$A$ block of mass $m$ moving with a velocity $v_0$ on a smooth horizontal surface strikes and compresses a spring of stiffness $k$ till mass comes to rest as shown in the figure. This phenomenon is observed by two observers:

$A$: standing on the horizontal surface

$B$: standing on the block 

According to observer $B$, the potential energy of the spring increases

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  • A

    due to the positive work done by pseudo force

  • B

    due to the positive work done by normal reaction between spring  wall

  • C

    due to the decrease in the kinetic energy of the block

  • D

    all the above  

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Inside a lift, a spring (Force constant $k = 1000\ N/m$) and block ($mass = 1\  kg$) are both in a state of rest. Now the lift suddenly starts moving upwards with acceleration $a = g$. Find the maximum total compression in the spring in centimeter. ($g =10\ m/s^2$) :-

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  • [AIEEE 2005]

When a spring is stretched by $2\, cm$, it stores $100 \,J$ of energy. If it is stretched further by $2 \,cm$, the stored energy will be increased by ............. $\mathrm{J}$