University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 13, Problem 13.57P
CP You are exploring a distant planet. When your spaceship is in a circular orbit at a distance of 630 km above the planet’s surface, the ship’s orbital speed is 4900 m/s. By observing the planet, you determine its radius to be 4.48 × 106 m. You then land on the surface and, at a place where the ground is level, launch a small projectile with initial speed 12.6 m/s at an angle of 30.8° above the horizontal. If resistance due to the planet’s atmosphere is negligible, what is the horizontal range of the projectile?
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You are exploring a distant planet. When your spaceship is in a
circular orbit at a distance of 630 km above the planet's surface,
the ship's orbital speed is 4900 m/s. By observing the planet,
you determine its radius to be 4.48 x 10° m. You then land on
the surface and, at a place where the ground is level, launch a
small projectile with initial speed 11.6 m/s at an angle of 30.8°
above the horizontal.
Part A
If resistance due to the planet's atmosphere is negligible, what is the horizontal range of the projectile?
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You are a visitor aboard the New International Space Station, which is in a circular orbit around the Earth with an orbital speed of ?o=2.45 km/s�o=2.45 km/s . The station is equipped with a high velocity projectile launcher, which can be used to launch small projectiles in various directions at high speeds. Most of the time, the projectiles either enter new orbits around the Earth or eventually fall down and hit the Earth. However, as you know from your physics courses at the Academy, projectiles launched with a sufficiently great initial speed can travel away from the Earth indefinitely, always slowing down but never falling back to Earth.
With what minimum total speed, relative to the Earth, would projectiles need to be launched from the station in order to "escape" in this way? For reference, recall that the radius of the Earth is ?E=6370000 m�E=6370000 m, the mass of the Earth is ?E=5.98×1024 kg�E=5.98×1024 kg , the acceleration due to gravity on the surface of the Earth is ?=9.81…
A space shuttle is in a circular orbit at a height H above the Earth. A small
satellite is held above the shuttle (i.e. directly away from the Earth) by means
of a rod of length h and then released. What is its initial motion relative to the
shuttle?
Chapter 13 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 13.1 - The planet Saturn has about 100 times the mass of...Ch. 13.2 - Rank the following hypothetical planets in order...Ch. 13.3 - Prob. 13.3TYUCh. 13.4 - Prob. 13.4TYUCh. 13.5 - The orbit of Comet X has a semi-major axis that is...Ch. 13.6 - In the classic 1913 science-fiction novel At the...Ch. 13.7 - Imagine a planet that has the same mass and radius...Ch. 13.8 - If the sun somehow collapsed to form a black hole,...Ch. 13 - A student wrote: The only reason an apple falls...Ch. 13 - If all planets had the same average density, how...
Ch. 13 - Is a pound of butler on the earth the same amount...Ch. 13 - Example 13.2 (Section 13.1) shows that the...Ch. 13 - When will you attract the sun more: today at noon,...Ch. 13 - Since the moon is constantly attracted toward the...Ch. 13 - Prob. 13.7DQCh. 13 - A planet makes a circular orbit with period T...Ch. 13 - The sun pulls on the moon with a force that is...Ch. 13 - Which takes more fuel: a voyage from the earth to...Ch. 13 - Prob. 13.11DQCh. 13 - Does the escape speed for an object at the earths...Ch. 13 - If a projectile is fired straight up from the...Ch. 13 - Discuss whether this statement is correct: In the...Ch. 13 - The earth is closer to the sun in November than in...Ch. 13 - A communications firm wants to place a satellite...Ch. 13 - Prob. 13.17DQCh. 13 - What would Keplers third law be for circular...Ch. 13 - In the elliptical orbit of Comet Hailey shown in...Ch. 13 - Many people believe that orbiting astronauts feel...Ch. 13 - As part of their training before going into orbit,...Ch. 13 - What is the ratio of the gravitational pull of the...Ch. 13 - CP Cavendish Experiment. In the Cavendish balance...Ch. 13 - Rendezvous in Space! A couple of astronauts agree...Ch. 13 - Two uniform spheres, each with mass M and radius...Ch. 13 - Two uniform spheres, each of mass 0.260 kg, are...Ch. 13 - Find the magnitude and direction of the net...Ch. 13 - A typical adult human has a mass of about 70 kg....Ch. 13 - An 8.00-kg point mass and a 12.0-kg point mass are...Ch. 13 - Prob. 13.9ECh. 13 - The point masses m and 2m lie along the x-axis,...Ch. 13 - At what distance above the surface of the earth is...Ch. 13 - The mass of Venus is 81.5% that of the earth, and...Ch. 13 - Titania, the largest moon of the planet Uranus,...Ch. 13 - Rhea, one of Saturns moons, has a radius of 764 km...Ch. 13 - Calculate the earths gravity force on a 75-kg...Ch. 13 - Prob. 13.16ECh. 13 - Use the results of Example 13.5 (Section 13.3) to...Ch. 13 - Ten days after it was launched toward Mars in...Ch. 13 - A planet orbiting a distant star has radius 3.24 ...Ch. 13 - Prob. 13.20ECh. 13 - Prob. 13.21ECh. 13 - Aura Mission. On July 15, 2004, NASA launched the...Ch. 13 - Two satellites are in circular orbits around a...Ch. 13 - International Space Station. In its orbit each...Ch. 13 - Prob. 13.25ECh. 13 - Prob. 13.26ECh. 13 - The star Rho1 Cancri is 57 light-years from the...Ch. 13 - In March 2006. two small satellites were...Ch. 13 - The dwarf planet Pluto has an elliptical orbit...Ch. 13 - Hot Jupiters. In 2004 astronomers reported the...Ch. 13 - Planets Beyond the Solar System. On October 15,...Ch. 13 - A uniform, spherical, 1000.0-kg shell has a radius...Ch. 13 - A uniform, solid, 1000.0-kg sphere has a radius of...Ch. 13 - CALC A thin, uniform rod has length L and mass M....Ch. 13 - Prob. 13.35ECh. 13 - A Visit to Santa. You decide to visit Santa Claus...Ch. 13 - The acceleration due to gravity at the north pole...Ch. 13 - Mini Black Holes. Cosmologists have speculated...Ch. 13 - Prob. 13.39ECh. 13 - In 2005 astronomers announced the discovery of a...Ch. 13 - Neutron stars, such as the one at the center of...Ch. 13 - Four identical masses of 8.00 kg each are placed...Ch. 13 - Three uniform spheres are fixed at the positions...Ch. 13 - CP Exploring Europa. There is strong evidence that...Ch. 13 - A uniform sphere with mass 50.0 kg is held with...Ch. 13 - Mission to Titan. On December 25, 2004, the...Ch. 13 - Prob. 13.47PCh. 13 - At a certain instant, the earth, the moon, and a...Ch. 13 - Prob. 13.49PCh. 13 - CP Submarines on Europa. Some scientists are eager...Ch. 13 - What is the escape speed from a 300-km-diameter...Ch. 13 - A landing craft with mass 12,500 kg is in a...Ch. 13 - Planet X rotates in the same manner as the earth,...Ch. 13 - (a) Suppose you are at the earths equator and...Ch. 13 - CP An astronaut, whose mission is to go where no...Ch. 13 - CP Your starship, the Aimless Wanderer, lands on...Ch. 13 - CP You are exploring a distant planet. When your...Ch. 13 - The 0.100-kg sphere in Fig. P13.58 is released...Ch. 13 - An unmanned spacecraft is in a circular orbit...Ch. 13 - Mass of a Comet. On July 4, 2005, the NASA...Ch. 13 - Falling Hammer. A hammer with mass m is dropped...Ch. 13 - Prob. 13.62PCh. 13 - Prob. 13.63PCh. 13 - Prob. 13.64PCh. 13 - Prob. 13.65PCh. 13 - The planet Uranus has a radius of 25,360 km and a...Ch. 13 - Prob. 13.67PCh. 13 - A rocket with mass 5.00 103 kg is in a circular...Ch. 13 - A 5000-kg spacecraft is in a circular orbit 2000...Ch. 13 - Prob. 13.70PCh. 13 - CALC Planets are not uniform inside. Normally,...Ch. 13 - One of the brightest comets of the 20th century...Ch. 13 - CALC An object in the shape of a thin ring has...Ch. 13 - CALC A uniform wire with mass M and length L is...Ch. 13 - Prob. 13.75PCh. 13 - DATA For each of the eight planets Mercury to...Ch. 13 - DATA For a spherical planet with mass M, volume V,...Ch. 13 - DATA For a planet in our solar system, assume that...Ch. 13 - Interplanetary Navigation. The most efficient way...Ch. 13 - CP Tidal Forces near a Black Hole. An astronaut...Ch. 13 - CALC Mass M is distributed uniformly over a disk...Ch. 13 - EXOPLANETS. As planets with a wide variety of...Ch. 13 - EXOPLANETS. As planets with a wide variety of...Ch. 13 - EXOPLANETS. As planets with a wide variety of...
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