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an object is displaced from a point a(0,0,0) to b(1m,1m,1m)under a force f=(yi+xj)n.the work done by this force in this process is

prasad , 7 Years ago
Grade 11
anser 3 Answers
Arun

Last Activity: 7 Years ago

Dear student
 
Displacement vector = i + j +k
Now
Work done = F.S
= (y i + xj) n . ( i + j+ k)
= ny + nx
 
Regards
Arun(askIITians forum expert)

prasad

Last Activity: 7 Years ago

but answer is given as 1 joule                                                                                       
the force is (yi+xj) Newton 
plz provide solution again 
 
 
 
 
 
 
 
 
the correct answer is 1 joule

Arun

Last Activity: 7 Years ago

W = F. dr

 

W = (yi+xj) . (dxi+dyj)

 

dW = (ydx + xdy)

 

dW = d(xy)

 

integrating both sides ,

 

W = xy from (0,0,0) to (1,1,1)

 

W = 1*1 - 0

W = 1 joule

 

Hope it helps

 

Regards

Arun(askIITians forum expert)

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