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Two blocks of masses 3kg and 6kg respect...

Two blocks of masses `3kg` and `6kg` respectivley are placed on a smooth horizontal surface. They are connected by a light spring of force constant `k=200N//m`. Initially the spring is unstretched. The indicated velocities are imparted to the blocks. Find the maximum extension of the spring.

Text Solution

Verified by Experts

The correct Answer is:
C
At maximum extension their velocities are same.
This common velocity is given by
`v=("Total momentum")/("Total mass")`
`=(2xx6-1xx3)/(3+6)=1m//s`
Now, `E_i=E_f`
`:. 1/2xx6xx(2)^2+1/2xx3xx(1)^2=1/2xx9(1)^2+1/2xx200xxx_m^2`
Solving we get, `x_m=0.3m`
`=30cm`
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Knowledge Check

  • Two blocks A(3 kg) and B(2 kg) resting on a smooth horizontal surface is connected by a spring of stiffness 480N//m . Initially the spring is underformed and a velocity of 2 m//s is imparted to A along the line of the spring away from B. The maximum extension in meters of the spring during subsequent motion is :-

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