Suppose a spring has a spring constant k1 = 780 N/m as the spring is stretched from x = 0 to x1 = 35 cm. The spring constant then changes to k2 = 390 N/m as the spring is stretched to x2 = 79 cm. From x2 = 79 cm to x3 = 98 cm the spring force is constant at F3 = 140 N.   Write an equation for the work done in stretching the spring from x1 to x2.   Calculate the work done, in joules, in stretching the spring from x1 to x2.   Calculate the work, in joules, necessary to stretch the spring from x = 0 to x3.

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
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Suppose a spring has a spring constant k1 = 780 N/m as the spring is stretched from x = 0 to x1 = 35 cm. The spring constant then changes to k2 = 390 N/m as the spring is stretched to x2 = 79 cm. From x2 = 79 cm to x3 = 98 cm the spring force is constant at F3 = 140 N.

 

Write an equation for the work done in stretching the spring from x1 to x2.

 

Calculate the work done, in joules, in stretching the spring from x1 to x2.

 

Calculate the work, in joules, necessary to stretch the spring from x = 0 to x3.     

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