The gravitational field in a region is given by 
N/kg. Find out the work done (in joule) in displacing a particle of mass 1 kg by 1 m along the line 4y = 3x + 9.
Text Solution
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Sol.: 
= 
– 
N / kg
Then 
= m 
= (1 kg) ( 
– 
)N / kg
= 3 
–4 
N
Work done = W = 
. 
= Displacement vector
displacement is along y = 
x + 
Any point on this line can be written as
k 1 
+ 
= k 2 
+ 
= Displacement vector = (k 2 – k 1 ) 
+ 
(k 2 – k 1 ) 
Now W = (3 
– 4 
). 
= 3 (k 2 – k 1 ) – 3 (k 2 – k 1 ) = 0
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