Conservative forces are:
(a) Path dependent
(b) Position dependent
(c) Independent of both position and path
(d) Partially dependent on both position and path
Answers
Answer:
path dependent
Explanation:
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Answer:
Explanation:
We know that the gravitational force is given by the expression.
F=mg
Let us now see what happens if we throw a ball in two different paths but with the same start and end points. Let us first throw a ball and find the work done by gravity when the ball reaches the height (H).
For the next case, let us say we have thrown the same ball with a higher velocity such that, the ball passes the height (H), and travels further and reaches a height (L), and then comes back to (H) and finally reaches the ground. And thus, we have two different paths in which the same ball has reached the height (H). Let us compute the work done in each case and see what is the result:
Case 1:
Work done W
1
= ∫
0
H
(−mg)dx = −mgH
Case 2:
Work done W
2
= ∫
0
L
(−mg)dx−∫
L
H
(−mg)dx = −mgH
We observe that W
1
=W
2
. And thus, according to the definition of the conservative forces, we can say that the Work is a 'conservative force' because it is path independent.