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12 March, 04:25

A 3858 N piano is to be pushed up a (n) 3.49 m frictionless plank that makes an angle of 31.6 ◦ with the horizontal. Calculate the work done in sliding the piano up the plank at a slow constant rate. Answer in units of J.

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  1. 12 March, 04:33
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    The work done will be equal to the potential energy of the piano at the final position

    P. E=m. g. h

    . consider the plank the hypotenuse of the right triangle formed with the ground

    . let x be the angle with the ground=31.6°

    . h be the side opposite to the angle x (h is the final height of the piano)

    . let L be the length of the plank

    sinx=opposite side / hypotenuse

    = h/L

    then h=L. sinx=3.49*sin31.6°=0.638m

    weight w=m. g

    m=w/g=3858/10=385.8kg

    Consider Gravity g=10m/s2

    then P. E.=m. g. h=385.8kg*10*0.638=2461.404J

    then Work W=P. E.=2451.404J
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