Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 10, Problem 55P
(a)
To determine
The time required to fire the rockets.
(b)
To determine
The number of revolution required the station will make during this firing.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A space station is constructed in the shape of a wheel 20 m in diameter, with essentially all of its 5.2×105 kg mass at the rim. Once the station is completed, it is set rotating at a rate that requires an object at the rim to have radial acceleration g , thereby simulating Earth's surface gravity. This is accomplished using two small rockets, each with 130 N thrust, that are mounted on the rim of the station. How long will it take to reach the desired spin rate, and how many revolutions will the station make in this time?
You are to help design a space probe that will land on Titan, a moon of Saturn. The probe also has to launch itself from the surface of that moon as it will come back to Earth with a rock sample. Mass of Titan: 1.35 x 1023 kg, Radius of Titan: 2.574 x 106 m. The sample will have a mass of 0.1 kg, and the rocket that will return it will have a mass of 200 kg (without the fuel). Your engine can fire with 18,800 N.
- What is the gravitational acceleration on Titan in m/s2?
- What will be the weight of the rocket in Newtons on Titan?
- What velocity must the rocket reach in order to escape Titan?
- How long would it take the engine to accelerate the rocket to escape velocity? (this assumes that the engine is accelerating the rocket only; we aren’t including the mass of the fuel)
Using the information given (and what you figured out) use the following formula to find the total ∆v that your rocket can produce.
- Is the ∆v enough to get from 0 m/s to escape velocity?
- If it isn’t, plug in…
Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.4 rev/s. If such a star has a radius of 22738 km. For the material on this neutron star's surface to remain in place during the rapid rotation, its minimum mass should be ?kg
Chapter 10 Solutions
Essential University Physics (3rd Edition)
Ch. 10.1 - A wheel undergoes constant angular acceleration,...Ch. 10.2 - The forces in Figs. 10.5 and 10.6 all have the...Ch. 10.3 - Would the rotational inertia of the two-mass...Ch. 10.3 - Explain why the rotational inertia of the solid...Ch. 10.3 - The figure shows two identical masses m connected...Ch. 10.4 - A wheel is rotating at 100 rpm. To spin it up to...Ch. 10.5 - The wheels of trains, subway cars, and other rail...Ch. 10 - Do all points on a rigid, rotating object have the...Ch. 10 - Prob. 2FTDCh. 10 - Why doesnt it make sense to talk about a bodys...
Ch. 10 - Two forces act on an object, but the net force is...Ch. 10 - Is it possible to apply a counterclockwise torque...Ch. 10 - A solid sphere and a hollow sphere of the same...Ch. 10 - A solid cylinder and a hollow cylinder of the same...Ch. 10 - A circular saw lakes a long time to stop rotating...Ch. 10 - A solid sphere and a solid cube have the same...Ch. 10 - The lower part of a horses leg contains...Ch. 10 - Given a fixed amount of a material, what shape...Ch. 10 - A ball starts from rest and rolls without slipping...Ch. 10 - Exercises and Problems Exercises Section 10.1...Ch. 10 - Whats the linear speed of a point (a) on Earths...Ch. 10 - Express each of the following in radians per...Ch. 10 - A 25-cm-diameter circular saw blade spins at 3500...Ch. 10 - A compact discs rotation varies from about 200 rpm...Ch. 10 - During startup, a power plants turbine accelerates...Ch. 10 - A merry-go-round starts front rest and accelerates...Ch. 10 - Section 10.2 Torque A 320-N frictional force acts...Ch. 10 - A 110-N m torque is needed to start a revolving...Ch. 10 - A car tune-up manual calls for tightening the...Ch. 10 - A 55-g mouse runs out to the end of the 17-cm-long...Ch. 10 - You have your bicycle upside down for repairs. The...Ch. 10 - Section 10.3 Rotational Inertia and the Analog of...Ch. 10 - The shaft connecting a power plants turbine and...Ch. 10 - The chamber of a rock-tumbling machine is a hollow...Ch. 10 - A wheels diameter is 92 cm, and its rotational...Ch. 10 - Three equal masses m are located at the vertices...Ch. 10 - (a) Estimate Earths rotational inertia, assuming...Ch. 10 - A neutron star is an extremely dense, rapidly...Ch. 10 - A 108-g Frisbee is 24 cm in diameter and has half...Ch. 10 - At the MIT Magnet Laboratory, energy is stored in...Ch. 10 - Section 10.4 Rotational Energy A 25-cm-diameter...Ch. 10 - Humankind uses energy at the rate of about 16 TW....Ch. 10 - A 150-g baseball is pitched at 33 m/s spinning at...Ch. 10 - (a) Find the energy stored in the flywheel of...Ch. 10 - A solid 2.4-kg sphere is rolling at 5.0 m/s. Find...Ch. 10 - What fraction of a solid disks kinetic energy is...Ch. 10 - A rolling ball has total kinetic energy 100 J, 40...Ch. 10 - A wheel turns through 2.0 revolutions while...Ch. 10 - Youre an engineer designing kitchen appliances,...Ch. 10 - An eagle with 2.1-m wingspan flaps its wings 20...Ch. 10 - A compact disc (CD) player varies the rotation...Ch. 10 - You rev your cars engine and watch the tachometer...Ch. 10 - A circular saw spins at 5800 rpm, and its...Ch. 10 - Full-circle rotation is common in mechanical...Ch. 10 - A pulley 12 cm in diameter is free to rotate about...Ch. 10 - A square frame is made from four thin rods, each...Ch. 10 - A thick ring has inner radius 12R, outer radius R,...Ch. 10 - A uniform rectangular flat plate has mass M and...Ch. 10 - Each propeller on a King Air twin-engine airplane...Ch. 10 - The cellular motor driving the flagellum in E....Ch. 10 - Verify by direct integration Table 10.2s entry for...Ch. 10 - Prob. 55PCh. 10 - A skaters body has rotational inertia 4.2 kgm2...Ch. 10 - A 2.4-kg block rests on a slope and is attached by...Ch. 10 - Youve got your bicycle upside down for repairs,...Ch. 10 - A potters wheel is a stone disk 90 cm in diameter...Ch. 10 - A ships anchor weighs 5.0kN. Its cable passes over...Ch. 10 - Starting from rest, a hollow ball rolls down a...Ch. 10 - A hollow ball rolls along a horizontal surface at...Ch. 10 - As an automotive engineer, youre charged with...Ch. 10 - A solid ball of mass M and radius R starts at rest...Ch. 10 - A disk of radius R has an initial mass M. Then a...Ch. 10 - A 50-kg mass is tied to a massless rope wrapped...Ch. 10 - Each wheel of a 320-kg motorcycle is 52 cm in...Ch. 10 - A solid marble starts from rest and rolls without...Ch. 10 - A disk of radius R and thickness w has a mass...Ch. 10 - The disk in Fig. 10.29 is rotating freely about a...Ch. 10 - Youre asked to check the specifications for a wind...Ch. 10 - In bicycling, each foot pushes on the pedal for...Ch. 10 - Prob. 73PCh. 10 - A thick ring of mass M has inner radius R1 and...Ch. 10 - A thin rod of length L and mass M is free to pivot...Ch. 10 - The local historical society has asked your...Ch. 10 - Youre skeptical about a new hybrid car that stores...Ch. 10 - Figure 10.31 shows an object of mass M with one...Ch. 10 - Figure 10.32 shows an apparatus used to measure...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- It is proposed that future space stations create an artificial gravity by rotating. Suppose a space station in constructed as a 1010.0 m diameter cylinder that rotates about its axis. The inside surface is the deck of the space station. What rotation period (in s) will provide "normal" gravitational acceleration of 9.80 m/s2 at deck level?arrow_forwardA rocket, launched from the Earth, shuts off its engines when its speed is 5.25 km/s. It reaches a maximum altitude of 2850 km before it falls back to Earth. At what altitude did the rocket's engines shut off? The mass and radius of the Earth are 5.97 1024 kg and 6.37 106 m, respectively.arrow_forwardNow we have a rod-shaped space station of length 1484 m and mass 2.04 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 1.36 rpm. If the length of the rod is reduced to 1.36 m, what will be the new rotation rate of the space station? 2.60 rpm 2.08 rpm 3.38 rpm 1.66 rpmarrow_forward
- Certain neutron stars (extremely dense stars) are believed to be rotating at about 3.5 rev/s. If such a star has a radius of 23527 km. For the material on this neutron star's surface to remain in place during the rapid rotation, its minimum mass should be ?answer in kgarrow_forwardA proposed space station includes living quarters in a circular ring 63.7 m in diameter. At what angular speed should the ring rotate so the occupants feel 0.636 g where g is the gravitational acceleration on the surface of the Earth?arrow_forwardEngineers and science fiction writers have proposed designing space stations in the shape of a rotating wheel or ring, which would allow astronauts to experience a sort of artificial gravity when walking along the inner wall of the station's outer rim. 2 (a) Imagine one such station with a diameter of 123 m, where the apparent gravity is 2.20 m/s at the outer rim. How fast is the station rotating in revolutions per minute? rev/min (b) What If? How fast would the space station have to rotate, in revolutions per minute, for the artificial gravity that is produced to equal that at the surface of the Earth, 9.80 m/s? rev/minarrow_forward
- A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. Suppose a pulsar has a period of rotation of T = 0.0985 s that is increasing at the rate of 7.64 x 10-8 s/y. (a) What is the pulsar's angular acceleration αα? (b) If αα is constant, how many years from now will the pulsar stop rotating? (c) Suppose the pulsar originated in a supernova explosion seen 987 years ago. Assuming constant αα, find the initial T.arrow_forwardCertain neutron stars (extremely dense stars) are believed to be rotating at about 1.1 rev/s. If such a star has a radius of 20 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation? Number Units Use correct number of significant digits; the tolerance is +/-2%arrow_forwardLong-term space missions require some form of artificial gravity to prevent astronauts losing bone mass. One method would be to use a tether to connect a spent booster to the astronauts’ capsule and set the system rotating to provide artificial gravity in the noninertial frame of the capsule. Tests suggest that rotation rates less than 2 rpm are needed to avoid the astronauts experiencing inner-ear problems as they move about. About how long must the tether be, if you need an apparent gravitational field in the capsule of at least half of the earth’s field? (Assume that the capsule and booster have roughly the same mass.) The tether must be about ______m long.arrow_forward
- A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. Suppose a pulsar has a period of rotation of T = 0.0379 s that is increasing at the rate of 3.61 x 10-6 s/y. (a) What is the pulsar's angular acceleration a? (b) If a is constant, how many years from now will the pulsar stop rotating? (c) Suppose the pulsar originated in a supernova explosion seen 777 years ago. Assuming constant a, find the initial T. (a) Number i Units (b) Number i Units (c) Number i Unitsarrow_forwardYou have a horizontal grindstone (a disk) that is 87 kg, has a 0.31 m radius, is turning at 94 rpm (in the positive direction), and you press a steel axe against the edge with a force of 23 N in the radial direction. The kinetic coefficient of friction between steel and stone is 0.20. What is the number of turns, N, that the stone will make before coming to rest?arrow_forwardA 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.20 m/s. The radial force on the mass isarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill