What is the term for the force required to stretch or compress a spring by one metre?

Master the NCEA Level 3 Physics Mechanics Exam with tailored quiz questions. Study efficiently with multiple choice questions and detailed explanations. Get prepared for your exam success!

Multiple Choice

What is the term for the force required to stretch or compress a spring by one metre?

Explanation:
The term for the force required to stretch or compress a spring by one metre is referred to as the spring constant. The spring constant, usually denoted by the symbol \( k \), quantifies the stiffness of the spring. According to Hooke's Law, the force exerted by a spring is directly proportional to the displacement from its equilibrium position, which can be mathematically expressed as \( F = kx \), where \( F \) is the force applied, \( k \) is the spring constant, and \( x \) is the displacement. In this context, if you stretch or compress the spring by one metre, the force needed to achieve this displacement will be precisely equal to the spring constant \( k \). This relationship illustrates how the spring constant provides a measurable way to understand the behaviour of springs under force. The other terms listed do not directly define the relationship of force and displacement in this manner. Hooke's Law describes that force-displacement relationship but does not refer directly to the value of force required for one metre of displacement. Tensile strength relates to the maximum stress a material can withstand while being stretched or pulled before failing, and the elastic limit refers to the maximum extent to which a material can be deformed without

The term for the force required to stretch or compress a spring by one metre is referred to as the spring constant. The spring constant, usually denoted by the symbol ( k ), quantifies the stiffness of the spring. According to Hooke's Law, the force exerted by a spring is directly proportional to the displacement from its equilibrium position, which can be mathematically expressed as ( F = kx ), where ( F ) is the force applied, ( k ) is the spring constant, and ( x ) is the displacement.

In this context, if you stretch or compress the spring by one metre, the force needed to achieve this displacement will be precisely equal to the spring constant ( k ). This relationship illustrates how the spring constant provides a measurable way to understand the behaviour of springs under force.

The other terms listed do not directly define the relationship of force and displacement in this manner. Hooke's Law describes that force-displacement relationship but does not refer directly to the value of force required for one metre of displacement. Tensile strength relates to the maximum stress a material can withstand while being stretched or pulled before failing, and the elastic limit refers to the maximum extent to which a material can be deformed without

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