The potential energy of a particle of mass m free to move along the x-axis is given by U=(1/2)kx2 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=−2E/k is
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a
Zero
b
2Em
c
Em
d
3E2m
answer is A.
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Detailed Solution
From the conservation of energyKE+PE=E or KE=E−12kx2KE at x=−2Ek is E−12k2Ek=0The speed of particle at x=−2Ek is zero.