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Three identical particles of mass m are present at the corner of equilateral triangle of side a ,than find out work done(gravitational potential energy) in increasing side of the triangle from a to 2a.

Three identical particles of mass m are present at the corner of equilateral triangle of side a ,than find out work done(gravitational potential energy) in increasing side of the triangle from a to 2a.

Grade:12th pass

1 Answers

Kapil Khare
80 Points
5 years ago
Initially each particle is at distance a from any other particle. So, initial potential energy U1 = [(-Gmm)/a] + [(-Gmm)/a] + [(-Gmm)/a] U1 = (-3Gmm)/aThen distance between any two particles is 2a. So, final potential energy U2 = [(-Gmm)/2a] + [(-Gmm)/2a] + [(-Gmm)/2a] U2 = (-3Gmm)/2aWork done in increasing the side of the triangle = (Initial gravitational potential energy) – (Final gravitational potential energy)

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