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AP EAMCET · PHYSICS · Gravitation

The gravitational field in a region is given by \(\mathbf{I}=(5 \hat{\mathbf{i}}+12 \hat{\mathbf{j}}) \mathrm{Nkg}^{-1}\). The change in the gravitational potential energy of an object of mass \(3 \mathrm{~kg}\) when it is taken from the origin to a point \((8 \mathrm{~m},-2 \mathrm{~m})\) is

  1. A \(1 \mathrm{~J}\)
  2. B \(16 \mathrm{~J}\)
  3. C \(48 \mathrm{~J}\)
  4. D \(3 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(48 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Given, gravitational field intensity, \(\mathbf{I}=(5 \hat{\mathbf{i}}+12 \hat{\mathbf{j}}) \mathrm{Nkg}^{-1}\) Mass of object, \(m=3 \mathrm{~kg}\) We know that, change in potential energy from to \(P(8 m,-2 m)\) is given by…