Calculate the final velocities of the two masses, Mechanical Engineering

Calculate the final velocities of the two masses:

A mass of 10 kg moving along with a velocity of 10 m/sec along x direction follows another mass of 4 kg moving with 5 m/sec in the similar direction. Calculate the final velocities of the two masses if e = 0.6.

Solution

Velocity of approach = 10 - 5 = 5 m / sec

∴ Velocity of separation = V2′ - V1′ = 5 × e = 3 m / sec

Using principle of conservation of momentum

m1 V1′ + m2  V2′ = m1 V1  + m2  V2                               ---------(A)

10 V1′ + 4 V2′ = 100 + 20 = 120                        --------- (B)

 Solving out Eqs. (A) and (B)

10 V1′ + 4 (3 + V1′) = 120

14 V1′ = 108

or,

V1′ = 7.71 m / sec

V1  = 10 m / sec

∴ V2′ = 3 + V1′ = 10.71 m / sec .

While       V2  = 5 m / sec

Posted Date: 1/29/2013 7:23:19 AM | Location : United States







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