As shown in the figure below, cars #1 and #2 are sliding across a horizontal fri

Question

As shown in the figure below, cars #1 and #2 are sliding across a horizontal frictionless surface. The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #1 overtakes car #2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m_1 = 18.0 kg and m_2 = 46.0 kg. In addition, you are provided with the following graph, which shows the momentum of car =1 before, during and after the collision. Determine the velocity of car #2 before the collision.

Explanation / Answer

step;1

Given that

mass m1=18 kg

mass m2=46 kg

initial velocity u1=100 m/s

finial velocity V=40 m/s

now we find the initial velocity of car2 before collision

basing on the conservation of the momentum

m1u1+m2u2=(m1+m2)V

18*100+46*u2=(18+46)*40

1800+46u2=2560

46u2=760

u2=16.5 m/s

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