Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 13.35P
A system consists of three particles, each of mass 5.00 g, located at the corners of an equilateral triangle with sides of 30.0 cm. (a) Calculate the gravitational potential energy of the system. (b) Assume the particles are released simultaneously. Describe the subsequent motion of each. Will any collisions take place? Explain.
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
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Chapter 13 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 13 - A planet has two moons of equal mass. Moon 1 is in...Ch. 13 - Superman stands on top of a very tall mountain and...Ch. 13 - An asteroid is in a highly eccentric elliptical...Ch. 13 - Prob. 13.4QQCh. 13 - A system consists of five particles. How many...Ch. 13 - Rank the following quantities of energy from...Ch. 13 - Prob. 13.3OQCh. 13 - Suppose the gravitational acceleration at the...Ch. 13 - Imagine that nitrogen and other atmospheric gases...Ch. 13 - An object of mass m is located on the surface of a...
Ch. 13 - Prob. 13.7OQCh. 13 - The vernal equinox and the autumnal equinox are...Ch. 13 - Rank the magnitudes of the following gravitational...Ch. 13 - The gravitational force exerted on an astronaut on...Ch. 13 - Prob. 13.11OQCh. 13 - Each Voyager spacecraft was accelerated toward...Ch. 13 - In his 1798 experiment, Cavendish was said to have...Ch. 13 - Prob. 13.3CQCh. 13 - Prob. 13.4CQCh. 13 - Prob. 13.5CQCh. 13 - Prob. 13.6CQCh. 13 - Prob. 13.7CQCh. 13 - Prob. 13.8CQCh. 13 - A satellite in low-Earth orbit is not truly...Ch. 13 - In introductory physics laboratories, a typical...Ch. 13 - Determine the order of magnitude of the...Ch. 13 - A 200-kg object and a 500-kg object are separated...Ch. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Two ocean liners, each with a mass of 40 000...Ch. 13 - Three uniform spheres of masses m1 = 2.00 kg, m2 =...Ch. 13 - Two identical isolated particles, each of mass...Ch. 13 - Prob. 13.8PCh. 13 - Two objects attract each other with a...Ch. 13 - Review. A student proposes to study the...Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...Ch. 13 - Three objects of equal mass are located at three...Ch. 13 - A spacecraft in the shape of a long cylinder has a...Ch. 13 - An artificial satellite circles the Earth in a...Ch. 13 - Io, a satellite of Jupiter, has an orbital period...Ch. 13 - A minimum-energy transfer orbit to an outer planet...Ch. 13 - A particle of mass m moves along a straight line...Ch. 13 - Plasketts binary system consists of two starts...Ch. 13 - Two planets X and Y travel counterclockwise in...Ch. 13 - Comet Halley (Fig. P13.23) approaches the Sun to...Ch. 13 - Prob. 13.24PCh. 13 - Use Keplers third law to determine how many days...Ch. 13 - Neutron stars are extremely dense objects formed...Ch. 13 - A synchronous satellite, which always remains...Ch. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - A satellite in Earth orbit has a mass of 100 kg...Ch. 13 - How much work is done by the Moons gravitational...Ch. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - Prob. 13.33PCh. 13 - An object is released from rest at an altitude h...Ch. 13 - A system consists of three particles, each of mass...Ch. 13 - Prob. 13.36PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 13.38PCh. 13 - Prob. 13.39PCh. 13 - Prob. 13.40PCh. 13 - Prob. 13.41PCh. 13 - Prob. 13.42PCh. 13 - Prob. 13.43PCh. 13 - Prob. 13.44PCh. 13 - Prob. 13.45PCh. 13 - Prob. 13.46PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 13.48PCh. 13 - At the Earths surface, a projectile is launched...Ch. 13 - Prob. 13.50APCh. 13 - Prob. 13.51APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - A satellite is in a circular orbit around the...Ch. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - Prob. 13.56APCh. 13 - Prob. 13.57APCh. 13 - Prob. 13.58APCh. 13 - Prob. 13.59APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - Two hypothetical planets of masses m1 and m2 and...Ch. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - A ring of matter is a familiar structure in...Ch. 13 - Prob. 13.64APCh. 13 - Review. As an astronaut, you observe a small...Ch. 13 - Prob. 13.66APCh. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 13.69APCh. 13 - Prob. 13.70APCh. 13 - Prob. 13.71APCh. 13 - Prob. 13.72APCh. 13 - Prob. 13.73APCh. 13 - Two stars of masses M and m, separated by a...Ch. 13 - Two identical particles, each of mass 1 000 kg,...Ch. 13 - Prob. 13.76APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...Ch. 13 - The oldest artificial satellite still in orbit is...Ch. 13 - Prob. 13.80CP
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