Physics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134020853
Author: James S. Walker
Publisher: PEARSON
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Chapter 13, Problem 8PCE
A mass moves back and forth in
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A 0.500 kg sphere moving with a velocity given by (2.00î – 2.60ĵ + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with an initial velocity of (−1.00î + 2.00ĵ – 3.20k) m/s.
(a) The velocity of the 0.500 kg sphere after the collision is (-0.90î + 3.00ĵ − 8.00k) m/s. Find the final velocity of the 1.50 kg sphere.
R =
m/s
Identify the kind of collision (elastic, inelastic, or perfectly inelastic).
○ elastic
O inelastic
O perfectly inelastic
(b) Now assume the velocity of the 0.500 kg sphere after the collision is (-0.250 + 0.850ĵ - 2.15k) m/s. Find the final velocity of the 1.50 kg sphere.
✓ =
m/s
Identify the kind of collision.
O elastic
O inelastic
O perfectly inelastic
(c) Take the velocity of the 0.500 kg sphere after the collision as (−1.00ỉ + 3.40] + ak) m/s. Find the value of a and the velocity of the 1.50 kg sphere after an elastic collision. (Two values of a are possible, a positive value and a negative value. Report each with their
corresponding final velocities.)
a…
A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 1.31 x 104 N/m, as in the figure below. The cannon fires a 200-kg projectile at a velocity of 136 m/s directed 45.0°
above the horizontal.
45.0°
(a) If the mass of the cannon and its carriage is 5000 kg, find the recoil speed of the cannon.
m/s
(b) Determine the maximum extension of the spring.
m
(c) Find the maximum force the spring exerts on the carriage. (Enter the magnitude of the force.)
N
launch angle.
Passage Problems
Alice (A), Bob (B), and Carrie (C) all start from their dorm and head
for the library for an evening study session. Alice takes a straight path,
Chapter 13 Solutions
Physics, Books a la Carte Edition (5th Edition)
Ch. 13.1 - If the frequency of an oscillator is halved, by...Ch. 13.2 - Prob. 2EYUCh. 13.3 - An object moves with simple harmonic motion about...Ch. 13.4 - Rank the four massspring systems in Figure 13-15...Ch. 13.5 - The total mechanical energy of an ideal...Ch. 13.6 - Rank the four pendulum systems in Figure 13-25 in...Ch. 13.7 - The amplitude of a damped oscillation decreases...Ch. 13.8 - When you drive a pendulum at a frequency f1, you...Ch. 13 - A basketball player dribbles a ball with a steady...Ch. 13 - A person rides on a Ferris wheel that rotates with...
Ch. 13 - An air-track cart bounces back and forth between...Ch. 13 - If a mass m and a mass 2m oscillate on identical...Ch. 13 - An object oscillating with simple harmonic motion...Ch. 13 - The position of an object undergoing simple...Ch. 13 - The pendulum bob in Figure 13-18 leaks sand onto...Ch. 13 - A person in a rocking chair completes 12 cycles in...Ch. 13 - While fishing for catfish, a fisherman suddenly...Ch. 13 - If you dribble a basketball with a frequency of...Ch. 13 - You take your pulse and observe 74 heartbeats in a...Ch. 13 - BIO Slow-Motion Dragonfly A frame-by-frame...Ch. 13 - Predict/Calculate (a) Your heart beats with a...Ch. 13 - You rev your cars engine to 3300 rpm (rev/min)....Ch. 13 - A mass moves back and forth in simple harmonic...Ch. 13 - A mass moves back and forth in simple harmonic...Ch. 13 - The position of a mass oscillating on a spring is...Ch. 13 - The position of a mass oscillating on a spring is...Ch. 13 - A position-versus-time plot for an object...Ch. 13 - A mass on a spring oscillates with simple harmonic...Ch. 13 - A mass oscillates on a spring with a period of...Ch. 13 - Predict/Calculate Molecular Oscillations An atom...Ch. 13 - A mass oscillates on a spring with a period T and...Ch. 13 - The position of a mass on a spring is given by x =...Ch. 13 - Predict/Calculate A mass attached to a spring...Ch. 13 - A lawn sprinkler oscillates with simple harmonic...Ch. 13 - A ball rolls on a circular track of radius 0.62 m...Ch. 13 - An object executing simple harmonic motion has a...Ch. 13 - A child rocks back and forth on a porch swing with...Ch. 13 - Predict/Calculate A 30.0-g goldfinch lands on a...Ch. 13 - BIO Tuning Forks in Neurology Tuning forks are...Ch. 13 - A vibrating structural beam in a spacecraft can...Ch. 13 - A peg on a turntable moves with a constant...Ch. 13 - The pistons in an internal combustion engine...Ch. 13 - Vomit Comet NASA trains astronauts to deal with...Ch. 13 - A 0.84-kg air cart is attached to a spring and...Ch. 13 - Predict/Calculate A person rides on a mechanical...Ch. 13 - An object moves with simple harmonic motion of...Ch. 13 - An object executing simple harmonic motion has a...Ch. 13 - Predict/Explain If a mass m is attached to a given...Ch. 13 - Predict/Explain An old car with worn-out shock...Ch. 13 - Predict/Explain The two blocks in Figure 13-34...Ch. 13 - A 0.49-kg mass attached to a spring undergoes...Ch. 13 - A freshly caught catfish is placed on a spring...Ch. 13 - System A consists of a mass m attached to a spring...Ch. 13 - Find the periods of block 1 and block 2 in Figure...Ch. 13 - When a 0.62-kg mass is attached to a vertical...Ch. 13 - A spring with a force constant of 82 N/m is...Ch. 13 - A bunch of grapes is placed in a spring scale at a...Ch. 13 - Two people with a combined mass of 125 kg hop into...Ch. 13 - A 0.95-kg mass attached to a vertical spring of...Ch. 13 - When a 0.184-kg mass is attached to a vertical...Ch. 13 - Predict/Calculate The springs of a 511-kg...Ch. 13 - Predict/Calculate If a mass m is attached to a...Ch. 13 - A 0.285-kg mass is attached to a spring with a...Ch. 13 - A 1.6-kg mass attached to a spring oscillates with...Ch. 13 - Predict/Calculate A 0.40-kg mass is attached to a...Ch. 13 - Prob. 51PCECh. 13 - BIO Astronaut Mass An astronaut uses a Body Mass...Ch. 13 - Predict/Calculate A 0.505-kg block slides on a...Ch. 13 - A 3.55-g bullet embeds itself in a 1.47-kg block,...Ch. 13 - Metronomes, such as the penguin shown in Figure...Ch. 13 - Predict/Explain A grandfather clock keeps correct...Ch. 13 - An observant fan at a baseball game notices that...Ch. 13 - A simple pendulum of length 2.3 m makes 5.0...Ch. 13 - United Nations Pendulum A large pendulum with a...Ch. 13 - Predict/Calculate If the pendulum in the previous...Ch. 13 - A Hula Hoop hangs from a peg. Find the period of...Ch. 13 - A fireman tosses his 0.98-kg hat onto a peg, where...Ch. 13 - Predict/Calculate Consider a meterstick that...Ch. 13 - On the construction site for a new skyscraper, a...Ch. 13 - BIO (a) Find the period of a childs leg as it...Ch. 13 - Suspended from the ceiling of an elevator is a...Ch. 13 - CE An object undergoes simple harmonic motion with...Ch. 13 - CE If the amplitude of a simple harmonic...Ch. 13 - CE A mass m is suspended from the ceiling of an...Ch. 13 - CE A pendulum of length L is suspended from the...Ch. 13 - A 1.3-kg mass is attached to a spring with a force...Ch. 13 - BIO Measuring an Astronauts Mass An astronaut uses...Ch. 13 - Sunspot Observations Sunspots vary in number as a...Ch. 13 - BIO Weighing a Bacterium Scientists are using...Ch. 13 - CE An object undergoing simple harmonic motion...Ch. 13 - The maximum speed of a 4.1-kg mass attached to a...Ch. 13 - The acceleration of a block attached to a spring...Ch. 13 - Helioseismology In 1962, physicists at Cal Tech...Ch. 13 - Predict/Calculate A 9.50-g bullet, moving...Ch. 13 - BIO Spiderweb Oscillations A 1.44-g spider...Ch. 13 - A service dog tag (Figure 13-40) is a circular...Ch. 13 - Calculate the ratio of the kinetic energy to the...Ch. 13 - A 0.340-kg mass slides on a frictionless floor...Ch. 13 - A shock absorber is designed to quickly damp out...Ch. 13 - Predict/Calculate Figure 13-41 shows a...Ch. 13 - Predict/Calculate A 3.2-kg mass on a spring...Ch. 13 - A 0.45-kg crow lands on a slender branch and bobs...Ch. 13 - A mass m is connected to the bottom of a vertical...Ch. 13 - Predict/Calculate Consider the pendulum shown in...Ch. 13 - An object undergoes simple harmonic motion of...Ch. 13 - A physical pendulum consists of a light rod of...Ch. 13 - Predict/Calculate A vertical hollow tube is...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - Predict/Calculate Referring to Example 13-5...Ch. 13 - Predict/Calculate Referring to Example 13-12...Ch. 13 - Predict/Calculate Referring to Example 13-12 (a)...
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