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A body is travelling in a straight line path with a velocity given by v = ax where 'a' is a constant such that a = 5 units. What will be the work done by the force acting during its displacement from x = 0 to x = 2m ? |
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Answer» 15 J Differentiating `(dv)/(at)=3//2a x^(1//3)(dv)/(DT)` or`a=3//2a.x^(1//2)xxv` =`3//2a x^(1//2)xx AX^(3//2)` =`3//2^2x^2` `:.` FORCE `F=ma=3//2a^2 x^2xx0.5` =`3//4a^2x^2` Now Work `W=int_0^2 F dx=int_0^2 3//4a^2x^2dx` =`3//4a^2[x^3/3]_0^2` =`3//4xx(5)^2xx8//3=50 J` |
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