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Chapter 3: Problem 1

Kilometers per hour. A car is driving at \(144 \mathrm{~km} / \mathrm{h}\). Find the velocity in \(\mathrm{m} / \mathrm{s}\).

Short Answer

Expert verified
40 m/s

Step by step solution

01

Understand the Conversion Factor

To convert from kilometers per hour (km/h) to meters per second (m/s), we use the conversion factor: 1 km/h = 0.27778 m/s.
02

Set Up the Conversion

We need to multiply the given velocity in km/h by the conversion factor. The formula can be written as follows: \[ \text{Velocity in m/s} = \text{Velocity in km/h} \times 0.27778 \]
03

Perform the Calculation

Plug in the given velocity into the formula: \[ 144 \text{ km/h} \times 0.27778 \text{ m/s per km/h} \]
04

Calculate the Result

Now, calculate the product: \[ 144 \times 0.27778 = 40 \text{ m/s} \]
05

Write the Answer

The velocity of the car in meters per second is 40 m/s.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Velocity Conversion
In physics, converting velocity from one unit to another is a common task. In this exercise, we convert kilometers per hour (km/h) to meters per second (m/s).
The conversion factor for this is crucial: 1 km/h = 0.27778 m/s.
This means that for every kilometer per hour, it equals approximately 0.27778 meters per second.
Understanding and applying this conversion factor correctly allows us to convert any velocity given in km/h to m/s accurately.
Metric Units
The metric system is a standardized system of measurement used internationally.
Common units in this system include meters for distance, kilograms for mass, and seconds for time.
When dealing with velocity in the metric system, the most commonly used units are kilometers per hour (km/h) and meters per second (m/s).
Knowing how to convert between these units is essential in physics as it ensures consistency and accuracy in calculations.
Physics Calculations
In physics, precise calculations are vital. They help us understand and describe the physical world.
When calculating velocity, it is essential to ensure that all units are consistent.
In our example, a car traveling at 144 km/h needs a conversion to m/s.
This involves understanding the relationship between the units and performing the appropriate multiplication.
Converting units correctly ensures that further calculations based on this velocity will be accurate.
Step-by-Step Solutions
Breaking down physics problems into step-by-step solutions makes them easier to understand and solve.
The given exercise is broken into five clear steps:
1. Understanding the conversion factor.
2. Setting up the conversion.
3. Performing the calculation.
4. Calculating the result.
5. Writing the final answer.
Each step builds on the previous one, guiding you through the process and ensuring you arrive at the correct solution.
This method not only helps in solving the current problem but also provides a framework for tackling similar problems in the future.

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Most popular questions from this chapter

Bacterial volume. A bacteria is like a cylinder with length \(4 \mu \mathrm{m}\), and radius \(1 \mu \mathrm{m}\). (a) Find its volume in \(\mu \mathrm{m}^{3}\). (b) Find its volume in \(m^{3}\). (c) Find its volume in liters.

Ruler length. You have a platinum-iridium ruler that you have measured to be \(0.11236 \mathrm{~m}\) using a high precision method. You use the ruler to measure the length of your desk, and find that the ruler fits about 20 times across the desk. What is the length of your desk?

Sphere mass and volume. A small steel sphere has a radius of \(1.2 \mathrm{~mm}\). (a) What is the volume of the sphere? (b) The density of the particular steel alloy used is \(\rho=7782 \mathrm{~kg} / \mathrm{m}^{3}\). What is the mass of the sphere?

Acceleration of gravity. The acceleration of gravity is approximately \(g=\) \(9.8 \mathrm{~m} / \mathrm{s}^{2}\) (a) Find the acceleration of gravity in feet per second squared, \(\mathrm{ft} / \mathrm{s}^{2} .1 \mathrm{foot}\) is \(0.3048 \mathrm{~m}\). (b) Find the acceleration of gravity in kilometers per hour squared, \(\mathrm{km} / \mathrm{h}^{2}\).

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