question archive It requires 1000 J of work to stretch a spring 3

It requires 1000 J of work to stretch a spring 3

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It requires 1000 J of work to stretch a spring 3.00 cm. Which of the following is the change in potential energy and the spring constant of the spring?

a. increase in potential energy = 1.50x103 J
spring constant = 333 N/m

b. increase in potential energy = 15.0 J
spring constant = 3.33x104 N/m

c. increase in potential energy = 1000 J
spring constant = 2.22x106 N/m

d. increase in potential energy = 30.0 J
spring constant = 6.67x106 N/m

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Answer:

W=0.5*k*(X)2

1000=.5*k*.03*.03

k=2.22*106 N/m

Now work done by all the forces=change in potential energy+change in kinetic energy

1000=U+0

since change in kinetic energy is 0

U=1000 J