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Standard XII

Physics

COE in SHM

A mass vibrat...

Question

A mass vibrates on an ideal spring in a horizontal plane as shown in the figure. The total energy of the spring is 100J. Calculate the kinetic energy of the mass at point B?

25J

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50J

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75J

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100J

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200J

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Solution

The correct option is D 100J
The point B is the point of equilibrium. Hence the potential energy at that point would be $\frac{1}{2} k x^{2} = \frac{1}{2} k (0)^{2} = 0 J$
Hence the total energy at point B would be the kinetic energy= $100 J$ .

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A mass vibrates on an ideal spring in a horizontal plane as shown in the figure. The total energy of the spring is 100J. Calculate the kinetic energy of the mass at point B?

The correct option is D 100JThe point B is the point of equilibrium. Hence the potential energy at that point would be 12kx2=12k(0)2=0JHence the total energy at point B would be the kinetic energy=100J.

The correct option is D 100J
The point B is the point of equilibrium. Hence the potential energy at that point would be $\frac{1}{2} k x^{2} = \frac{1}{2} k (0)^{2} = 0 J$
Hence the total energy at point B would be the kinetic energy= $100 J$ .