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Question

The gravitational field in a region is given by the equation E with not stretchy rightwards arrow on top equals left parenthesis 5 i with not stretchy hat on top plus 12 j with not stretchy hat on top right parenthesis N divided by k g . If a particle of mass 2kg is moved from the origin to the point  (12m,5m) in this region, the change in the gravitational potential energy is

  1. -24J
  2. -20J
  3. -240J
  4. 40J 

The correct answer is: -240J


    d V equals negative E with not stretchy rightwards arrow on top times stack d r with rightwards arrow on top equals negative left parenthesis stack 5 i with rightwards arrow on top plus 12 j with not stretchy rightwards arrow on top right parenthesis times left parenthesis 12 i with not stretchy rightwards arrow on top plus stack 5 j with rightwards arrow on top right parenthesis equals negative left parenthesis 60 plus 60 right parenthesis equals negative 120

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