Two gliders moving from opposite directions collide on an air-track. The masses

Question

Two gliders moving from opposite directions collide on an air-track. The masses of the gliders are 0.30 kg and 0.70kg. Before the collision, the speeds of gliders are 0.30m/s and 0.45m/s, respectively. After the collision, the first glider rebounds with speed 0.40m/s. Assume the first glider is initially moving in a positive direction.

1. What is the momentum of the first glider before the collision?

2. What is the momentum of the second glider before the collision?

3. What is the total momentum of the system before the collision?

4. What is the momentum of the first glider after the collision?

Explanation / Answer

let

m1 = 0.3 kg, u1 = 0.3 m/s and v1 = -0.4 m/s

m2 = 0.7 kg, u2 = -0.45 m/s

1) P1i = m1*u1

= 0.3*0.3

= 0.09 kg.m/s

2)P2i = m2*u2

= 0.7*(-0.45)

= -0.315 kg.m/s

3) Pi = P1i + P2i

= 0.09 - 0.315

= -0.225 kg.m/s

4) P1f = m1*v1

= 0.3*(-0.4)

= -0.12 kg.m/s

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