Question detail

Forces and elasticity scenario: a gear changes turning effect and rotation speed. Which answer best addresses Elastic potential energy and the objective to explain why doubling extension more than doubles elastic potential energy?

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

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At a glance

MCQ

Type

practice

Style

Topic

Forces and elasticity

Question

A. In the gear system scenario, apply elastic potential energy to explain why doubling extension more than doubles elastic potential energy while keeping elastic versus plastic deformation separate.
B. In the gear system scenario, mix up elastic versus plastic deformation and ignore elastic potential energy.
C. Use a general revision statement without applying Elastic potential energy to the situation.
D. Choose a different forces topic instead of explaining explain why doubling extension more than doubles elastic potential energy.

Answer

The correct answer is: In the gear system scenario, apply elastic potential energy to explain why doubling extension more than doubles elastic potential energy while keeping elastic versus plastic deformation separate.

Explanation

The correct option is In the gear system scenario, apply elastic potential energy to explain why doubling extension more than doubles elastic potential energy while keeping elastic versus plastic deformation separate.. It is correct because the scenario says a gear changes turning effect and rotation speed, which must be interpreted through Elastic potential energy. This directly supports the learning objective to explain why doubling extension more than doubles elastic potential energy. Use values 6, 14, and 22 only if the question asks for a calculation. The answer earns credit by naming the relevant force or motion quantity, using units when needed, and avoiding the boundary error elastic versus plastic deformation.

Common mistake

Misunderstanding Elastic Potential Energy

Students often think that doubling the extension of a spring will double the elastic potential energy stored in it.

Students should understand that elastic potential energy is proportional to the square of the extension, so doubling the extension actually increases the energy by a factor of four.

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