Scientific Skills & Tools (id: 9955f4a56)

本题目来源于试卷: Scientific Skills & Tools，类别为 IB物理学

[单选题]
A spring of negligible mass and length of $l_0$ is attached to a fixed point. When the spring is extended by an external force F, the length of the spring increases to $l$. The graph shows how the length of the spring varies with the tension in spring. The tension in the spring is equal to $k△l$, where k is a constant and $△l$ is the extension of the spring.


What are the gradient and y-intercept of the graph?

A.
B.
C.
D.


参考答案:  B


本题详细解析:

The y-intercept is the length of the spring when there is no external force. Therefore, the y-intercept is $l_o$

Gradient is $\cfrac{\Delta y}{\Delta x}$ on the graph

Hooke's Law states that $F = k\Delta x$ and in this case $\Delta x = l - l_o$

The gradient = $\cfrac{l-l_o}{F} = \cfrac{\Delta x}{F}$

Therefore, $gradient = \dfrac{1}{k}$

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