Question

The figure below show three masses m1=1.1 kg, m2=2.8 kg, and m3=4.3 kg which undergo two successive collisions. The first collision between m1, which has an initial velocity v=8.2 m/s, and m2 (which is initially at rest) is completely inelastic. The second collision between the combined mass m1+m2 and m3 (which is initially at rest) is elastic. What is the velocity of m3 after the second collision?

The figure below show three masses m1=1.1 kg, m2=2.8 kg, and m3=4.3 kg which undergo two successive collisions. The first collision between m1, which has an initial velocity v=8.2 m/s, and m2 (which is initially at rest) is completely inelastic. The second collision between the combined mass m1+m2 and m3 (which is initially at rest) is elastic. What is the velocity of m3 after the second collision? V 1 2 3

Answer 1

V. Vo=8.2mls The wellne Rulliul →V 'Momentum Conservation mivo el m, tm₂) Vi - 1.188.2 V Aue up the V 1 1.1 X 8.2 Ft 2.8 = 2.31 an's V=2.31 mis mitm/ tim, Encue » V momen entum Consewation (mitm). MzY₂ + m +M2] V, 4.3₂+ (1.1+2.8) 1-7X8.2 4.3 + 3.9 V 9.02 -0

m = 1.1 kg M₂=2.8 kg , M₂- 4.3% Velocity of opproach - Velocity of Separati 2.31 - - Vi V - V - 2.31 AD multiply equation © by 3.9 and adding with 4.39, +3.91,1= 9.02 3.912 - 3-9 Vi 2.3143.9 8.2 % = 9.027 9.009 18.029 8.2 V₂ - 2.198 V ~ 2.2 mis Answer