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Math Help - spring force

  1. #1
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    spring force

    a. if it takes a force of 100N to compress a certain spring a distance of 5 cm, how much force would be required to compress the same spring by 10cm?

    b.how much force would be required to compress by 5 cm a spring with twice the spring constant as the spring in part (a)?
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  2. #2
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    Quote Originally Posted by lirjie View Post
    a. if it takes a force of 100N to compress a certain spring a distance of 5 cm, how much force would be required to compress the same spring by 10cm?

    b.how much force would be required to compress by 5 cm a spring with twice the spring constant as the spring in part (a)?
    F = kx where x is the change in length.

    (a) 100 = 5k => k = 20 N/cm. Therefore F = (20)(10) = 200 N.

    You should be able to do (b) now.
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    thank you!! i understand part a, i actually had the same answer u got but its part b that im having the most difficulty with..would this be right

    f = -kx

    200N = -k5
    k= 40N

    ?????????
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  4. #4
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    Quote Originally Posted by lirjie View Post
    a. if it takes a force of 100N to compress a certain spring a distance of 5 cm, how much force would be required to compress the same spring by 10cm?

    b.how much force would be required to compress by 5 cm a spring with twice the spring constant as the spring in part (a)?
    Quote Originally Posted by lirjie View Post
    thank you!! i understand part a, i actually had the same answer u got but its part b that im having the most difficulty with..would this be right

    f = -kx

    200N = -k5
    k= 40N

    ?????????
    k = 2(20) = 40 N/cm. Therefore F = (40)(5) = 200 N.
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  5. #5
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    thank you so much!!!!

    i dont understand however where you got 2 and 20 from...(2)(20)= 40???
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  6. #6
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    Quote Originally Posted by lirjie View Post
    thank you so much!!!!

    i dont understand however where you got 2 and 20 from...(2)(20)= 40???
    *Ahem* ...... twice the spring constant as the spring in part (a)
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