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A block of mass 2kg is attached with a s...

A block of mass `2kg` is attached with a spring of spring constant `4000Nm^-1` and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by `5cm` from its natural position and the block is at rest. Now suddenly an impulse of `4kg-ms^-1` is given to the block towards the wall.
Find the velocity of the block when spring acquires its natural length

A

(a) `5ms^-1`

B

(b) `3ms^-1`

C

(c) `6ms^-1`

D

(d) None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`Impu lse=m u`
`:. u=("Impulse")/(m)=`4/2=2m//s`
Now, `E_i=E_f`
`:. 1/2xx2xx(2)^2+1/2xx4000xx(0.05)^2`
`=1/2xx2xxv^2`
Solving we get,
`v=3m//s`
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Knowledge Check

  • A block of mass 2kg is attached with a spring of spring constant 4000Nm^-1 and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by 5cm from its natural position and the block is at rest. Now suddenly an impulse of 4kg-ms^-1 is given to the block towards the wall. Approximate distance travelled by the block when it comes to rest for a second time (not including the initial one) will be (Take sqrt(45)=6.70 )

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