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Standard XII

Physics

Elastic Potential Energy

A conservativ...

Question

A conservative force acts on a particle as the particle moves along the positive x-axis from origin to $x = 2 m$ . The force is parallel to x-axis. Now, consider four different cases, as shown in the figures, 1, 2, 3 and 4, where the force is shown as a function of $x$ . Rank the situations according to the change in potential energy associated with the force, least (or most negative) to greatest (or most positive)

2, 1, 4, 3

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3, 4, 1, 2

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1, 2, 3, 4

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4, 2, 3, 1

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Solution

The correct option is A 2, 1, 4, 3
We know,
In case of conservative force,

$U = \int - F . d (x)$

Or $U =$ -(Area under F-x curve)

$Case 1$

$U = - 20 J$

$Case 2$

$U = - 40 J$

$Case 3$

$U = 20 J$

$Case 4$

$U = 0$

Ranking the potential energies,

$2,1,4,3$

Option $A$ is the correct answer

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The correct option is A 2, 1, 4, 3We know,In case of conservative force,U=∫−F.d(x)Or U= -(Area under F-x curve)Case 1U=−20 JCase 2U=−40 JCase 3U=20 JCase 4U=0Ranking the potential energies,2,1,4,3Option A is the correct answer

The correct option is A 2, 1, 4, 3
We know,
In case of conservative force,

$U = \int - F . d (x)$

Or $U =$ -(Area under F-x curve)

$Case 1$

$U = - 20 J$

$Case 2$

$U = - 40 J$

$Case 3$

$U = 20 J$

$Case 4$

$U = 0$

Ranking the potential energies,

$2,1,4,3$

Option $A$ is the correct answer