Question

Ball 1, with a mass of 130 g and traveling at 10.0 m/s , collides head on with ball 2, which has a mass of 350 g and is initially at rest. What are the final velocities of each ball if the collision is perfectly elastic? (vfx)1 (vfx)2

Answer 1

Mass(m1) of the first ball = 130 g or 0.130 kg

Initial velocity (v1) of the first ball= 10 m/s

Mass(m2) of the second ball = 350 g or 0.350 kg

Initial velocity(v2) of the second ball= 0 (initially at rest)

(V(_fx)1 and (V_fx)2 are the velocities of the 2 after the collision

If elastic then the formulas would be the following:

V(_fx)1 = 2m₂v₂/m₁+m₂ + (m₁-m₂/m₁+m₂)v₁

V(_fx)2 = 2m₁v₁/m₁+m₂ + (m₁-m₂/m₁+m₂)v₂

V(_fx)1:

2(0.350 x 0) /(0.130 + 0.350) + (0.130 - 0.350)/ (0.130 + 0.350) x (10)

0 + (-0.22/0.48) x 10

V(_fx)1= -4.5833 m/s

V(_fx)2:

2(0.130 x 10)/(0.130 + 0.350) + (0.130 - 0.350/ (0.130 + 0.350) x (0)

2(1.3)/0.48

V(_fx)2 = 5.42 m/s