Q.

A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed v when the spring is at its natural length. Before coming to an instantaneous rest, if the block moves a distance x from the mean position, then

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a

x=m/k

b

m=1vm/k

c

x=vm/k

d

x=mv/k

answer is C.

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Detailed Solution

By using conservation of mechanical energy 12kx2=12mv2⇒x=vm/k
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A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed v when the spring is at its natural length. Before coming to an instantaneous rest, if the block moves a distance x from the mean position, then