Question

Two blocks of masses m = 2 kg and m = 8 kg are connected to a spring of force constant K I kN/m. The spring is compressed by 20 cm and the two blocks are held in this position by a string. The system is placed on a horizontal smooth surface and given a velocity u = 3 m/s perpendicular to the spring. The string snaps while moving. Find the speed of the block of mass m when the spring regains its natural length.

Answer 1

Answer:

At maximum extension of the spring, velocities of both blocks will be same

Conservation of momentum:

6*2.2 – 3*1.8 = (3+6)*V

V = 0.867 m/s

Conservation of energy:

1/2*3*1.8*1.8 + 1/2*6*2.2*2.2 = 1/2*(6+3)*0.867*0.867 + 1/2*512* X*X

X = 0.25 m = 25 cm

Answer 2

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