toward each other at a speed of \(\frac{1}{5}\) m/s. Coach's mass is approximately 150 kg. Combined, their mass is 245 kg. They crash into each other, and Ethan bounces back at a speed of 0.2 m/s. What is the final velocity of Coach?

Answer :

The final velocity of the Coach can be determined using conservation of momentum. Before the collision, the combined mass of Ethan and Coach is 245 kg, and their initial velocity is 1/5 m/s. After the collision, Ethan bounces back at a speed of 0.2 m/s.

The final velocity of the Coach can be determined using conservation of momentum.

Before the collision, the combined mass of Ethan and Coach is 245 kg, and their initial velocity is 1/5 m/s.

After the collision, Ethan bounces back at a speed of 0.2 m/s. We can use the equation:

Initial momentum = Final momentum

(245 kg)(1/5 m/s) = (245 kg + 150 kg) * vf

vf = (245 kg)(1/5 m/s) / (245 kg + 150 kg)

vf ≈ 0.124 m/s