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March 30, 2017

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A cart loaded with bricks has a total mass of 13.5 kg and is pulled at constant speed by a rope.The rope is inclined at 27.9 degrees above the horizontal and the cart moves 13mts on a horizontal floor.The co efficient of kinetic friction between ground and cart is 0.3.The acceleration of gravity is 9.8 m/s^2.How much work is done on the cart by the rope.

  • physics - ,

    Work done by rope = W
    = (rope force)*cos 27.9)*13 meters
    = (friction force)*13 m

    The rope force F is given by the equation

    horizontal component of F
    = friction force
    (since there is zero acceleration)

    F*cos27.9 - (M*g-Fsin27.9)*0.30 = 0

    0.8837 F = (132.3 - 0.4679 F)0.30
    (0.8837 F + 0.1404 F)= 39.69
    F = ?
    W = ?

  • physics - ,

    Since it is moving at a constant velocity there is no acceleration, which means there is no force. The equation for work is force*distance. There fore the work done on the cart by the rope is zero.

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