If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 (as shown in fig) in the gravitational field of the point mass 'm'. Find the correct relation between 'W'1, 'W2' and 'W3'

Question

If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 (as shown in fig) in the gravitational field of the point mass 'm'. Find the correct relation between 'W'1, 'W2' and 'W3' (A) W1 < W3 < W2 (B) W1 < W2 < W3 (C) W1 = W2 = W3 (D) W1 > W3 > W2

Tardigrade Admin · Accepted Answer

Gravitational force is a conservative froce. As we know that the work done by a conservative force is indepęndent of the path followed and depends only on the end points of the motion. Since in the given pattern

w_{1}, w_{2}

and

w_{3}

have the same end point

A

and

B

as shown in the figure below,

So, the correct relation between is

w_{1} = w_{2} = w_{3}

$W_{1} < W_{3} < W_{2}$

$W_{1} < W_{2} < W_{3}$

$W_{1} = W_{2} = W_{3}$

$W_{1} > W_{3} > W_{2}$

Q. If W1​, W2​ and W3​ represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 (as shown in fig) in the gravitational field of the point mass ′m′. Find the correct relation between ′W1′​, ′W2′​ and ′W3′​

W1​<W3​<W2​

W1​<W2​<W3​

W1​=W2​=W3​

W1​>W3​>W2​

$W_{1} < W_{3} < W_{2}$

$W_{1} < W_{2} < W_{3}$

$W_{1} = W_{2} = W_{3}$

$W_{1} > W_{3} > W_{2}$