Conceptual Physics (12th Edition)
12th Edition
ISBN: 9780321909107
Author: Paul G. Hewitt
Publisher: PEARSON
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Chapter 10, Problem 64RCQ
Ignoring air resistance, could a satellite be put into orbit in a circular tunnel beneath Earth`s surface? Discuss.
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(a) Calculate the work (in MJ) necessary to bring a 104 kg object to a height of 991 km above the surface of the Earth.
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X
The work done must provide the increase in gravitational potential energy, so calculate AU, for the system. You will need the radius and mass of the Earth
for your calculation. MJ
(b) Calculate the extra work (in J) needed to launch the object into circular orbit at this height.
2.619E9 X
Notice that the centripetal force for the object in orbit is due to the gravitational force from the Earth. Write and equate two expressions for the force, in
terms of Newton's universal law of gravitation and the centripetal force, and solve for v2. The additional work is equal to the kinetic energy, so find K using
your value for v². J
A satellite moves in a circular orbit around the earth at a speed of 5000 m/s determine (a) the
altitude of the satellite above the surface of Eakth (b) the period of the satellite's orbit. (c) If the mass
of the satellite is doubled, will the orbital speed increase, decrease, or stay the same.
A satellite is in a circular orbit at an altitude of 250 km above the earth's surface. If
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Chapter 10 Solutions
Conceptual Physics (12th Edition)
Ch. 10 - Prob. 1RCQCh. 10 - Why does the vertical component of velocity for a...Ch. 10 - Prob. 3RCQCh. 10 - Prob. 4RCQCh. 10 - Prob. 5RCQCh. 10 - Prob. 6RCQCh. 10 - A projectile is launched upward at an angle of 70°...Ch. 10 - A projectile is launched vertically at 100 m/s. If...Ch. 10 - Prob. 9RCQCh. 10 - How does Earth’s curvature relate to the speed...
Ch. 10 - Prob. 11RCQCh. 10 - Prob. 12RCQCh. 10 - Prob. 13RCQCh. 10 - Prob. 14RCQCh. 10 - Prob. 15RCQCh. 10 - Prob. 16RCQCh. 10 - Prob. 17RCQCh. 10 - Who gathered the data that showed planets...Ch. 10 - Prob. 19RCQCh. 10 - Prob. 20RCQCh. 10 - Prob. 21RCQCh. 10 - Prob. 22RCQCh. 10 - Prob. 23RCQCh. 10 - Prob. 24RCQCh. 10 - Prob. 25RCQCh. 10 - A ball is thrown horizontally from a cliff at a...Ch. 10 - Prob. 27RCQCh. 10 - Prob. 28RCQCh. 10 - A baseball projected with an initial velocity of...Ch. 10 - Students in the lab (see Figure 10.5) measure the...Ch. 10 - Prob. 31RCQCh. 10 - Prob. 32RCQCh. 10 - Prob. 33RCQCh. 10 - A horizontally moving tennis ball barely clears...Ch. 10 - Prob. 35RCQCh. 10 - Prob. 36RCQCh. 10 - Prob. 37RCQCh. 10 - Prob. 38RCQCh. 10 - Prob. 39RCQCh. 10 - Prob. 40RCQCh. 10 - Prob. 41RCQCh. 10 - Prob. 42RCQCh. 10 - A heavy crate accidentally falls from a...Ch. 10 - Prob. 44RCQCh. 10 - 45. Fragments of fireworks beautifully illuminate...Ch. 10 - In the absence of air resistance, why doesn’t the...Ch. 10 - Prob. 47RCQCh. 10 - Prob. 48RCQCh. 10 - Two golfers each hit a ball at the same speed, but...Ch. 10 - A park ranger shoots a monkey hanging from a...Ch. 10 - A projectile is fired straight upward at 141 m/s....Ch. 10 - Prob. 52RCQCh. 10 - Prob. 53RCQCh. 10 - Prob. 54RCQCh. 10 - Prob. 55RCQCh. 10 - Prob. 56RCQCh. 10 - Prob. 57RCQCh. 10 - Prob. 58RCQCh. 10 - Prob. 59RCQCh. 10 - Prob. 60RCQCh. 10 - Prob. 61RCQCh. 10 - Prob. 62RCQCh. 10 - Prob. 63RCQCh. 10 - Ignoring air resistance, could a satellite be put...Ch. 10 - Prob. 65RCQCh. 10 - Prob. 66RCQCh. 10 - Prob. 67RCQCh. 10 - Prob. 68RCQCh. 10 - Prob. 69RCQCh. 10 - Prob. 70RCQCh. 10 - Prob. 71RCQCh. 10 - Prob. 72RCQCh. 10 - Prob. 73RCQCh. 10 - Prob. 74RCQCh. 10 - Prob. 75RCQCh. 10 - Prob. 76RCQCh. 10 - What is the advantage of launching space vehicles...Ch. 10 - Prob. 78RCQCh. 10 - What is the maximum possible speed of impact on...Ch. 10 - Prob. 80RCQCh. 10 - Prob. 81RCQCh. 10 - At what point in its elliptical orbit about the...Ch. 10 - Prob. 83RCQCh. 10 - Prob. 84RCQCh. 10 - Prob. 85RCQCh. 10 - Prob. 86RCQCh. 10 - Prob. 87RCQCh. 10 - Prob. 88RCQCh. 10 - Prob. 89RCQCh. 10 - Prob. 90RCQCh. 10 - Prob. 91RCQCh. 10 - Prob. 92RCQCh. 10 - 93. Which two planets are never seen at midnight,...Ch. 10 - Prob. 94RCQCh. 10 - Prob. 95RCQCh. 10 - Prob. 96RCQCh. 10 - Prob. 97RCQCh. 10 - Prob. 98RCQCh. 10 - Prob. 99RCQCh. 10 - Prob. 100RCQ
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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
- Check Your Understanding By what factor must the radius change to reduce the orbital velocity of a satellite by one-half? By what factor would this change the period?arrow_forwardIf a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forwardCheck Your Understanding If we send a probe out of the solar system starting form Earth’s surface, do we only have to escape the Sun?arrow_forward
- Show that the areal velocity for a circular orbit of radius r about a mass M is At=12GMr . Does your expression give the correct value for Earth’s areal vilocity about the Sun?arrow_forwardCheck Your Understanding Assume you are in a spacecraft in orbit about the Sun at Earth’s orbit, but far away from Earth (so that it can be ignored). How could you redirect your tangential velocity to the radial direction such that you could then pass by Mars’s orbit? What would be required to change just the direction of the velocity?arrow_forwardUsing the technique shown in Satellite Orbits and Energy, show that two masses m1 and m2 in circular orbits about their common center of mass, will have total energy E=K+E=K1+K2Gm1m2r=Gm1m22r . We have shown the kinetic energy of both masses explicitly. (Hint: The masses orbit at radii r1 and r2 , respectively, where r=r1+r2 . Be sure not to confuse the radius needed for centripetal acceleration with that for the gravitational force.)arrow_forward
- Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.arrow_forwardA Molniya orbit is a highly eccentric orbit of a communication satellite so as to provide continuous communications coverage for Scandinavian countries and adjacent Russia. The orbit is positioned so that these countries have the satellite in view for extended periods in time (see below). If a satellite in such an orbit has an apogee at 40,000.0 km as measured from the center of Earth and a velocity of 3.0 km/s, what would be its velocity at perigee measured at 200.0 km altitude?arrow_forwardIt was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero or positive total energy is in an unbounded orbit. Why zero or positive total energy is in an unbounded orbit. Why is this true? What choice for gravitational potential energy was made such that this is true?arrow_forward
- Given the perihelion distance, p , and aphelion distance, q , for an elliptical orbit, show that the velocity at perihelion, vp , is given by vp=2GMSun(q+p)qp . (Hint: Use conservation of angular momentum to relate vp and vq , and then substitute into the conservation fo energy equation.)arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardA geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits are sueful for communication and weather observation because the satellite remains above the same point on Earth (provided it orbits in the equatorial plane in the same direction as Earth’s rotation). Calculate the radius of such an orbit based on the data for Earth in Appendis D.arrow_forward
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