Physics Work, Energy, Power and Collision Potential Energy and Mechanical Energy Conservation MCQ (Single Correct)

The potential energy of a particle of mass m free to move along x-axis is given by U = kx 2 for x < 0 and U = 0 for x 0 (x denotes the x-coordinate of the particle and k is a positive constant). If the total mechanical energy of the particle is E, then its speed at x = – is

A
zero
B
C
D

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The correct answer is:
A

From conservation of energy

K.E. + P.E. = E or K.E. = E – kx 2

K.E. at x = – is

E – k = 0

The speed of particle at x = – is zero.

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