Question

S
1. Two cars collide while going in the same direction. Car A has a
mass of 1000 kg, velocity 5 m/s whereas car B has a mass of 2000
kg and velocity 2 m/s. After collision, car A continues to move at
3 m/s, then what is the speed of car B after the collision (Multiple
choice)
5m/s
hi
3.5m/s
3m/s
BI
9m/s​

Answer 1

Solution :-

Car A

• Mass(Ma) = 1000 kg

• Velocity(Va ) = 5 m /s

Momentum of Car A ,

⟹ Pa = Ma x Va

⟹ Pa = 1000 x 5

⟹ Pa = 5000 kg m/s

Car B :-

• Mass(Mb ) = 2000 kg

• Velocity(Vb ) = 2 m/s

Momentum of Car B ,

⟹ Pb = Mb x Vb

⟹ Pb = 2000 x 2

⟹ Pb = 4000 kg m/s

Now let's find the initial momentum of the car ,

⟹ Pi = Pa + Pb

⟹ Pi = 5000 + 4000

⟹ Pi = 9000 kg m/s

After collision ,

Car A

• Mass(Ma) = 1000 kg

• Velocity(Va ) = 3 m /s

Momentum of Car A ,

⟹ Pa '= Ma x Va'

⟹ Pa '= 1000 x 3

⟹ Pa' = 3000 kg m/s

Car B :-

• Mass = 2000 kg

• Velocity = ??

As no external force is acting upon the system the total momentum of the system will be conserved

By applying law of conservation of momentum ,

⟹ Pi = Pf

⟹ Pi = Pa' + Pb'

⟹ 9000 = 3000 + Mb x Vb '

⟹ 9000 = 3000 + 2000 x Vb '

⟹ 2000Vb = 6000

⟹ Vb = 3 m /s

∴The speed of the car B after collision is 3 m/s

 

Answer 2

Answer:

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