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Chapter 1: Problem 8

What are the units of measurement for weight and for mass?

Short Answer

Expert verified
Mass is typically measured in kilograms (kg) or grams (g), while weight is measured in newtons (N) or pounds-force (lbf).

Step by step solution

01

Define Mass

Mass is a measure of the amount of matter in an object, typically measured in kilograms (kg), grams (g), or milligrams (mg) in the metric system, and in pounds (lb) or ounces (oz) in the US customary and British imperial systems.
02

Define Weight

Weight is a measure of the force exerted on an object's mass by gravity. It is measured in newtons (N) in the International System of Units (SI), and in pounds-force (lbf) or ounces-force (ozf) in the US customary and British imperial systems.

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Key Concepts

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

Mass and Matter
Mass is a fundamental property of matter, which is anything that occupies space and has mass. Unlike weight, mass does not change with location, even though weight changes with changes in gravity.

For instance, a 1-kilogram mass will always be 1 kilogram whether it's on Earth, the Moon, or floating in space, because it is a measure of the amount of matter in an object, not influenced by gravity. This is crucial in sciences like chemistry and physics, where consistent measurements are necessary.
Metric System
The metric system is a decimal-based system of measurement used around the world. It is known for its simplicity and ease of conversion between units.

For example, mass is typically measured in kilograms, grams, and milligrams, with 1000 milligrams in a gram and 1000 grams in a kilogram. This simplicity makes calculations much more straightforward, aiding in both education and professional applications.
International System of Units
The International System of Units (SI) is the modern form of the metric system and is the most widely used system of measurement for science and commerce.

The SI unit for mass is the kilogram (kg), and for weight, it's the newton (N). The kilogram is defined by the physical properties of a specific platinum-iridium alloy sample stored in France, while one newton is the force needed to accelerate one kilogram of mass at the rate of one meter per second squared.
Gravity and Weight
Weight is a force that results from the acceleration due to gravity acting on mass. As gravity varies slightly across the Earth's surface and significantly in space, weight can also vary.

On Earth, the average acceleration due to gravity is approximately 9.81 meters per second squared, which is why an object's weight will be the product of its mass in kilograms and this acceleration, giving a force in newtons. Remembering that weight is a variable measure unlike mass, helps prevent confusing the two in scientific and everyday contexts.

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Most popular questions from this chapter

(a) Show that the average speed of a tennis ball is \(48 \mathrm{~m} / \mathrm{s}\) when it travels the full length of the court, \(24 \mathrm{~m}\), in \(0.5 \mathrm{~s}\). (b) How would greater air resistance affect the travel time?

How much tension is in a vertical rope that holds a \(20-\mathrm{N}\) bag of apples at rest?

Show that the average speed of a rabbit that runs a distance of \(30 \mathrm{~m}\) in a time of \(2 \mathrm{~s}\) is \(15 \mathrm{~m} / \mathrm{s}\).

Where is your weight greater, on Earth or on the Moon? How about your mass?

What is the acceleration of a Tesla automobile that maintains a constant velocity of \(150 \mathrm{~km} / \mathrm{h}\) ?
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