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A worker stands still on a roof sloped at an angle of 23° above the horizontal. He is prevented from slipping by a static frictional force of 540 N. Find the mass of the worker.

  • physics -

    m g sin 23 is the component of the worker's weight down the roof slope.

    That equals the friction force 540 N

    Solve M g sin23 = 540
    to get the mass, M.

    He's a pretty heavy guy, it seems.

  • physics -

    210.99

  • physics -

    497

  • physics -

    M*9.8*sin23=540
    M*9.8=540/sin23 =1382.02
    M=1382.02/9.8 =141.02kg


    M=141.02kg

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