Question

a body is acted upon by a force which is inversely proportional to the distance x. the work done will be
a)x
b)x2
c)x^3/2
d)㏒ex ( the e is at the bottom of log )

Answer 1

Answer:

d logex

Explanation:

als the force is inversely proportional to the distance x the work will be logex

Answer 2

The correct answer to the following question is (d), that is loge x

Given: Force acting upon a body is inversely proportional to the distance x

To find: Work done by the body.

Solution:

Work done by the body is equal to the product of the force applied to the body and the distance the body moves.

Since F is inversely proportional to the distance X

Work done = ∫F.dx

                   = ∫1/X.dx

The integration of 1x.dx is equal to the logarithm of x with the base e.

                   = loge X  

Therefore, the work done will be loge X

• Work done is defined in such a way that it involves both Force applied on the body and the displacement of the body
• Its SI unit is Joule.