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The value ofthe gravitational field in a region is given by g = 2i + 3j. What is the change in gravitational potential energy of a particle of mass 5kg when it is taken from the origin O(0,0) to a point P(10, -5)? (Letters in bold are vectorial representations)(a) 5 J(b) 10 J(c) 25 J(d) 50 JThis question was addressed to me in semester exam.I need to ask this question from Gravitational Potential Energy topic in division Gravitation of Physics – Class 11

Answer»

Right option is (C) 25 J

Explanation: The gravitational potential energy, in vectorial mathematics, is the dot product of the gravitational field and relative position MULTIPLIED by mass.

Gravitational potential energy = (g . P) X m

 = [(2i + 3j) .(10I5J)] x 5

 = (20 – 15) x 5

 = 25 J.



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