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anonymous

  • one year ago

a worker uses a block and tackle with a mechanical advantage of 1.74 to lift a 225 N crate a distance of 16.5 m. He pulls 33.0 m of rope. What force did she use to lift the crate? 29.0 N , 129 N , 57.0 N , or 392 N

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  1. Michele_Laino
    • one year ago
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    please, wait a moment a student asked me for help in Mathematics

  2. anonymous
    • one year ago
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    ok!

  3. Michele_Laino
    • one year ago
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    here we have to consider the work done by the weight force of the crate, which is: \[{W_1} = Fs = 225 \times 16.5 = ...\]

  4. Michele_Laino
    • one year ago
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    what do you get?

  5. anonymous
    • one year ago
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    i get 3712.5

  6. anonymous
    • one year ago
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    is that right?

  7. Michele_Laino
    • one year ago
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    ok! that's right!

  8. anonymous
    • one year ago
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    what happens next? to find the solution to the problem?

  9. Michele_Laino
    • one year ago
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    next we have to consider the work W_2 done by the worker, which is: \[{W_2} = Rd\] Now we don't know what is R

  10. Michele_Laino
    • one year ago
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    whereas d=330 meters

  11. Michele_Laino
    • one year ago
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    oops..d=33 meters

  12. anonymous
    • one year ago
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    ok!

  13. Michele_Laino
    • one year ago
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    in order to find the value of the requasted force R, we have to apply this condition: \[\Large 1.74 = \frac{{3712.5}}{{33R}}\] so what is R?

  14. anonymous
    • one year ago
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    64.655?

  15. Michele_Laino
    • one year ago
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    sorry, it is the wrong result, please wait, I revise my reasoning

  16. anonymous
    • one year ago
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    ok!

  17. Michele_Laino
    • one year ago
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    the requested force is given by the subsequent simple computation: \[1.74 = \frac{R}{F},\quad R = 1.74F = 1.74 \times 225 = ...Newtons\] here I have applied the definition, of advantage of a simple machine, namely: \[{\text{advantage}} = \frac{{{\text{resistive force}}}}{{{\text{agent force}}}}\]

  18. anonymous
    • one year ago
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    391.5? so our solution is 392 N?

  19. Michele_Laino
    • one year ago
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    yes! that's right!

  20. anonymous
    • one year ago
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    yay!

  21. Michele_Laino
    • one year ago
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    :)

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