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a particle moves along X-axis from X=a to X=b under the in fluence of a force given by F=2x then work done in the progress is

a particle moves along X-axis from X=a to X=b under the in fluence of a force given by F=2x then work done in the progress is 

Grade:12

1 Answers

Amogh Gajare
60 Points
8 years ago
Hello.This problem can be solved only and only by method of Integration.If you have not learnt integration,you have to learn it first.
The initial and final positions as given in question are X1 = a and X2 = b and force is 2x.
Work done (W)  = $$\int_{a}^{b} F dx$$ F. dx
 
       So, W = $$\int_{a}^{b} 2x dx$$
W =\left [ x^{_{2}} \right ] with upper limit b and lower one a
By solving we get that wok done is b2 - a2
Please feel free to ask more doubts.All the best!
 
 
 

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