Question

Q1. If a Conservative Force is given as F = 2xî + 3y²j, find the Potential Energy at (3,4) if Potential Energy at (2,1) is 8 J
(a) -60 J
(b) 60 J
(c) -20 J
(d) 20 J​

Answer 1

Answer:

Answer

U=−∫F

x

dx−∫F

y

dy

(i)

U=−∫2dx−∫3dy=−2x−3y

(ii)

U=−∫2xdx−∫2ydy=−x

2

−y

2

(iii)

U=−∫ydx−∫xdy=−∫d(xy)

Since, d(xy)=xdy+ydx

⟹U=−xy

Explanation:

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