# Use Hooke's Law to determine the variable force in the spring problem: A force of 5 pounds...

## Question:

Use Hooke's Law to determine the variable force in the spring problem: A force of 5 pounds compresses a 15-inch spring a total of 3 inches. How much work is done in compressing the spring 7 inches?

## Hooke's Law and Spring

Hooke's law describes the relationship between the applied force and the linear displacement or deformation of a spring. The force applied is equivalent to the spring constant and the magnitude of the displacement in which the direction of the force is opposite to the direction of the displacement and it is represented as a negative sign in the equation.

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Given:

• {eq}F(x) = \text{force} = 5 \,\rm{lb} {/eq}
• {eq}x_1 = \text{compression} = 3 \,\rm{in} {/eq}
• {eq}x_2 = \text{compression} = ? {/eq}

The...

Hooke's Law & the Spring Constant: Definition & Equation

from

Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.