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Standard XII

Physics

Work Energy Theorem Application

The potential...

Question

The potential energy function of a particle in the $x - y$ plane is given by $U = k (x + y)$ , where $k$ is a constant. The work done by the conservative force in moving a particle from $(1, 1)$ to $(2, 3)$ :

- 3 k

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+ 3 k

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k

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None of the above

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Solution

The correct option is A $- 3 k$
$Work done by conservative force$
$= - △ U$
$= U_{i} - U_{f}$
$= [k (1 + 1)] - [k (2 + 3)]$
$= - 3 k$

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The potential energy function of a particle in the x−y plane is given by U=k(x+y), where k is a constant. The work done by the conservative force in moving a particle from (1,1) to (2,3):

The correct option is A −3kWork done by conservative force =−△U=Ui−Uf=[k(1+1)]−[k(2+3)]=−3k

The potential energy function of a particle in the $x - y$ plane is given by $U = k (x + y)$ , where $k$ is a constant. The work done by the conservative force in moving a particle from $(1, 1)$ to $(2, 3)$ :

The correct option is A $- 3 k$
$Work done by conservative force$
$= - △ U$
$= U_{i} - U_{f}$
$= [k (1 + 1)] - [k (2 + 3)]$
$= - 3 k$