an elastic cord 61 cm long when a weight of 75N hangs from it, but 85cm when a weight of 210N hangs from it. what is the spring constant of

Question

an elastic cord 61 cm long when a weight of 75N hangs from it, but 85cm when a weight of 210N hangs from it. what is the spring constant of the cord

in progress 0
Edana Edana 5 years 2021-08-11T17:38:41+00:00 1 Answers 21 views 0

Answers ( )

  1. King
    0
    2021-08-11T17:40:06+00:00
    Reply

    Answer:

    560 N/m

    Explanation:

    F = kx

    75 N = k (0.61 m − L)

    210 N = k (0.85 m − L)

    Divide the equations:

    2.8 = (0.85 − L) / (0.61 − L)

    2.8 (0.61 − L) = 0.85 − L

    1.708 − 2.8L = 0.85 − L

    0.858 = 1.8L

    L = 0.477

    Plug into either equation and find k.

    75 = k (0.61 − 0.477)

    k = 562.5

    Rounded to two significant figures, k = 560 N/m.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )