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An unstretched spring has a length of 10 centimeters. When the spring is stretched by a force of 16 newtons, its length is increased to 18 centimeters. What is the spring constant of this spring?

Answer :

Spring constant is 200 N/m

Explanation:

We have force in a spring

             F = kx

      k is spring constant and x is elongation of spring.

We have an unstretched spring has a length of 10 centimeters. When the spring is stretched by a force of 16 newtons, its length is increased to 18 centimeters

           Force, F = 16 N

           Elongation, x = 18 - 10 = 8 cm = 0.08 m

Substituting in

             F = kx

             16 = k x 0.08

              k =  200 N/m  

Spring constant is 200 N/m      

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