Question:

1.A block is pulled along a rough horizontal surface by a horizontal string.?

by Guest60122  |  earlier

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If the string pulls the block at a steady speed and does work of 100 J in moving the block of distance of 5 m, find the tension in the string.

2. How to find more information on Materials Selection Chart and Materials in the Real World.

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  1. Figure the free space vector diagram  

    You Need:

                

                Materials of contacting surfaces

                Friction coefficient for each

                 Force of Friction

                 Angle of pull h respect with horzontal

                 Mass of cart


  2. work = force * distance

    100J = T * 5m

    T = 20N

  3. Your working equation is

    Work = Force * Distance

    Force = net force acting on the block

    and if you draw a free body diagram, the net force

    F = T - f

    where

    T =  tension in the string

    f = frictional force acting against the block (since block is on a rough horizontal surface)

    By definition,

    f = (mu) * mg

    where

    mu = coefficient of friction

    m = mass of the block

    g = acceleration due to gravity = 9.8 m/sec^2 (constant)

    Therefore,

    f = (mu)(m)9.8 = 9.8(mu)(m)

    Hence,

    100 = [T - 9.8(mu)(m)](5)

    T = 100/5 + 9.8(mu)(m)

    T = 20 + 9.8(mu)(m)

    To determine the actual value of T, two factors need to be known, i.e., the coefficient of friction (mu) and the mass of the block.

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