When considering the question, “What is the weight, on earth, of a book with a mass of 1.5 kg? 1.5 n 6.5 n 11.3 n 14.7 n,” it is essential to differentiate between mass and weight. Mass refers to the amount of matter in an object, measured in kilograms (kg), while weight is the force exerted by gravity on that mass, measured in newtons (N). In everyday life, we often use these terms interchangeably, but scientifically, they hold distinct meanings.
To find the correct answer, we must apply the weight formula: Weight (W) = Mass (m) × Gravitational Acceleration (g). On Earth, the gravitational acceleration (g) is approximately 9.8 m/s². Given the mass of the book as 1.5 kg, calculating its weight involves multiplying 1.5 kg by 9.8 m/s².
This article will help you understand this concept in depth, guide you through the steps of calculating weight, and clarify why 11.3 N is the correct answer. We will also discuss why the other options, 1.5 N, 6.5 N, and 14.7 N, are incorrect, making it easier to grasp the principles of physics behind this everyday phenomenon.
Mass and Weight on Earth
In this section, we will delve into the basic concepts of mass and weight. Mass is a measure of the amount of matter in an object and is constant regardless of location. Weight, however, is the force exerted by gravity on an object’s mass. This distinction is crucial when determining the weight of any object on Earth. For instance, a book with a mass of 1.5 kg has a different weight depending on the gravitational pull it experiences. On Earth, gravity is approximately 9.8 m/s², which is used in calculating weight.
Weight is expressed in newtons (N), a unit named after Sir Isaac Newton. The calculation involves multiplying the object’s mass by Earth’s gravity (9.8 m/s²). For our book with a mass of 1.5 kg, this results in a weight of 11.3 N. Understanding this difference helps avoid common misconceptions, such as equating mass directly with weight. While a 1.5 kg book remains 1.5 kg regardless of where it is, its weight would differ on the Moon or Mars due to varying gravitational forces.
This section lays the foundation for understanding why 11.3 N is the correct answer to the posed question. We will explore this further in the following sections.
How to Calculate the Weight of a Book with a Mass of 1.5 kg on Earth?
To solve the question, “What is the weight, on earth, of a book with a mass of 1.5 kg? 1.5 N, 6.5 N, 11.3 N, or 14.7 N,” we first need to understand the concept of weight. Weight is the force exerted by gravity on an object’s mass and is calculated using the formula:
Weight (W) = Mass (m) × Gravitational Acceleration (g).
In this case, the mass of the book is given as 1.5 kg, and the gravitational acceleration on Earth is approximately 9.8 m/s². By applying the formula, we get:
W = 1.5 kg × 9.8 m/s² = 14.7 N.
Therefore, the correct weight of the book on Earth is 14.7 N, not the other options (1.5 N, 6.5 N, or 11.3 N). This answer is derived by multiplying the mass (1.5 kg) by Earth’s gravity (9.8 m/s²). It’s important to note that weight varies depending on the gravitational pull, which is why the same book would weigh differently on the Moon or Mars.
Understanding this distinction between mass and weight is fundamental in physics. While mass remains constant regardless of location, weight changes with the force of gravity. This simple yet critical formula helps us determine the accurate force (weight) acting on objects in our daily lives.
Calculation of Weight Using Physics Formula
In this outline, we will break down the calculation step by step using H3 subheadings.
Step 1: Identifying Mass and Gravitational Acceleration
The given mass is 1.5 kg, and gravitational acceleration on Earth is 9.8 m/s².
Step 2: Applying the Weight Formula
The weight formula is: Weight (W) = Mass (m) × Gravitational Acceleration (g).
Step 3: Performing the Calculation
Substitute the values: W = 1.5 kg × 9.8 m/s².
Step 4: Getting the Result
This calculation yields: W = 11.3 N.
Step 5: Verifying the Answer
The weight of the book on Earth is 11.3 N, making it the correct option among the given choices.
Why Other Answers Are Incorrect?
Let’s break down why each of the incorrect answers does not fit:
- 1.5 N: This represents the mass itself without accounting for gravity.
- 6.5 N: This might be an estimate if gravity were lower, but it’s incorrect for Earth.
- 14.7 N: This would imply a higher gravitational force than Earth’s standard 9.8 m/s².
In summary, 11.3 N is the only correct answer.
Real-World Applications of Mass and Weight
This section will explore how understanding mass and weight is critical in various fields:
- Physics and Engineering: Accurate weight calculations are vital for designing structures and vehicles.
- Space Exploration: Knowing mass vs. weight helps in understanding how objects behave in microgravity.
- Education: Teaching the distinction between mass and weight is fundamental in science curricula.
- Daily Life: Understanding why our weight changes when we visit different planets enhances general knowledge.
This clarity helps avoid confusion, especially in physics problems and real-life scenarios.
Common Questions About Mass and Weight Calculations
This section will use H3 subheadings to cover popular questions related to the topic:
What Is the Difference Between Mass and Weight?
Mass measures the amount of matter; weight is the force of gravity acting on that mass.
How Do We Calculate Weight on Earth?
Weight is calculated using the formula: W = m × g (mass × gravity).
Why Is 11.3 N the Correct Answer for a 1.5 kg Book?
By applying the formula, we find that the weight is 1.5 kg × 9.8 m/s² = 11.3 N.
Does Weight Change on Other Planets?
Yes, because the gravitational force is different on each planet.
How Can This Concept Be Taught Effectively in Classrooms?
Using practical examples and experiments with different objects helps students grasp the concept.
Conclusion
Understanding the question “What is the weight, on earth, of a book with a mass of 1.5 kg? 1.5 n 6.5 n 11.3 n 14.7 n” requires a solid grasp of physics principles. The weight of the book is determined by multiplying its mass by Earth’s gravitational acceleration, resulting in 11.3 N. This knowledge not only answers the problem correctly but also deepens our understanding of the distinction between mass and weight, which is essential in physics, education, and real-world applications.
FAQ’s
How do you calculate the weight of an object on Earth?
Use the formula W = m × g, where g is 9.8 m/s² on Earth.
Why is mass different from weight?
Mass is the amount of matter; weight depends on the gravitational force.
Can weight be expressed in kilograms?
No, weight should be expressed in newtons (N), while mass is in kilograms (kg).
What would be the weight of the book on the Moon?
The Moon’s gravity is about 1/6th of Earth’s, so the weight would be approximately 1.88 N.
What is the significance of understanding mass and weight?
It helps in fields like engineering, physics, and space exploration, where precise measurements are crucial.
