Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Problem 15

Would the weight density of water be different on the Moon than it is on Earth? What about the mass density?

Short Answer

Expert verified
Answer: The weight density of water would be different on the Moon compared to Earth, being 1/6th of its value on Earth due to the difference in gravitational force. However, the mass density of water would remain unchanged, as it does not depend on gravity.

Step by step solution

01

Understand the difference between weight and mass

Mass is a measure of the amount of matter in an object, usually expressed in kilograms (kg). Weight, on the other hand, is the force exerted on an object due to gravity, and is usually expressed in newtons (N). The weight of an object can be calculated using the formula: Weight = Mass × Gravity. Since the gravitational force on the Moon is about 1/6th that of Earth's, the weight of an object will be different on the Moon, while its mass remains unchanged.
02

Define weight density and mass density

Weight density is the weight of a substance per unit volume, and it is usually expressed in newtons per cubic meter (N/m^3). To calculate the weight density, we can use the following formula: Weight Density = Mass Density × Gravity, where mass density (or simply 'density') is the mass of a substance per unit volume, expressed in kilograms per cubic meter (kg/m^3). The mass density does not depend on gravity and therefore remains constant, regardless of the location.
03

Compare the weight density of water on Earth and Moon

Earth's gravitational force is about 6 times greater than that on the Moon. Therefore, the weight density of water on the Moon would be 1/6th of its value on Earth. Since mass density does not change, the mass density of water on Earth and the Moon will stay the same.
04

Conclusion

The weight density of water would be different on the Moon compared to Earth due to the difference in gravitational force. It would be about 1/6th of its value on Earth. However, the mass density of water would remain unchanged, as it does not depend on gravity.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The same bicycle tire pump is used to inflate a mountain bike tire to 40 psi and then a road bike tire to 100 psi. What difference would the user notice when using the pump on the two tires?

How does a perfume atomizer make use of Bernoulli’s principle?

Why does the buoyant force always act upward?

Explain how a barometer can be used to measure altitude.

The mass density of a mixture of ethyl alcohol and water is \(950 \mathrm{~kg} / \mathrm{m}^{3} .\) Is the mixture mostly water, mostly alcohol, or about half and half? What is your reasoning?
See all solutions

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Read Explanation

Kinematics Physics

Read Explanation

Energy Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Torque and Rotational Motion

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free