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Physics-

General

Easy

Question

A solid ball of mass m is allowed to fall from a height h to a pan suspended with a spring of spring constant k. Assume the ball does not rebound and pan is massless, then amplitude of the oscillation is.

$\frac{m g}{k}$
$\frac{m g}{k} + {(\frac{2 h k}{m g})}^{1 / 2}$
$m g \sqrt{1 + \frac{1 + 2 h k}{m g}}$
$\frac{m g}{k} [1 + \sqrt{1 + \frac{2 h k}{m g}}]$

The correct answer is: $fraction numerator m g over denominator k end fraction open square brackets 1 plus square root of 1 plus fraction numerator 2 h k over denominator m g end fraction end root close square brackets$

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