Question

1. When these two freight cars of different mass collide and couple, what will be their resultant
velocity?
10 Tons 30 Tons
4 m/s , ( CAR -A)
O m/s ( CAR - B)
Before
? m/s
After​

Answer 1

Answer:

answer is 1m/s if car A mass 10 ton.

Answer 2

Given,

• Two freight cars of mass 10 tons and 30 tons

• Speed of car A = 4m/s

To find,

The velocity of the cars after a collision if they couple.

Solution,

The collision will take place between both cars. After the collision, both cars will stick to each other and travel with a common velocity. We also know that the collision is inelastic.

We can apply the concept of conservation of momentum.

Momentum before collision = momentum after collision. ---- eq(1)

Combined mass after collision = 10 tons + 30 tons = 40 tons

Momentum before collision = $m_{A}v_{A} + m_{B}v_{B}$

                                              = 10000kg*4m/s + 30000kg*0m/s

                                              = 40000kgm/s

Velocity of the combined masses be v.

Substituting in the equation 1 we have,

                       40000kgm/s = 40000kg*v

                          v = 1m/s

Therefore, the speed of combined masses after the collision will be 1m/s.