NEET Physics Work, Energy, and Power MCQs

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    NEET Questions / Physics / Work, Energy, and Power

    10.

    A particle of mass mm moves along the x-axis under the influence of a variable force F(x)=kx+ax3F(x) = -kx + \frac{a}{x^3}, where kk and aa are positive constants. If the particle starts from rest at x=x0x = x_0, what is its speed when it reaches x=x02x = \frac{x_0}{2}?

    A

    v=3m(kx024ax02)v = \sqrt{\frac{3}{m}(\frac{kx_0^2}{4} - \frac{a}{x_0^2})}

    B

    v=3m(kx022a2x02)v = \sqrt{\frac{3}{m}(\frac{kx_0^2}{2} - \frac{a}{2x_0^2})}

    C

    v=km(x02x024)v = \sqrt{\frac{k}{m}(x_0^2 - \frac{x_0^2}{4})}

    D

    v=2m(kx0222ax02)v = \sqrt{\frac{2}{m}(\frac{kx_0^2}{2} - \frac{2a}{x_0^2})}

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