The gravitational field in a region is given by equation $\to E = (5^i + 12^j) N / k g$ . If the particle of mass $2 k g$ is moved from the origin to the point $(12 m, 5 m)$ in this region, the change in gravitational potential energy is:

- 225 J

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- 240 J

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- 245 J

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- 250 J

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Solution

The correct option is A $- 240 J$
Work done in moving the particle in x-axis= $\int m E_{x} d x$
$= - 2 k g \times 5 N / k g \times 12 m$
$= - 120 J$
Similarly work done in moving the particle in y-axis= $\int m E_{y} d y$
$= - 2 k g \times 12 N / k g \times 5 m$
$= - 120 J$
Hence total change in gravitational potential energy = $- 240 J$
Hence correct answer is option B.

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