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A single conservative f((x)) acts on a m...

A single conservative `f_((x))` acts on a `m = 1 kg` particle moving along the x-axis. The potential energy `U_((x))` is given by :
`U_((x)) = 20 + (x - 2)^(2)`
where x is in metres. At `x = 5 m`, a particle has kintetic energy of 20 J
The maximum speed of the particle is:

A

`1 m//s`

B

`29 m//s`

C

`sqrt(29) m//s`

D

`sqrt(58) m//s`

Text Solution

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The correct Answer is:
D
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