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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: work & force
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umang (229)

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solve -
Force acting on a particle is (2i + 3j)N . Work done by this force is zero , when a particle is moved on the line 3y+kx=5 . Hence , find the value of k ?????

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yahiyafirdous (370)

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Let us consider two points on the given line be P(0,5/3) and Q(1, (5-k)/3)
 
This can be represented by
 
radius vector r= i -kj
Since work done is zero
 
Hence F dot r=0
(2i+3j).(i-kj)=0
2-3k=0
k=2/3
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umang (229)

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Hi yahiyafirdous ,
I am not able to understand how u got radius vector = i-kj . also , the options i have for the value of k are  2 , 4 , 6  &  8

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KAB (1674)

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4 might be the ans

ADARSH
NITK Surathkal

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umang (229)

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Hi ,
the correct answer is k=2 , and i got it .
work done = F.dx , where dx is the distance b/w final and initial points . let's take two points (0,5/3) and (5/k,0) which lie on the given line
Then , dx = 5/ki + 5/3j
hence , F.dx=0 (bcoz W=0)
i.e. 10/k-5=0
k=2

Umang
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