Question detail

Explain why the extension of a spring is directly proportional to the force applied up to the limit of proportionality.

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

Question

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Style

Topic

Forces and elasticity

Question

Explain why the extension of a spring is directly proportional to the force applied up to the limit of proportionality.

Answer

The extension of a spring is directly proportional to the force applied due to Hooke's law, which states that the force exerted by a spring is equal to the spring constant multiplied by the extension. This relationship holds true until the limit of proportionality is reached, beyond which the spring may not return to its original length.

Explanation

This question assesses the student's ability to explain a fundamental principle of elasticity and the behavior of springs under load. Understanding this concept is crucial for applying Hooke's law in practical situations.

Common mistake

Common Mistake in Elastic Potential Energy Calculations

Students often confuse extension in the elastic potential energy equation, using incorrect units such as centimeters instead of meters.

Always convert extension to meters before substituting into the elastic potential energy equation.

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