Space Time & Motion A.2 Forces & Momentum (id: 43851f52f)

本题目来源于试卷: Space Time & Motion A.2 Forces & Momentum，类别为 IB物理学

[单选题]
A system that consists of two light identical springs connected in series stores a total elastic potential energy $E_p$when a load is added to the springs. One of the springs is then removed and the same load is added to the remaining spring.

In terms of$E_p$, what is the total elastic potential energy stored in the single spring situation?

A. 2 $E_p$
B. $E_p$
C. 0.5 $E_p$
D. 0.25 $E_p$


参考答案:  C


本题详细解析:
$\underline{\text{Explanation}}$: 
Using Hooke's law, $F=k\mathrm{\Delta }x$, the elastic potential energy is $E_p=\frac{1}{2}k\mathrm{\Delta }{x}^2=\frac{1}{2}F\mathrm{\Delta }x$. In the two-spring situation, both springs have an extension given by the equation $F=k\mathrm{\Delta }x$. When one of the springs is removed, the load remains unchanged and the remaining spring experiences the same extension. Therefore the elastic potential energy stored is also halved.

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