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A particle of mass m moves on positive x-axis under the influence of force acting towards the origin given by `-kx^2 hat i.` If the particle starts from rest at `x=a,` the speed it will attain when it crosses the origin isA. `(sqrtk/(ma))`B. `(sqrt2k/(ma))`C. `(sqrt(ma)/2k)`D. None of these |
Answer» Correct Answer - D `a=F/m=(-kx^2)/m` `:. v.(dv)/(dx)=-(kx^2)/m` or `int_0^v vdv=int_a^0-(kx^2)/m dx` `v^2/2=(ka^3)/(3m)` `:. v=(2ka^3)/(3m)` |
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