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A force F = (3xi + 4j ) Newton (where x is in metres) acts on a particle which moves from a position (2m, 3m) to (3m, 0m). Then the work done is

A force F = (3xi + 4j ) Newton (where x is in metres) acts on a particle which moves from a position
(2m, 3m) to (3m, 0m). Then the work done is

Grade:12

2 Answers

Arun
25750 Points
4 years ago
Given Force,
F
 =3 
i
^
 +4 
y
^
​ 
 
Displacement of the particle, from given coordinates :
Δ 
r
 = 
r
  
f
​ 
 − 
r
  
i
​ 
 
=(3 
i
^
 +0 
j
^
​ 
 )−(2 
i
^
 +3 
j
^
​ 
 )
⇒Δ 
r
 =( 
i
^
 −3 
j
^
​ 
 )m
So, work done by force
w= 
F
 .A 
r
 
=(3 
i
^
 +4 
j
^
​ 
 ).( 
i
^
 −3 
j
^
​ 
 )
⇒w=−9 
j
^
​ 
Vikas TU
14149 Points
4 years ago
Dear student 
Question is not clear 
Please attach an image, 
We will happy to  help you 
Good Luck
Cheers
 

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