Question

If 4 J work is to be done in straching spring by 4 cm then find spring constant of the string​

Answer 1

Answer:

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Answer 2

Answer:

A spring requires 4 j of work to be stretched through 4cm, the spring constant is $5000J$

Explanation:

• The elastic potential energy is the energy stored when a force applied to deform an elastic object

• A spring with elastic constant K compressed or expanded at a distance x from its mean position, then the potential energy stored is

        $PE=\frac{1}{2}Kx^{2}$

• The work done by the spring is equal to the change in stored energy

        $W=\frac{1}{2}Kx^{2}$

from the question,

work done by the spring $W=4J$

extended length of the spring $x=4cm=0.04m$

the spring constant can be calculated as

$4=\frac{1}{2}K*0.04^{2} \\K=8/0.0016=5000N/m$