Question

Two cars each of mass 3000 Kg and 1000 Kg are moving towards each other
at a velocity of 20 m/s and 30 m/s respectively. They collide with each
other and after collision stick to each other . What will be the final velocity
of the cars after collision?

Answer 1

Explanation:

refer to the given attachment

hence V= 0

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Answer 2

Given:

Two cars each of mass 3000 Kg and 1000 Kg

m1 =3000 Kg

m2= 1000 Kg

u1 =  20 m/s

u2 =  30 m/s

Total mass of the combined system, M = m1 + m2

M = 3000 + 1000

M = 4000kg

Let the velocity of the combined system after the collision be v

Applying conservation of momentum before and after the collision

here Mv = m1u1 - m2u2

4000 v= 3000 × 20 - 1000 × 30

4000 v =60000 - 30000

4000 v = 30000

$v=\frac{30000}{4000}$

$v=\frac{30}{4}$

v = 7.5 m/s

Hence the final velocity is 7.5 m/s