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`)A. (a) `30cm`B. (b) `25cm`C. (c) `40cm`D. (d) `20cm`

A block of mass `2kg` is attached with a spring of spring constant `40

1.	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`)A. (a) `30cm`B. (b) `25cm`C. (c) `40cm`D. (d) `20cm`
Answer» Correct Answer - B Again using, `E_i=E_f` `:. 1/2xx2xx(2)^2+1/2xx4000xx(0.05)^2` `=1/2xx4000xxx^2` `:. x=0.067m=6.7m`=compression `:. d=5cm+6.7cm+6.7cm+6.7cm` `~~25cm`

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