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The potential energy of a system under ...

The potential energy of a system under the influence of conservative force at position x is `V(x) =[3x^(2)+4x+5]` .At x = 2 m the conservative force acting on the system is `……….`

A

`-20` N

B

`+16 N `

C

`+20 N `

D

`-16 N `

Text Solution

Verified by Experts

The correct Answer is:
B
`:. U(x) = 3x^(2) +4x+5`
` :. F = (dU)/(dx) = d/(dx) [3x^(2) +4x+5] `
` :. F = 6x + 4`
If x = 2, them
`F = 6 xx2+4 = 16 N `
F = 16 N
` :. F = 16 N `
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