EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100454897
Author: Jewett
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 39, Problem 39.22P
Review. In 1963, astronaut Gordon Cooper orbited the Earth 22 times. The press stated that for each orbit, he aged two-millionths of a second less than he would have had he remained on the Earth. (a) Assuming Cooper was 160 km above the Earth in a circular orbit, determine the difference in elapsed time between someone on the Earth and the orbiting astronaut for the 22 orbits. You may use the approximation
for small x. (b) Did the press report accurate information? Explain.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Kepler's third law states that for any object in a gravitational orbit,
P2∝a3P2∝a3
where PP is the orbital period of the object and aa is the average distance between the object and what it is orbiting.
In our Solar System, the natural units are distances measured in astronomical units (A.U.) and orbital periods measured in years. This can be seen for the Earth-Sun system which has an orbital period P=1P=1 year and an average distance a=1a=1 AU. Using these natural units in the Solar System, the proportionality becomes an equality, so for our Solar System:
(Pyears)2=(aA.U.)3(Pyears)2=(aA.U.)3 .
Using your mathematical prowess, determine what the orbital period in years would be for an asteroid that was discovered orbiting the Sun with an average distance of 25 astronomical units.
Kepler's third law states that the relationship between the mean distance d (in astronomical units) of a planet from the Sun and the time t (in years) it takes the planet to orbit the Sun can be given by d^3 = t^2. (A). It takes Venus 0.616 years to orbit the Sun. Find the mean distance of Venus from the Sun (in astronomical units). (B). The mean distance of Jupiter from the Sun is 5.24 astronomical units. How many years does it take Jupiter to orbit the Sun?
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the
ground. If the Ferris wheel makes one complete revolution every 18 s, find an equation
that gives the height above the ground of a person on the Ferris wheel as a function of
time. (Let y be the height above the ground in meters and let t be the time in seconds.
Assume that when t = 0 the person is 11 m above the ground and going up.)
y =
10 m
-1 m
Chapter 39 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 39 - Which observer in Figure 38.1 sees the balls...Ch. 39 - A baseball pitcher with a 90-mi/h fastball throws...Ch. 39 - Suppose the observer O on the train in Figure 38.6...Ch. 39 - A crew on a spacecraft watches a movie that is two...Ch. 39 - Suppose astronauts are paid according to the...Ch. 39 - You are packing for a trip to another star. During...Ch. 39 - You are observing a spacecraft moving away from...Ch. 39 - You are driving on a freeway at a relativistic...Ch. 39 - The following pairs of energiesparticle 1: E, 2E;...Ch. 39 - (i) Does the speed of an electron have an upper...
Ch. 39 - A spacecraft zooms past the Earth with a constant...Ch. 39 - As a car heads down a highway traveling at a speed...Ch. 39 - A spacecraft built in the shape of a sphere moves...Ch. 39 - An astronaut is traveling in a spacecraft in outer...Ch. 39 - You measure the volume of a cube at rest to be V0....Ch. 39 - Two identical clocks are set side by side and...Ch. 39 - Prob. 39.8OQCh. 39 - Which of the following statements are fundamental...Ch. 39 - A distant astronomical object (a quasar) is moving...Ch. 39 - In several cases, a nearby star has been found to...Ch. 39 - Prob. 39.2CQCh. 39 - A train is approaching yon at very high speed as...Ch. 39 - List three ways our day-to-day lives would change...Ch. 39 - Prob. 39.5CQCh. 39 - Prob. 39.6CQCh. 39 - Prob. 39.7CQCh. 39 - Prob. 39.8CQCh. 39 - Give a physical argument that shows it is...Ch. 39 - Prob. 39.10CQCh. 39 - Prob. 39.11CQCh. 39 - (i) An object is plated at a position p f from a...Ch. 39 - With regard to reference frames, how does general...Ch. 39 - Two identical clocks are in the same house, one...Ch. 39 - The truck in Figure P39.1 is moving at a speed of...Ch. 39 - In a laboratory frame of reference, an observer...Ch. 39 - The speed of the Earth in its orbit is 29.8 km/s....Ch. 39 - Prob. 39.4PCh. 39 - Prob. 39.5PCh. 39 - A meterstick moving at 0.900c relative to the...Ch. 39 - Prob. 39.7PCh. 39 - A muon formed high in the Earths atmosphere is...Ch. 39 - How fast must a meterstick be moving if its length...Ch. 39 - An astronaut is traveling in a space vehicle...Ch. 39 - A physicist drives through a stop light. When he...Ch. 39 - A fellow astronaut passes by you in a spacecraft...Ch. 39 - A deep-space vehicle moves away from the Earth...Ch. 39 - For what value of does = 1.010 0? Observe that...Ch. 39 - A supertrain with a proper length of 100 m travels...Ch. 39 - The average lifetime of a pi meson in its own...Ch. 39 - An astronomer on the Earth observes a meteoroid in...Ch. 39 - A cube of steel has a volume of 1.00 cm3 and mass...Ch. 39 - A spacecraft with a proper length of 300 m passes...Ch. 39 - A spacecraft with a proper length of Lp passes by...Ch. 39 - A light source recedes from an observer with a...Ch. 39 - Review. In 1963, astronaut Gordon Cooper orbited...Ch. 39 - Police radar detects the speed of a car (Fig....Ch. 39 - The identical twins Speedo and Goslo join a...Ch. 39 - An atomic clock moves at 1 000 km/h for 1.00 h as...Ch. 39 - Prob. 39.26PCh. 39 - A red light flashes at position xR = 3.00 m and...Ch. 39 - Shannon observes two light pulses to be emitted...Ch. 39 - A moving rod is observed to have a length of =...Ch. 39 - A rod moving with a speed v along the horizontal...Ch. 39 - Keilah, in reference frame S, measures two events...Ch. 39 - Figure P38.21 shows a jet of material (at the...Ch. 39 - An enemy spacecraft moves away from the Earth at a...Ch. 39 - A spacecraft is launched from the surface of the...Ch. 39 - Prob. 39.35PCh. 39 - Calculate the momentum of an electron moving with...Ch. 39 - Prob. 39.37PCh. 39 - Prob. 39.38PCh. 39 - Prob. 39.39PCh. 39 - Prob. 39.40PCh. 39 - Prob. 39.41PCh. 39 - Prob. 39.42PCh. 39 - An unstable particle at rest spontaneously breaks...Ch. 39 - Prob. 39.44PCh. 39 - Prob. 39.45PCh. 39 - Protons in an accelerator at the Fermi National...Ch. 39 - A proton moves at 0.950c. Calculate its (a) rest...Ch. 39 - (a) Find the kinetic energy of a 78.0-kg...Ch. 39 - A proton in a high-energy accelerator moves with a...Ch. 39 - Prob. 39.50PCh. 39 - The total energy of a proton is twice its rest...Ch. 39 - Prob. 39.52PCh. 39 - When 1.00 g of hydrogen combines with 8.00 g of...Ch. 39 - In a nuclear power plain, the fuel rods last 3 yr...Ch. 39 - The power output of the Sun is 3.85 1026 W. By...Ch. 39 - Prob. 39.56PCh. 39 - Prob. 39.57PCh. 39 - Prob. 39.58PCh. 39 - The rest energy of an electron is 0.511 MeV. The...Ch. 39 - Prob. 39.60PCh. 39 - A pion at rest (m = 273me) decays to a muon (m =...Ch. 39 - An unstable particle with mass m = 3.34 1027 kg...Ch. 39 - Prob. 39.63PCh. 39 - Prob. 39.64PCh. 39 - Review. A global positioning system (GPS)...Ch. 39 - Prob. 39.66APCh. 39 - The net nuclear fusion reaction inside the Sun can...Ch. 39 - Prob. 39.68APCh. 39 - A Doppler weather radar station broadcasts a pulse...Ch. 39 - An object having mass 900 kg and traveling at...Ch. 39 - An astronaut wishes to visit the Andromeda galaxy,...Ch. 39 - A physics professor on the Earth gives an exam to...Ch. 39 - An interstellar space probe is launched from...Ch. 39 - Prob. 39.74APCh. 39 - Prob. 39.75APCh. 39 - An object disintegrates into two fragments. One...Ch. 39 - The cosmic rays of highest energy are protons that...Ch. 39 - Spacecraft I. containing students taking a physics...Ch. 39 - Review. Around the core of a nuclear reactor...Ch. 39 - The motion of a transparent medium influences the...Ch. 39 - Prob. 39.81APCh. 39 - Prob. 39.82APCh. 39 - An alien spaceship traveling at 0.600c toward the...Ch. 39 - Prob. 39.84APCh. 39 - Prob. 39.85APCh. 39 - An observer in a coasting spacecraft moves toward...Ch. 39 - Prob. 39.87APCh. 39 - A particle with electric charge q moves along a...Ch. 39 - Prob. 39.89CPCh. 39 - Suppose our Sun is about to explode. In an effort...Ch. 39 - Owen and Dina are at rest in frame S. which is...
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
- According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from a planet in our solar system to the sun is related to the time P, in years, that it takes for the planet to complete a revolution around the sun, and the relationship is D = 93P2/3 It takes the planet Pluto 248 years to complete a revolution around the sun. What is the mean distance from Pluto to the sun? What is the mean distance from Earth to the sun? Give your answers to the nearest million miles. from Pluto to the sun X million miles from Earth to the sun million milesarrow_forwardIn 1999, NASA lost the Mars Climate Orbiter because one group of engineers used metric units in their calculations while another group used English units. Consequently, the orbiter descended too far into the Martian atmosphere and burned up. Suppose that the orbiter was to have established orbit at 157 km and that one group of engineers specified this distance as 1.57 x 10³ m. Suppose further that a second group of engineers programmed the orbiter to go to 1.57 x 10³ ft. The $125 million Mars Climate Orbiter was lost in the Martian atmosphere in 1999 because two groups of engineers failed to communicate with each other about What was the difference in kilometers between the two altitudes? Express your answer with the appropriate units. Value Submit HA Provide Feedback Part B Complete previous part(s) Units Request Answer ?arrow_forwardTo complete this exercise, you need to know that the circumference of a circle is proportional to its radius, and that the constant of proportionality is 2π. You do not need to know either the radius of the Moon’s orbit or the radius of Earth. For purposes of this exercise, we assume that the Moon’s orbit around Earth is circular. In one trip around Earth, the Moon travels approximately 2.4 million kilometers. Another satellite orbits Earth (in a circular orbit) at a distance from Earth that is 1/4 that of the Moon. How far does this satellite travel in one trip around Earth? (Use decimal notation. Give your answer to one decimal place.) A rope is tied around the equator of Earth. A second rope circles Earth and is suspended 77 feet above the equator. How much longer is the second rope than the first?arrow_forward
- Kepler's Third Law of planetary motion states that the square of the period T of a planet (the time it takes for the planet to make a complete revolution about the sun) is directly proportional to the cube of its average distance d from the sun. (a) Express Kepler's Third Law as an equation. (Use k for the constant of proportionality.) (c) The planet Neptune is about 2.79 × 109 mi from the sun. Find the period of Neptune. (Round your answer to the nearest whole number of years.)arrow_forwardNewton’s version of Kepler’s third law is: P2 = 4 π2 / [G (M1 + M2)] × a3. The space shuttle orbits 271 km above the Earth's surface. How often do the astronauts see a sunrise (in minutes)? Use the gravitational constant G = 6.67 × 10-11 m3 kg-1 s-2, the mass of the Earth M = 5.97 × 1024 kg, and the radius of the Earth to be 7000 km.arrow_forwardSchwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]arrow_forward
- According to Kepler's law, the period of revolution (T) of a planet and its mean distance from the sun (r) are related by the equation. (a) T?r = constant (b) T? r³ = constant (c) T r = constant (d) T³ r = cònstant %3D %3Darrow_forwardThe gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.arrow_forwardFor about 10 years after the French Revolution, the French government attempted to base measures of time on multiples of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second? Assume that the definition of a "day" remains the same. (a) Number 1.43 Units (b) Number 0.864 Units Sarrow_forward
- For about 10 years after the French Revolution, the French government attempted to base measures of time on multiples of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds.What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second?arrow_forwardWe sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the planet. It took our probe 3.5x105s to orbit the planet. Which formula will be used to solve this problem? Possible Formulas that can be used to answer the question: v=(2πr)/T ac=v2/r ac=(4π2r)/T2 Fc=mac Fg=mg F=(Gm1m2)/d2 g=Gm/r2 T2=(4π2/Gm)r3 v=√(Gm)/r g=9.80m/s2 G=6.67x10-11 (N∙m2)/kg2arrow_forwardThe distance to the Andromeda Galaxy is estimated at about 2 x 106 light years. A light year is the distance traveled by light in one year; if the speed of light is 3 x 108 m/s, about how far is it from our galaxy to Andromeda.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author: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
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY