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A uniform light spring has un stretched length of 3.0 m. One of its end is fixed to a wall. A particle of mass m = 20 g is glued to the spring at a point 1.0 m away from its fixed end. The free end of the spring is pulled away from the wall at a constant speed of 5 cm/s. Assume that the spring remains horizontal (i.e., neglect gravity). Force constant of spring = 0.6 N/ cm. With what speed does the particle of mass m move?

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$\frac{1}{3} m / s$

$\frac{5}{3} m / s$

$\frac{2}{3} m / s$

$\frac{5}{2} m / s$

answer is C.

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Detailed Solution

Displacement (and hence speed) of each point on the spring will be proportional to its distance from the wall.
$∴$ Speed of the particle. $V = 5 \times \frac{1}{3} = \frac{5}{3} cm / s$

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