Question

31. In a gravitational force field a particle is taken from A
to B along different paths as shown in figure. Then

a) Work done along path I will be maximum
b) Work done along path III will be minimum
c) Work done along path IV will be minimum
(d) Work done along all the path will be the same​

Answer 1

Answer:

answer is d

Explanation:

gravitaional force is conservative in nature, that is work done is independent of path

Answer 2

d) Work done along all the path will be the same.

But why ?

• First of all , gravitational force is an CONSERVATIVE FORCE.

• The work done to move any object in a gravitational field doesn't depend on the path taken by the object.

• Instead, the work depends on the initial and final position of the object with respect to the reference frame.

In all the 3 cases, the initial position and final position is constant (i.e. A and B respectively).

So, the work done along all paths is equal.

• Option d) is correct ✔️