The potential energy of a particle of mass 100g moving along x axis
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Question is incomplete, it would be possible like The potential energy of a particle of mass 100g moving along x axis is U=5x(x-4), where x is in metres. What is the period of oscillation?
Ans. F=-dU/dx, given U=5x(x-4)
F= - 10(x-2)
F= - 10X
We know F= -Kx;
Therefore, spring constant, K= 10.
Time period, T= 2*pi*(m/k)^1/2 , where m is the mass in kg.
Putting all the values , finally, T = pi/5 seconds.
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