First slide

Conservative force a negative gradient of potential energy

Question

The potential energy of a particle of mass 5 kg moving in the x-y plane is given by $U = (- 7 x + 24 y) J$ , x and y being measured in metre. If the particle starts from origin from rest, then the magnitude of the conservative force acting on the particle is:

Moderate

Solution

$\begin{array}{l} \vec{F} = - \frac{d U}{d x} \hat{i} - \frac{d U}{d y} \hat{j} = 7 \hat{i} - 24 \hat{j} \\ |\vec{F}| = 25 u n i t s \end{array}$

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