College Physics
1st Edition
ISBN: 9781938168048
Author: Paul Peter Urone, OpenStax, Roger Hinrichs
Publisher: OpenStax
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Chapter 6, Problem 24PE
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Critical damping is the case where the mass never actually crosses over equilibrium position, but reaches equilibrium as fast as possible. Experiment with changing c to find the critical damping constant. Use the same initial conditions as in the last problem. Zoom in a bit to make sure you don't allow any oscillations to take place - even small ones.
NASA's KC-135 Reduced Gravity Research aircraft, affectionately known as the "Vomit Comet," is used in training astronauts and testing equipment for microgravity environments. During a typical mission, the aircraft makes approximately 30 to 40 parabolic arcs. During each arc, the aircraft and objects inside it are in free-fall, and
passengers float freely in apparent "weightlessness."
The figure below shows the altitude of the aircraft during a typical mission. It climbs from 24,000 ft to 30,850 ft, where it begins a parabolic arc with a velocity of 155 m/s at 45.0° nose-high and exits with velocity 155 m/s at 45.0° nose-low.
31 000
45° nose high
45° nose low
24 000
Zero g
65
Maneuver time (s)
(a) What is the aircraft's speed (in m/s) at the top of the parabolic arc?
110.0
m/s
(b) What is the aircraft's altitude (in ft) at the top of the parabolic arc?
2.04e+04
What is the initial height at the start of the parabolic arc? What is the initial velocity at this point? What is the final…
Chapter 6 Solutions
College Physics
Ch. 6 - There an analogy between rotational and physical...Ch. 6 - Can centripetal acceleration change the speed of...Ch. 6 - If you wish to reduce the stress (which related to...Ch. 6 - Define centripetal force. Can any type of force...Ch. 6 - If centripetal force is directed toward the...Ch. 6 - Pace car drivers routinely cut corners as shown in...Ch. 6 - A number of amusement parks have rides that make...Ch. 6 - What is the direction of the force exerted by the...Ch. 6 - As a skater forms a circle, what force is...Ch. 6 - Suppose a child is riding on a merry-go-round at a...
Ch. 6 - Do you feel yourself thrown to either side when...Ch. 6 - Suppose a mass is moving in a circular path on a...Ch. 6 - When a toilet is flushed or a sink is drained,...Ch. 6 - Is there a real force that throws water from...Ch. 6 - In one amusement park ride, riders enter a large...Ch. 6 - Actin at a distance, such as is the case for...Ch. 6 - Two friends are having a conversation. Anna says a...Ch. 6 - A frame of reference placed at the center of the...Ch. 6 - Action at a distance, such as is the case for...Ch. 6 - Two friends are having a conversation. Anna says a...Ch. 6 - Draw a free body diagram for a satellite in an...Ch. 6 - Newton's laws of motion and gravity were among the...Ch. 6 - In what frame(s) of reference are Kepler's laws...Ch. 6 - Semi-trailer trucks have an odometer on one hub of...Ch. 6 - Microwave ovens rotate at a rate of about 6...Ch. 6 - An automobile with 0.260 m radius tires travels...Ch. 6 - (a) What is the period of rotation of Earth in...Ch. 6 - A baseball pitcher brings his arm forward during a...Ch. 6 - In lacrosse, a ball is thrown from a net on the...Ch. 6 - A truck with 0.420-m-radius tires travels at 32.0...Ch. 6 - Integrated Concepts When kicking a football, the...Ch. 6 - Construct Your Own Problem Consider an amusement...Ch. 6 - A fairground ride spins its occupants inside a...Ch. 6 - A runner taking part in the 200 m dash must run...Ch. 6 - Taking the age of Earth to be about 4109 years and...Ch. 6 - The propeller of a World War Il fighter plane is...Ch. 6 - An ordinary workshop grindstone has a radius of...Ch. 6 - Helicopter blades withstand tremendous stresses....Ch. 6 - Olympic ice skaters are able to spin at about 5...Ch. 6 - What percentage of the acceleration at Earth's...Ch. 6 - Verify that the linear speed of an ultracentrifuge...Ch. 6 - A rotating space station is said to create...Ch. 6 - At takeoff, a commercial jet has a 60.0 m/s speed....Ch. 6 - Integrated Concepts Riders in an amusement park...Ch. 6 - Unreasonable Results A mother pushes her child on...Ch. 6 - (a) A 22.0 kg child is riding a playground...Ch. 6 - Calculate the centripetal force on the end of a...Ch. 6 - What is the ideal banking angle for a gentle turn...Ch. 6 - What is the ideal speed to take a 100 m radius...Ch. 6 - (a) What is the radius of a bobsled turn banked at...Ch. 6 - Part of riding a bicycle involves leaning at the...Ch. 6 - A large centrifuge, like the one shown in Figure...Ch. 6 - Integrated Concepts If a car takes a banked curve...Ch. 6 - Modern roller coasters have vertical loops like...Ch. 6 - Unreasonable Results (a) Calculate the minimum...Ch. 6 - (a) Calculate Earth's mass given the acceleration...Ch. 6 - (a) Calculate the magnitude of the acceleration...Ch. 6 - (a) What is the acceleration due to gravity on the...Ch. 6 - (a) Calculate the acceleration due to gravity on...Ch. 6 - The Moon and Earth rotate about their common...Ch. 6 - Solve part (b) of Example 6.6 using ac=v2/r.Ch. 6 - Astrology, that unlikely and vague pseudoscience,...Ch. 6 - The existence of the dwarf planet Pluto was...Ch. 6 - (a) The Sun orbits the Milky Way galaxy once each...Ch. 6 - Unreasonable Result A mountain 10.0 km from a...Ch. 6 - A geosynchronous Earth satellite is one that has...Ch. 6 - Calculate the mass of the Sun based on data for...Ch. 6 - Find the mass of Jupiter based on data for the...Ch. 6 - Find the ratio of the mass of Jupiter to that of...Ch. 6 - Astronomical observations of our Milky Way galaxy...Ch. 6 - Integrated Concepts Space debris left from old...Ch. 6 - Unreasonable Results (a) Based on Kepler's laws...Ch. 6 - Construct Your Own Problem On February 14, 2000,...
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- î A proton is projected in the positive x direction into a region of uniform electric field E = (-5.50 x 105) i N/C at t = 0. The proton travels 7.20 cm as it comes to rest. (a) Determine the acceleration of the proton. magnitude 5.27e13 direction -X m/s² (b) Determine the initial speed of the proton. 8.71e-6 magnitude The electric field is constant, so the force is constant, which means the acceleration will be constant. m/s direction +X (c) Determine the time interval over which the proton comes to rest. 1.65e-7 Review you equations for constant accelerated motion. sarrow_forwardThree charged particles are at the corners of an equilateral triangle as shown in the figure below. (Let q = 2.00 μC, and L = 0.750 m.) y 7.00 με 60.0° L 9 -4.00 μC x (a) Calculate the electric field at the position of charge q due to the 7.00-μC and -4.00-μC charges. 112 Once you calculate the magnitude of the field contribution from each charge you need to add these as vectors. KN/CI + 64 × Think carefully about the direction of the field due to the 7.00-μC charge. KN/Cĵ (b) Use your answer to part (a) to determine the force on charge q. 240.0 If you know the electric field at a particular point, how do you find the force that acts on a charge at that point? mN Î + 194.0 × If you know the electric field at a particular point, how do you find the force that acts on a charge at that point? mNarrow_forwardIn the Donkey Kong Country video games you often get around by shooting yourself out of barrel cannons. Donkey Kong wants to launch out of one barrel and land in a different one that is a distance in x of 9.28 m away. To do so he launches himself at a velocity of 22.6 m/s at an angle of 30.0°. At what height does the 2nd barrel need to be for Donkey Kong to land in it? (measure from the height of barrel 1, aka y0=0)arrow_forward
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