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A spring of force constant k is cut into...

A spring of force constant k is cut into two pieces of lengths `l_(1)` and `l_(2).` Calculate force constant of each part.

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To find the force constants of the two parts of a spring that has been cut into lengths \( l_1 \) and \( l_2 \), we can follow these steps: ### Step-by-Step Solution 1. **Understand the relationship between spring constant and length**: The spring constant \( k \) is inversely proportional to the length of the spring. This means that if a spring is cut into two parts, the spring constants of the parts will be related to their lengths. 2. **Define the original spring constant**: ...
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Knowledge Check

  • A spring has length'l' and spring constant 'k'. It is cut into two pieces of lengths l_(1) and l_(2) such that l_(1)=nl_(2) . The force constant of the spring of length l_(1) is

    A
    k(l+n)
    B
    k
    C
    `(k)/((n+1))`
    D
    `(k(n+l))/(n)`

  • A spring of force constant k is cut into two pieces whose lengths are in the ratio 1:2. The force constant of the longer piece?

    A
    `k//2`
    B
    `3k//2`
    C
    `2k`
    D
    `3k`

  • Assertion A spring of force constatn k is cut in to two piece having lengths in the ratio 1:2 The force constant of series combination of the two parts is (3k)/(2) The spring connected in series are represented by k=k_(1)+k_(2)

    A
    Both assertion and reson are true and reason is the correct explanation of assertion
    B
    Both assetion and reason are true but reason is not the correct explanation of assertion
    C
    Assertion is true but reason is false
    D
    Both assetion and reason are flase

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