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.

Question

BlackTom AI · Accepted Answer

To determine the energy stored in a compressed spring, we use the formula for elastic potential energy: U = (1/2) k x^2.

First, identify the given values: spring constant k = 44.3 N/m and compression x = 10.3 cm. Convert the displacement to meters: x = 10.3 cm = 0.103 m.

Compute x^2: (0.103 m)^2 = 0.010609 m^2.

Multiply by the spring constant: k x^2 = 44.3 × 0.010609 ≈ 0.46996 J.

Apply the 1/2 factor: U = (1/2) × 0.46996 J ≈ 0.23498 J.

Round to one decimal place as requested: 0.23498 J ≈ 0.2 J.

Therefore, the energy stored in the spring is about 0.2 joules. If you were to check the intermediate figures, you’d see the critical steps are ensuring correct unit conversion (cm to m), squaring the displacement, multiplying by k, and then applying the one-half factor followed by proper rounding.

MUF0121 Physics Unit 1 - Semester 2, 2025 6.10 Energy

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.

View Explanation

Log in for full answers

Similar Questions

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 60.8 Nm-1 when it is compressed by 0.3 m? Give your answer to two decimal places.

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?

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

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler