Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 11, Problem 81GP
Suppose a star the size of our Sun, but with mass 8.0 times as great, were rotating at a speed of 1.0 revolution every 9.0 days. If it were to undergo gravitational collapse to a neutron star of radius 12 km, losing
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Chapter 11 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 11.1 - CONCEPTUAL EXAMPLE 115 Spinning bicycle wheel....Ch. 11.1 - CONCEPTUAL EXAMPLE 115 Spinning bicycle wheel....Ch. 11.1 - Suppose you are standing on the edge of a large...Ch. 11.2 - For the vectors A and B in the plane of the page...Ch. 11.2 - Prob. 1EECh. 11 - If there were a great migration of people toward...Ch. 11 - Can the diver of Fig. 112 do a somersault without...Ch. 11 - Suppose you are sitting on a rotating stool...Ch. 11 - When a motorcyclist leaves the ground on a jump...Ch. 11 - Suppose you are standing on the edge of a large...
Ch. 11 - A shortstop may leap into the air to catch a ball...Ch. 11 - If all the components of the vectors V1 and V2...Ch. 11 - Name the four different conditions that could make...Ch. 11 - A force F=Fj is applied to an object at a position...Ch. 11 - A particle moves with constant speed along a...Ch. 11 - If the net force on a system is zero, is the net...Ch. 11 - Explain how a child pumps on a swing to make it go...Ch. 11 - Describe the torque needed if the person in Fig....Ch. 11 - An astronaut floats freely in a weightless...Ch. 11 - On the basis of the law of conservation of angular...Ch. 11 - A wheel is rotating freely about a vertical axis...Ch. 11 - Consider the following vector quantities:...Ch. 11 - How does a car make a right turn? Where does the...Ch. 11 - The axis of the Earth processes with a period of...Ch. 11 - Why is it that at most locations on the Earth, a...Ch. 11 - In a rotating frame of reference. Newtons first...Ch. 11 - In the battle of the Falkland Islands in 1914, the...Ch. 11 - Wha is the anugular momentum of a 0.210-kg ball...Ch. 11 - (I) (a) What is the angular momentum of a 2.8-kg...Ch. 11 - (II) A person stands, hands at his side, on a...Ch. 11 - (II) A figure skater can increase her spin...Ch. 11 - (II) A diver (such as the one shown in Fig. 112)...Ch. 11 - (II) A uniform horizontal rod of mass M and length...Ch. 11 - (II) Determine the angular momentum of the...Ch. 11 - (II) (a) What is the angular momentum of a figure...Ch. 11 - (II) A person stands on a platform, initially at...Ch. 11 - (II) A uniform disk turns at 3.7 rev/s around a...Ch. 11 - (II) A person of mass 75 kg stands at the center...Ch. 11 - (II) A potters wheel is rotating around a vertical...Ch. 11 - (II) A 4.2-m-diameter merry-go-round is rotating...Ch. 11 - (II) A woman of mass m stands at the edge of a...Ch. 11 - (II) A nonrotating cylindrical disk of moment of...Ch. 11 - (II) Suppose our Sun eventually collapses into a...Ch. 11 - (III) Hurricanes can involve winds in excess of...Ch. 11 - (III) An asteroid of mass 1.0 105 kg, traveling...Ch. 11 - (III) Suppose a 65-kg person stands at the edge of...Ch. 11 - (I) If vector A points along the negative x axis...Ch. 11 - (I) Show that (a) i i = j j = k k = 0. (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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- Two stars of masses M and m, separated by a distance d, revolve in circular orbits about their center of mass (Fig. P11.50). Show that each star has a period given by T2=42d3G(M+m) Proceed as follows: Apply Newtons second law to each star. Note that the center-of-mass condition requires that Mr2 = mr1, where r1 + r2 = d.arrow_forwardThe Sun’s mass is 2.01030kg , its radius is 7.0105km , and it has a rotational period of approximately 28 days. If the Sun should collapse into a white dwarf of radius 3.5103km , what would its period be if no mass were ejected and a sphere of uniform density can model the Sun both before and after?arrow_forwardTwo planets X and Y travel counterclockwise in circular orbits about a star as shown in Figure P11.14. The radii of their orbits are in the ratio 3:1. At one moment, they are aligned as shown in Figure P11.14a, making a straight line with the star. During the next five years, the angular displacement of planet X is 90.0 as shown in Figure P11.14b. What is the angular displacement of planet Y at this moment?arrow_forward
- Pulsars. When a star with a mass at least ten times that of the Sun explodes outward in a supernova, its core can be collapsed into a pulsar, which is a spinning star that emits electromagnetic radiation (radio waves or light) in two tight bears in opposite directions. If a beam sweeps across Earth during the rotation, we can detect repeated pulses of the radiation, one per revolution. (a) The first pulsar was discovered by Jocelyn Bell Burnell and Antony Hewish in 1967; its pulses are separated by 1.3373 s. What is its angular speed in revolutions per second? (b) To date, the fastest spinning pulsar has an angular speed of 716 rev/s. What is the separation of its detected pulses in milliseconds? (a) Number (b) Number Hint 1345.98 eTextbook and Media Save for Later 2510 Units Units revis ms Attempts: 1 of 5 used Submit Answerarrow_forwardConsider a star the size of our Sun (RSun = 696,340 km) , but with a 9.0 times greater mass that rotates with a speed of 1.0 rev every 5 days. If this star underwent a gravitational collapse becoming a neutron star with a radius of 15 km and losing 2/3 of its mass in the process, find its new angular velocity.arrow_forwardA star with mass M and radius R collides head-on with another star of mass ¾*M and radius 4/5*R, and they coalesce to form a new start at rest whose radius is 6/5*R. Assume that initially the colliding stars had angular velocities with opposite directions but the same magnitude w. What is the magnitude and direction of the final’s stars angular velocity? (Express the magnitude as a fraction of w.)arrow_forward
- A uniform, spherical cloud of interstellar gas has mass 1.8×1030 kg and radius 1.2×1013 m, and is rotating with period 1.5×106 years. If the cloud collapses to form a star 7.4×108 m in radius, what will be the star's rotation period?arrow_forwardThe rate at which a nebular cloud rotates increases as the cloud collapses to form systems of stars and planets. Consider a small segment of a nebular cloud with a mass m of 1.9 x 102' kg, tangential velocity vinitial equal to 6.8 km s located at an orbital distance rinitial = 2.5 x 104 km. After the cloud collapses, the same small segment is located at an orbital distance rfinal = 3.2 x 10³ km. Calculate the change of the rotational velocity, Aw, for the cloud segment, assuming perfectly circular orbits. Perform your work and report your solution using two significant figures. Δω rad s-1arrow_forwardQuestion 1 a. Suppose the Sun contracts (collapses) to a pulsar with radius 15 km. Estimate the period of rotation of the pulsar. The period of revolution of the Sun about its axis is 25.38 days (1 day = 24 hours). Compare the kinetic energies of rotation of the pulsar and of the Sun. Figure 1: Question 1(a) A pulsar star system b. A wheel on an extremely low friction slanted surface will slide without rotating. However, if the same surface is rough and having some friction the wheel will roll down (with rotation). Explain why, using free body diagram.arrow_forward
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