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Q.

A light spring of length 10 cm and force constant $2 \frac{N}{c m}$ is placed vertically on a table. A small block of mass $\frac{1}{2}$ kg falls on a it. The length h from the surface of the table at which block will have the maximum velocity is

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a

10 cm

b

7.5 cm

c

15 cm

d

5 cm

answer is A.

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Detailed Solution

$v_{M a x} \to \frac{d v}{d t} = 0 \Rightarrow a = 0 \Rightarrow$

system in equilibrium
$m g = K x$
$x = \frac{\frac{1}{2} \times 10}{2} = 2.5 c m$
$h = 10 - 2.5 = 7.5 c m$
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