First slide

Concept of potential energy

Question

The force constant of a weightless spring is 16 N/m. A body of mass 1.0 kg suspended from it is pulled down through 5 cm and then released. The maximum kinetic energy of the system (spring + body) will be

Moderate

A

$2 \times 10^{- 2} J$
B

$4 \times 10^{- 2} J$
C

$8 \times 10^{- 2} J$
D

$16 \times 10^{- 2} J$

Solution

Max. K.E. of the system = Max. P.E. of the system
$\frac{1}{2} {kx}^{2} = \frac{1}{2} \times (16) \times {(5 \times 10^{- 2})}^{2} = 2 \times 10^{- 2} J$

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