https://file.aiquickdraw.com/mathbot/file/1730886109316vumhpd4e.jpg

Let's go through each question one by one.

### Question 4
**A kWh is how many joules?**

1 kilowatt-hour (kWh) is equivalent to 3,600,000 joules. This is because:
- 1 kWh = 1000 watts * 3600 seconds = 3,600,000 joules.

So, the correct answer is:
- **3,600,000**

### Question 5
**Select the equivalent of a Joule.**

A joule (J) is defined as a newton meter (Nm), which is the work done by a force of one newton moving an object one meter in the direction of the force.

Thus, the correct answer is:
- **Nm**

### Question 6
**How much energy, in MJ, is needed to move a box 3.4 km if the drag force is 28 kN?**

To find the energy required (in joules), we can use the formula:
\[
\text{Work (Energy)} = \text{Force} \times \text{Distance}
\]

- Given Force \( F = 28 \, \text{kN} = 28,000 \, \text{N} \)
- Distance \( d = 3.4 \, \text{km} = 3,400 \, \text{m} \)

\[
\text{Energy} = 28,000 \times 3,400 = 95,200,000 \, \text{J}
\]

To convert this into megajoules (MJ):
\[
\text{Energy} = 95.2 \, \text{MJ}
\]

So, the answer is:
- **95.2 MJ**

---

Would you like more details on any of these questions?

Here are some related questions to explore:

1. How do you convert between different units of energy like joules, kilowatt-hours, and calories?
2. What are other equivalent units of energy besides Nm for a joule?
3. Why is the conversion from kWh to joules so large?
4. How is work calculated when dealing with varying forces over a distance?
5. What are some real-world applications of calculating work or energy in terms of drag force?

**Tip:** When working with unit conversions, remember to keep track of your prefixes (like kilo, mega) and base units to ensure accuracy.

A kWh is how many joules? Select the equivalent of a Joule. How much energy, in MJ, is needed to move a box 3.4 km if the drag force is 28 kN?

Learn how to convert kilowatt-hours (kWh) to joules, identify equivalent units for a joule, and calculate the energy required to move a box over a distance with a given drag force. This example covers fundamental energy conversion and unit conversion principles.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation