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Question
20 J work is required to stretch a spring through 0.1 m. Find the force constant of the spring. If the spring is further stretched through 0.1m. Calculate work done.
20 J work is required to stretch a spring through 0.1 m. Find the force constant of the spring. If the spring is further stretched through 0.1m. Calculate work done.
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Solution
the work requires to stretch a spring is equal to the energy stored in it = 1/2 k x2
where k = spring constant and x = deformation of spring
1/2 * k * (0.1)2 = 20
k = 4000 N/m
If the spring is further stretched through 0.1m then the total displacement becomes equal to 0.2 m
work done = 1/2 k x2 = 1/2 * 4000 * (.2)2 = 80 joules
the work requires to stretch a spring is equal to the energy stored in it = 1/2 k x2
where k = spring constant and x = deformation of spring
1/2 * k * (0.1)2 = 20
k = 4000 N/m
If the spring is further stretched through 0.1m then the total displacement becomes equal to 0.2 m
work done = 1/2 k x2 = 1/2 * 4000 * (.2)2 = 80 joules
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