Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q10DQ (page 459)

If a pendulum has a period of 2.5 s on earth, what would be its period in a space station orbiting the earth? If a mass hung from a vertical spring has a period of 5.0 s on earth, what would its period be in the space station? Justify your answers.

Short Answer

Expert verified

The pendulum would not swing back and forth in space.

The same period as in Earth, 5.0 s .

Step by step solution

01

Determine the formula for SHM

The period of simple pendulum having small amplitude is given by

T=2ττLg

Where L is pendulum length and g is acceleration due to gravity.

02

Determine the period in the space and space station

The earth's orbit, there is no gravity i.e. g=0. Hence the period of simple pendulum is infinite in the earth's orbit. This means there is no restoring force to swing the pendulum back and forth.

Hence from equation the period of simple pendulum in the earth's orbit

T=2ττL0=∞

The period of spring-mass system is given by

T=2ττmk

The period of a vertical spring-mass system is independent of the gravity. Hence the period of the vertical spring-mass remains same in the space station i.e.

Tspace=5s

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

How many gallons of gasoline are used in the United States in one day? Assume that there are two cars for every three people, that each car is driven an average of 10,000 miles per year, and that the average car gets 20 miles per gallon.

Given two vectors A→=4.00i^+7.00j^ and B→=5.00i^−7.00j^, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A→−B→; and (c) find the magnitude and direction of the vector difference A→−B→. (d) In a vector diagram showA→,B→ and A→−B→, and show that your diagram agrees qualitatively with your answer to part (c).

Can you find a vector quantity that has a magnitude of zero but components that are not zero? Explain. Can the magnitude of a vector be less than the magnitude of any of its components? Explain.

The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2. Use 1 ft = 30.48 cm to express this acceleration in units of m/s2. (c) The density of water is 1.0 g/cm3. Convert this density to units of kg/m3.

In an experiment, a shearwater (a seabird) was taken from its nest, flown 5150 km away, and released. The bird found its way back to its nest 13.5 days after release. If we place the origin at the nest and extend the +x-axis to the release point, what was the bird’s average velocity in (a) for the return flight and (b) for the whole episode, from leaving the nest to returning?
See all solutions

Recommended explanations on Physics Textbooks

Medical Physics

Read Explanation

Electrostatics

Read Explanation

Measurements

Read Explanation

Physics of Motion

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Force

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