A body B moving with a velocity of 20m/s collides with another body A, moving in the same direction on same horizontal line, with a velocity of 10m/s. If the mass of a body A is three times the mass of a body B, and the

collision is perfectly elastic.
calculate the velocities of A and B after collision and calculate the impulse on A and B

5 answers

M1 = 3M, V1 = 20 m/s.
M2 = M, V2 = 10 m/s.

M1*V1 + M2*V2 = M1*V3+M2*V4.
3M*20+M*10 = 3M*V3+M*V4.
Divide both sides by M:
60+10 = 3V3+V4,
Eq1: 3V3+V4 = 70.

V3 = ((M1-M2)V1 + 2M2*V2)/(M1+M2).
V3 = (2M*20 + 2M*10)/4M = 60M/4M = 15 m/s. = Velocity of M1(B).
In Eq1, replace V3 with 15 and solve for V4.
I want the answer
calculate A and B after the collision
calculate A and B after the collision
in 2021
I want answer