Question

2 bodies of masses 2 kg, 3 kg are moving with velocity 4m/s and 2m/s respectively in same direction colloid. After collision velocity of 2kg body is 1m/s in opposite direction find the final velocity of 3 kg block​

Answer 1

,

refer to the attachment

Answer 2

Answer:

Solution

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Correct option is

A

both particles move together with velocity (2/3) m/s

B

the momentum of system is 2 kg m/s throughtout

D

the loss of KE of system is (49/3) J

Given : m

1

=2kg m

2

=1kg u

1

=3 m/s u

2

=4 m/s

Let the common velocity of the combined body be V

Mass of combined body M=2+1=3kg

Applying conservation of momentum :

2×3−1×4=3×V ⟹V=

3

2

m/s

Momentum of the system P=2×3−1×4=2 kg m/s

Loss in kinetic energy of the system due to collision ΔK.E=K.E

i

−K.E

f

ΔK.E=

2

1

(2)×3

2

+

2

1

(1)×4

2

−

2

1

(3)×(

3

2

)

2

⟹ΔK.E=

3

49

J