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The potential energy for a conservative ...

The potential energy for a conservative system is given by
`U = ax^2 - bx`
where a and b are positive constants. The law of the force governing the system is 

A

F = constant

B

`F = bx – 2a `

C

`F = b - 2ax `

D

`F = 2ax `

Text Solution

Verified by Experts

The correct Answer is:
C
In a conservative field, `F = -(dU)/(dx)`
`:. F = - d/(dx) (ax^2 - bx) = - (2ax - b) = b - 2ax`.
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