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Conservative force a negative gradient of potential energy

Question

The potential energy of a particle of mass 5 kg moving in the x-y plane is given by U=7x+24y   J , x and y being measured in metre. If the particle starts from origin from rest, then the magnitude of the conservative force acting on the particle is:

Moderate
Solution

F=dUdxi^dUdyj^=7i^24j^F=25    units



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