(A) For a conservative force field,the relationship between force $F$ and potential energy $U$ is given by $F = -\frac{dU}{dx}$.Given $U = ax^2 - bx$.

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(A) For a conservative force field,the relationship between force $F$ and potential energy $U$ is given by $F = -\frac{dU}{dx}$.Given $U = ax^2 - bx$.Now,differentiate $U$ with respect to $x$:$\frac{dU}{dx} = \frac{d}{dx}(ax^2 - bx) = 2ax - b$.Substituting this into the force equation:$F = -(2ax - b) = -2ax + b$.

Class 11 Physics Work, Energy and Power Conservative and Non-Conservative forces and Potential Energy

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For a system of conservative forces,the potential energy $U$ is given by the formula $U = ax^2 - bx$,where $a$ and $b$ are constants. Determine the force $F$.

A
$-2ax + b$
B
$ax + b$
C
$2ax - 2b$
D
$2ax + 2b$

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Work, Energy and Power

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Conservative and Non-Conservative forces and Potential Energy

What are conservative force,non-conservative force,conservative field,and non-conservative field?

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State the conditions for conservative forces.

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Is the spring force a conservative or a non-conservative force?

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Which quantity is obtained by taking the negative derivative of potential energy with respect to displacement in the case of a conservative force?

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There will be a decrease in the potential energy of the system if work is done upon the system by:

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For a system of conservative forces,the potential energy $U$ is given by the formula $U = ax^2 - bx$,where $a$ and $b$ are constants. Determine the force $F$.

Similar Questions

What are conservative force,non-conservative force,conservative field,and non-conservative field?

State the conditions for conservative forces.

Is the spring force a conservative or a non-conservative force?

Which quantity is obtained by taking the negative derivative of potential energy with respect to displacement in the case of a conservative force?

There will be a decrease in the potential energy of the system if work is done upon the system by:

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