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The potential energy of a particle of m...

The potential energy of a particle of mass `m` is given by `U = (1)/(2) kx^(2)` for `x lt 0` and `U=0` for `x ge 0`. If total mechanical energy of the particle is `E`. Then its speed at `x = sqrt((2E)/(k))` is

A

zero

B

`sqrt2E/m`

C

`sqrtE/m`

D

`sqrtE/2m`

Text Solution

Verified by Experts

The correct Answer is:
`(2)`
Potential energy of particle at `x = sqrt(2E)/(k)` is zero `(x gt 0)`
`KE = E or 1/2 mv^(2) = E`
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