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The extension of the spring is 4.83 m, if work done is 35 Newton and spring constant is 3 k N/m.
The spring constant, k, is a measure of the stiffness of the spring. it's far one of a kind for unique springs and materials. the larger the spring regular, the stiffer the spring and the greater.
Spring constant of 3 k N/m,
The amount of work done in extending is 35 N
WORK DONE by spring force = 1/2 k X²
⇒0.5 * 3 * X²
35 N = 0.5 * 3 * X²
X² = 35/1.5
x = [tex]\sqrt{23.33}[/tex]
X = 4.83 m
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The extension of the spring is can be found out by using the Work Done due to extension in Spring Constant K. The extension in the spring is 4.83m.
The spring constant, k, is a measure of the stiffness of the spring. It is for springs and materials which measures the ratio of force that affects the spring and the displacement caused by the force action.
Spring constant depends on the stiffness of the spring, wire thickness, number of turns in wound coil, length of spring and diameter of the coil.
Given:
Spring constant = 3000 N/m
Work Done in extension= 35 N
Let the extension in spring by x.
∴ Work Done by spring force = 1/2 kx²
Work done = 0.5 × 3 × x²
⇒ 35 N = 0.5 × 3 × x²
⇒ x² = 35/1.5
⇒ x = 4.83m
Hence, the extension of spring is 4.83m.
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