Calculate the work done in Rectangle?

[abrowaqas]

Homework Statement

A force acting on a particle moving in XY plane is given by F= 2y i + x^2 j . particle moves from origin to a final position having coordinates (x,y)=(5,5). calculate the work done by force F along

B_____________C
| |
| |
O |____________| A

a) Path OAC
b) Path OBC
c) Path OC
d) is force F is conservative ?

Homework Equations

work. ∫ f. dx

The Attempt at a Solution

a)
Path OAC
W= ∫(O to A) + ∫(O to B)
= ∫ (O to A) F. dx + ∫ (O to B) F. dy
= ∫( 0 to 5 ) 2y dx + ∫(0 to 5 ) x^2 dy

how it goes in the intergration ..
kindly help i am not getting it cleary..

 

[tiny-tim]

hi abrowaqas!

yes that's fine …

in ∫ f(x) dy, x is a constant, so you can take it outside the ∫ …

f(x) ∫ dy ​

 

[abrowaqas]

thanks tiny-tim
i got the answer...

the complete answer is here ..

http://cas.umkc.edu/physics/wrobel/phy240/Homework 5.pdf