In Example 10.5, the bottom left image in Figure 10.12 shows a block at rest against a compressed spring. At this moment, how much potential energy is stored in the spring?

Question

BlackTom AI · Accepted Answer

Let’s evaluate each option in turn, keeping in mind that the question asks for the potential energy stored in a compressed spring when a block is at rest against it, which is given by the formula U = 1/2 k x^2.
Option ".12 J": This value does not match the reported energy in the problem setup. Since the problem specifies the bottom left image in Figure 10.12 stores a certain amount of energy when compressed, 0.12 J would imply a very small product of k and x^2, which would require an unusually small displacement or spring constant compared to the scenario described. In short, this is not the energy depicted in the example.
Option "0.051 J": This is even smaller, about one tenth of 0.51 J, and far from the 0.78 J referenced by the problem’s answer. Unless the spring constant or displacement is drastically reduced, this value would not describe the energy stored in a compressed spring for the given figure. Therefore this option is inconsistent with the setup.
Option "6.1 J": This value is several times larger than 0.78 J, which would require a substantially larger displacement or a much stiffer spring than implied by the example. Without a correspondingly large kx^2/2, 6.1 J would not be the energy stored in the spring in the described configuration, making this option unlikely.
Option "0.78 J": This matches the energy stated in the problem’s answer key and aligns with the general relation U = 1/2 k x^2 for a compressed spring in the depicted setup. If the figure shows a particular compression and spring constant that yield 0.78 J, then this value correctly represents the potential energy stored at that moment. In summary, this option is consistent with the given reference and the physics of a spring’s potential energy.

PHYS 2305 Spring 25 Lin Quiz 07 - Chapter 9 (9.4-9.6) and Chapter 10 (10.1-10.8)

In Example 10.5, the bottom left image in Figure 10.12 shows a block at rest against a compressed spring. At this moment, how much potential energy is stored in the spring?

查看解析

登录即可查看完整答案

类似问题

Energy is released during an earthquake by a process most similar to which of the following analogies?

Why does an object have elastic potential energy?

A 35.0 N force stretches a bungee cord by 0.280 m. Assuming Hooke’s law applies, what is the elastic potential energy stored in the cord?

A spring which has a spring constant of k, needs 19 J of energy to be compressed [math: x] m. How much energy is needed for the same spring to be compressed by 5[math: x] m?

How much energy is stored in a spring of constant 44.3 Nm-1 when it is compressed by 10.3 cm? Give your answer to one decimal place.

How much energy is stored in a spring of constant 60.8 Nm-1 when it is compressed by 0.3 m? Give your answer to two decimal places.

In a consumer society, many adults channel creativity into buying things

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单