Question

A person brings a mass of 1 kg from infinity to a point A. Initially, the mass was at rest but it moves
at a speed of 2 $m s^{- 1}$ as it reached at A. The work done by the person on the mass is $-$ 3 J . The
potential at A is

Moderate

Solution

$W = E_{A} - E_{\infty} = (U_{A} + K_{A}) - (U_{\infty} + K_{\infty})$
$∴ - 3 = [(1) V_{A} + \frac{1}{2} \times (1) (2)^{2}] - (0 + 0) (∵ W = - 3 J)$
$∴ V_{A} = - 5 J {kg}^{- 1}$

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