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The potential energy of a particle of ma...

The potential energy of a particle of mass 1 kg in a conservative field is given as `U=(3x^(2)y^(2)+6x)` J, where x and y are measured in meter. Initially particle is at (1,1) & at rest then:

A

Initial acceleration of particle is `6sqrt(5)ms^(2)`

B

Work done to slowly bring the particle to origin is 9 J

C

Work done to slowly bring the particle to origin is `-9` J

D

If particle is left free it moves in straight line

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The correct Answer is:
A, C
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