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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 m. If the particle starts from origin from rest, the magnitude of the conservative force acting on the particle is
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Solution
The correct option is A 25 units
→F=−diffrentiation of U w.r.to coordinates =−[∂U∂x^i+∂U∂y^j]=−[−7^i+24^j].∣∣→F∣∣=√72+242=25 units
→F=−diffrentiation of U w.r.to coordinates =−[∂U∂x^i+∂U∂y^j]=−[−7^i+24^j].∣∣→F∣∣=√72+242=25 units
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