Question

two bodies of masses 1 kg and 2kg are moving parallel to a line in the same direction,at a velocity of 2m/s and 1 m/s respectively both the bodies collide with each other after collision,the velocity of the first body becomes 1.5m/s find the velocity of the second body after collision.​

Answer 1

Answer

Conservation of momentum

m

1

v

1

+m

2

v

2

=(m

1

+m

2

)v

1(1)−2(2)=−(3)v

−3=−3v

v=1 m/s

⇒ Loss in energy =Δk

2

−Δk

1

=

2

1

(m

1

+m

2

)v

2

−

2

1

m

1

v

1

2

−

2

1

m

2

v

2

2

=

2

1

×3×1−

2

1

×1×1−

2

1

×2×4

=

2

3

−

2

1

−4

⇒1.5−0.5−4

⇒1−4

ΔE=−3 J

∣ΔE∣=3 J