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pshichka [43]
2 years ago
13

It takes 87 j of work to stretch an ideal spring, initially 1.4 m from equilibrium, to a position 2.9 m from equilibrium. what i

s the value of the spring constant (force constant) of this spring?
Physics
1 answer:
gayaneshka [121]2 years ago
7 0

Given:

Work done = 87 Joule

x_{1} = 1.4 m

x_{2} = 2.9 m

To find:

Spring constant = ?

Formula used:

W = \frac{1}{2} k \triangle x^{2}

Solution:

Work done required to stretch a spring from 1.4 m to 2.9 m is 87 Joule. Work done is given by following formula.

W = \frac{1}{2} k \triangle x^{2}

where W = work done

k = spring constant or force constant

\triangle x is change in length i. e \triangle x=x_{2} x_{1}

k = \frac{2W}{\triangle x^{2}}

k=\frac{87 \times 2}{[x_{2} - x_{1} ]^{2}}

k = 77.33 N/m

Thus, spring constant of the given spring is 77.33 N/m.

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