Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780136139225
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Textbook Question
Chapter 11, Problem 1Q

If there were a great migration of people toward the Earth’s equator, would the length of the day (a) get longer because of conservation of angular momentum; (b) get shorter because of conservation of angular momentum; (c) get shorter because of conservation of energy; (d) get longer because of conservation of energy; or (e) remain unaffected?

Expert Solution & Answer
Check Mark
To determine

The change that happens to the length of the day if there were a great migration of people toward the Earth’s equator.

Answer to Problem 1Q

Option (a)

Explanation of Solution

Moment of inertia is the sum of the products of the mass of each particle in a body with the square of its distance from the axis of rotation. The migration of more people towards the earth’s equator may result in the accumulation of more mass from the axis of rotation. As a result the moment of inertia of the Earth would increase.

The relation between the angular momentum and the moment of inertia is given by,

    L=Iω

Here, L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

According to the conservation of angular momentum, the increase in moment of inertia will automatically decrease the Earths angular velocity. Thus the length of the day would increase.

Conclusion:

Since the angular momentum and the angular velocity are related option (a) is the correct answer.

Length of the day is increasing as a result of angular momentum so option (b) is the incorrect answer.

Since the length of the day is increasing option (c) is the correct answer.

Since the length of the day does not depends on the conservation of energy option (d) is incorrect.

The length of the day is increasing due to the angular momentum option (e) is incorrect.

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Chapter 11 Solutions

Physics for Scientists and Engineers with Modern Physics

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(b) i j...Ch. 11 - (I) The directions of vectors A and B are given...Ch. 11 - (II) What is the angle between two vectorsA and...Ch. 11 - (II) A particle is located at r=(4.0i+3.5j+6.0k)m....Ch. 11 - (II) Consider a particle of a rigid object...Ch. 11 - (II) (a) Show that the cross product of two...Ch. 11 - (II) An engineer estimates that under the most...Ch. 11 - (II) The origin of a coordinate system is at the...Ch. 11 - (II) Use the result of Problem 26 to determine (a)...Ch. 11 - (III) Show that the velocity v of any point in an...Ch. 11 - (III) Let A,B, and Cbe three vectors, which for...Ch. 11 - (I) What are the x, y, and z components of the...Ch. 11 - (I) Show that the kinetic energy K of a particle...Ch. 11 - (I) Calculate the angular momentum of a particle...Ch. 11 - (II) Two identical particles have equal but...Ch. 11 - (II) Determine the angular momentum of a 75-g...Ch. 11 - (II) A particle is at the position (x, y, z) =...Ch. 11 - Prob. 38PCh. 11 - (II) Four identical particles of mass m are...Ch. 11 - (II) Two lightweight rods 24 cm in length are...Ch. 11 - (II) Figure 1135 shows two masses connected by a...Ch. 11 - (III) A thin rod of length and mass M rotates...Ch. 11 - (III) Show that the total angular momentum L=ripi...Ch. 11 - (III) What is the magnitude of the force F exerted...Ch. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - (II) A thin rod of mass M and length is suspended...Ch. 11 - (II) A uniform stick 1.0 m long with a total mass...Ch. 11 - (II) Suppose a 5.8 1010 kg meteorite struck the...Ch. 11 - (III) A 230-kg beam 2.7 m in length slides...Ch. 11 - (III) A thin rod of mass M and length rests on a...Ch. 11 - (III) On a level billiards table a cue ball,...Ch. 11 - (II) A 220-g top spinning at 15 rev/s makes an...Ch. 11 - (II) A toy gyroscope consists of a 170-g disk with...Ch. 11 - Prob. 55PCh. 11 - Prob. 56PCh. 11 - (II) A bicycle wheel of diameter 65 cm and mass m...Ch. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - (II) Suppose the man at B in Fig. 1126 throws the...Ch. 11 - (II) For what directions of velocity would the...Ch. 11 - (III) We can alter Eqs. 1114 and 1115 for use on...Ch. 11 - (III) An ant crawls with constant speed outward...Ch. 11 - A thin string is wrapped around a cylindrical hoop...Ch. 11 - A particle of mass 1.00 kg is moving with velocity...Ch. 11 - A merry-go-round with a moment of inertia equal to...Ch. 11 - Why might tall narrow SUVs and buses be prone to...Ch. 11 - A spherical asteroid with radius r = 123 m and...Ch. 11 - Prob. 69GPCh. 11 - The position of a particle with mass m traveling...Ch. 11 - A boy rolls a tire along a straight level street....Ch. 11 - A 70 kg person stands on a tiny rotating platform...Ch. 11 - Water drives a waterwheel (or turbine) of radius R...Ch. 11 - The Moon orbits the Earth such that the same side...Ch. 11 - A particle of mass m uniformly accelerates as...Ch. 11 - A projectile with mass m is launched from the...Ch. 11 - Most of our Solar Systems mass is contained in the...Ch. 11 - Prob. 78GPCh. 11 - Competitive ice skaters commonly perform single,...Ch. 11 - A radio transmission tower has a mass of 80 kg and...Ch. 11 - Suppose a star the size of our Sun, but with mass...Ch. 11 - A baseball bat has a sweet spot where a ball can...Ch. 11 - (II) A uniform stick 1.00 m long with a total mass...
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