1.

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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