Space Time & Motion A.3 Work Energy and Power (id: b192c9bbe)

本题目来源于试卷: Space Time & Motion A.3 Work Energy and Power，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. $2E_p$
B. $E_p$
C. $0.5E_p$
D. $0.25E_p$


参考答案:  C


本题详细解析:
Expianation:

Using Hooke's law, $F=k\Delta x$F=kΔx, the elastic potential energy is 

Ep​=2

1​kΔx2==2

1​FΔx

​

 In the two-spring situation, both springs have an extension given by the equation F=kΔx.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.

$E_p=\frac{1}{2} k\Delta x$. In the two-spring situation, both springs have an extension given by the equation $F=k\Delta x$. 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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