?Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm

Chapter 5, Problem 9

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QUESTION:

Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 42 cm.

(a) How much work is needed to stretch the spring from 35 cm to 40 cm?

(b) How far beyond its natural length will a force of 30 N keep the spring stretched?

Questions & Answers

QUESTION:

Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 42 cm.

(a) How much work is needed to stretch the spring from 35 cm to 40 cm?

(b) How far beyond its natural length will a force of 30 N keep the spring stretched?

ANSWER:

Step 1 of 5

a)

Applying Hooke's law, the force required to keep a spring stretched  units more than its natural length is proportional to  

where  is a positive constant (called the spring constant).

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