An object of mass 1kg is subjected to a variable force in x-direction. The force function is F = x^2 N. What is the work done in moving the object from x = 2 to 5?

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Editor">Editor Staff asked 1 year ago

An object of mass 1kg is subjected to a variable force in x-direction. The force function is F = x^2 N. What is the work done in moving the object from x = 2 to 5?
 
(a) 40
 
(b) 39
 
(c) 38
 
(d) 69
 
I have been asked this question in unit test.
 
My question comes from Work Done by a Variable Force in section Work, Energy and Power of Physics – Class 11
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

Right answer is (b) 39
 
Easy explanation: The work is given by formula W =
∫
x2
x1
F * dx. So, W =
∫
5
2
x^2 * dx = (5^3-2^3)/3 = 39 J.

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