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applesjgtl

  • 2 years ago

A monkey uses a fishing pole to raise 750g of bananas up to his position 15m above the ground. If the monkey's power output was 330 W, how long did it take to reel in the bananas?

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  1. applesjgtl
    • 2 years ago
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    W=f*d?

  2. Shane_B
    • 2 years ago
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    Let me restate that...calculate the PE :)

  3. applesjgtl
    • 2 years ago
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    Oh, okay. \[PE=mg \Delta y\]?

  4. Shane_B
    • 2 years ago
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    Yes \[\Delta PE = mg\Delta h\]

  5. applesjgtl
    • 2 years ago
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    Okay: \[(750g)(9.81m/s^2)(15m)=110,362.5J\]

  6. Shane_B
    • 2 years ago
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    Almost...your mass needs to be in kg. Anyway, you'll get 110.3625J

  7. applesjgtl
    • 2 years ago
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    So the mass would be 7.5 kg?

  8. Shane_B
    • 2 years ago
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    No :) 750g = 0.75kg

  9. applesjgtl
    • 2 years ago
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    Sorry, what is s?

  10. Shane_B
    • 2 years ago
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    seconds

  11. Shane_B
    • 2 years ago
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    \[Watts=\frac{Joules}{second}\]

  12. applesjgtl
    • 2 years ago
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    and that would be equal to 330W

  13. Shane_B
    • 2 years ago
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    To be more clear:\[330W=\frac{330Joules}{second}\]

  14. applesjgtl
    • 2 years ago
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    Hm. That can't be right, can it? Perhaps: \[330W=110.3625J/time (s)\]

  15. Shane_B
    • 2 years ago
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    That's not what I'm saying :) I just showed the conversion of 330W to Joules/second

  16. applesjgtl
    • 2 years ago
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    Oh right, I guess I knew that.

  17. Shane_B
    • 2 years ago
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    So if you have 330J/s of power available and need to perform 110.3625J of work, how long would that take?

  18. applesjgtl
    • 2 years ago
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    36419.63 seconds?

  19. applesjgtl
    • 2 years ago
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    That seems really long.

  20. applesjgtl
    • 2 years ago
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    Also seems wrong.

  21. Shane_B
    • 2 years ago
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    It is. So your intuition is correct...that's not the answer

  22. Shane_B
    • 2 years ago
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    \[\frac{110.3625J}{330J/s}=?\]

  23. Shane_B
    • 2 years ago
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    It will take about 1/3 of a second :)

  24. applesjgtl
    • 2 years ago
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    I got .3344 seconds. Don't know how I got so confused the first time around. Thanks for your help, Shane!

  25. Shane_B
    • 2 years ago
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    no problem. I get confused sometimes too...it's physics after all!

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