1.

    A block is projected up a rough inclined plane with an initial velocity uu. The coefficient of kinetic friction between the block and the plane is μk\mu_k. The block travels a distance ss up the plane before coming to rest. What is the angle of inclination hetaheta of the plane?

    A

    \sinheta+μk\cosheta=2gsu2\sinheta + \mu_k\cosheta = \frac{2gs}{u^2}

    B

    \sinhetaμk\cosheta=u22gs\sinheta - \mu_k\cosheta = \frac{u^2}{2gs}

    C

    \sinheta+μk\cosheta=u2gs\sinheta + \mu_k\cosheta = \frac{u^2}{gs}

    D

    \sinheta+μk\cosheta=u22gs\sinheta + \mu_k\cosheta = \frac{u^2}{2gs}

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    1.

    A block of mass mm is placed on a rough inclined plane with an angle of inclination hetaheta. The coefficient of static friction between the block and the plane is μs\mu_s. A horizontal force FF is applied to the block. For what range of values of FF will the block remain at rest?

    A

    mg(sinθ - μs cosθ)/(cosθ + μs sinθ) ≤ F ≤ mg(sinθ + μs cosθ)/(cosθ - μs sinθ)

    B

    mg(sinθ - μk cosθ)/(cosθ + μk sinθ) ≤ F ≤ mg(sinθ + μk cosθ)/(cosθ - μk sinθ)

    C

    F ≤ mg(sinθ + μs cosθ)/(cosθ - μs sinθ)

    D

    F ≥ mg(sinθ - μs cosθ)/(cosθ + μs sinθ)

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    3.

    A block is projected up a rough inclined plane with an initial velocity uu. The coefficient of kinetic friction between the block and the plane is μk\mu_k. The block travels a distance ss up the plane before coming to rest. What is the angle of inclination hetaheta of the plane?

    A

    \sinheta+μk\cosheta=2gsu2\sinheta + \mu_k\cosheta = \frac{2gs}{u^2}

    B

    \sinhetaμk\cosheta=u22gs\sinheta - \mu_k\cosheta = \frac{u^2}{2gs}

    C

    \sinheta+μk\cosheta=u2gs\sinheta + \mu_k\cosheta = \frac{u^2}{gs}

    D

    \sinheta+μk\cosheta=u22gs\sinheta + \mu_k\cosheta = \frac{u^2}{2gs}

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    5.

    A block is placed on an inclined plane of angle hetaheta. The coefficient of static friction between the block and the plane is μs\mu_s. What is the maximum angle of inclination hetaheta for which the block will remain at rest?

    A

    heta=sin1(μs)heta = \sin^{-1}(\mu_s)

    B

    heta=cos1(μs)heta = \cos^{-1}(\mu_s)

    C

    heta=an1(μs)heta = an^{-1}(\mu_s)

    D

    heta=cot1(μs)heta = \cot^{-1}(\mu_s)

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