Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Textbook Question
Chapter 15, Problem 38EAP
a. When the displacement of a mass on a spring is
b. At what displacement, as a fraction of A, is the energy halfkinetic and half potential?
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3. The following potential energy function is called the GST potential:
U(x) = -bx? + cx+
with b and a as positive constants.
a. Sketch this potential as a function of x.
b. Assuming the particle in this potential will move only along the î direction, find the force felt by this
particle.
c. Find the location of any equilibrium points for this potential and determine their stability.
d. If the particle starts at x =
, find the turning point in its motion (if there is one).
e. Determine the maximum kinetic energy of the particle.
4
A massless spring of spring constant k = 4434 N/m is connected to a mass m = 76 kg at rest on a horizontal, frictionless surface.
a. The mass is displaced from equilibrium by A = 0.82 m along the spring’s axis. How much potential energy, in joules, is stored in the spring as a result?
b. When the mass is released from rest at the displacement A= 0.82 m, how much time, in seconds, is required for it to reach its maximum kinetic energy for the first time?
c. The typical amount of energy released when burning one barrel of crude oil is called the barrel of oil equivalent (BOE) and is equal to 1 BOE = 6.1178362 GJ. Calculate the number, N, of springs with spring constant k = 4434 N/m displaced to A = 0.82 m you would need to store 1 BOE of potential energy.
d. Imagine that the N springs from part (c) are released from rest simultaneously. If the potential energy stored in the springs is fully converted to kinetic energy and thereby “released” when the attached masses pass through…
Chapter 15 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 15 - Prob. 1CQCh. 15 - A pendulum on Planet X, where the value of g is...Ch. 15 - FIGURE Q15.3 shows a position-versus-time graph...Ch. 15 - FIGURE Q15.4 shows a position-versus-time graph...Ch. 15 - 5. Equation 15.25 states that . What does this...Ch. 15 - A block oscillating on a spring has an amplitude...Ch. 15 - A block oscillating on a spring has a maximum...Ch. 15 - 8. The solid disk and circular hoop in FIGURE...Ch. 15 - FIGURE Q15.9 shows the potential-energy diagram...Ch. 15 - Suppose the damping constant b of an oscillator...
Ch. 15 - Prob. 11CQCh. 15 - 12. What is the difference between the driving...Ch. 15 - An air-track glider attached to a spring...Ch. 15 - An air-track is attached to a spring. The glider...Ch. 15 - Prob. 3EAPCh. 15 - An object in SHM oscillates with a period of 4.0 s...Ch. 15 - What are the (a) amplitude, (b) frequency, and (c)...Ch. 15 - What are the (a) amplitude, (b) frequency, and (c)...Ch. 15 - FIGURE EX15.7 is the Position-versus-time graph of...Ch. 15 - FIGURE EX15.8 is the velocity-versus-time graph of...Ch. 15 - An object in simple harmonic motion has an...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An air-track glider attached to a spring...Ch. 15 - 14. A block attached to a spring with unknown...Ch. 15 - 15. A 200 g air-track glider is attached to a...Ch. 15 - A 200 g mass attached to a horizontal spring...Ch. 15 - Prob. 17EAPCh. 15 - A 1.0 kg block is attached to a spring with spring...Ch. 15 - Prob. 19EAPCh. 15 - Prob. 20EAPCh. 15 - A spring is hanging from the ceiling. Attaching a...Ch. 15 - 22. A spring with spring constant 15 N/m hangs...Ch. 15 - 23. A spring is hung from the ceiling. When a...Ch. 15 - Prob. 24EAPCh. 15 - A 200 g ball is tied to a string. It is pulled to...Ch. 15 - Prob. 26EAPCh. 15 - Prob. 27EAPCh. 15 - Prob. 28EAPCh. 15 - Prob. 29EAPCh. 15 - A 100 g mass on a 1.0-m-long string is pulled 8.0...Ch. 15 - A uniform steel bar swings from a pivot at one end...Ch. 15 - Prob. 32EAPCh. 15 - Prob. 33EAPCh. 15 - Prob. 34EAPCh. 15 - Vision is blurred if the head is vibrated at 29 Hz...Ch. 15 - Prob. 36EAPCh. 15 - Prob. 37EAPCh. 15 - a. When the displacement of a mass on a spring is...Ch. 15 - For a particle in simple harmonic motion, show...Ch. 15 - A 100g block attached to a spring with spring...Ch. 15 - A 0.300 kg oscillator has a speed of 95.4cm/s when...Ch. 15 - An ultrasonic transducer, of the type used in...Ch. 15 - Astronauts in space cannot weigh themselves by...Ch. 15 - 44. Your lab instructor has asked you to measure a...Ch. 15 - A 5.0 kg block hangs from a spring with spring...Ch. 15 - Prob. 46EAPCh. 15 - A block hangs in equilibrium from a vertical...Ch. 15 - Prob. 48EAPCh. 15 -
49. Scientists are measuring the properties of a...Ch. 15 - Prob. 50EAPCh. 15 - A compact car has a mass of 1200 kg. Assume that...Ch. 15 - Prob. 52EAPCh. 15 - Prob. 53EAPCh. 15 - Prob. 54EAPCh. 15 - Prob. 55EAPCh. 15 - Prob. 56EAPCh. 15 - Prob. 57EAPCh. 15 - A uniform rod of mass M and length L swings as a...Ch. 15 - Prob. 59EAPCh. 15 - 60. A 500 g air-track glider attached to a spring...Ch. 15 - Prob. 61EAPCh. 15 - Prob. 62EAPCh. 15 - A molecular bond can be modeled as a spring...Ch. 15 - Prob. 64EAPCh. 15 - Prob. 65EAPCh. 15 - Prob. 66EAPCh. 15 - The 15 g head of a bobble-head doll oscillates in...Ch. 15 - An oscillator with a mass of 500 g and a period of...Ch. 15 - Prob. 69EAPCh. 15 - Prob. 70EAPCh. 15 - Prob. 71EAPCh. 15 - Prob. 72EAPCh. 15 - Prob. 73EAPCh. 15 - A block ona frictionless FIGURE P15.74 to two...Ch. 15 - Prob. 75EAPCh. 15 - Prob. 76EAPCh. 15 - A solid sphere of mass M and radius R is suspended...Ch. 15 - A uniform rod of length L oscillates as a pendulum...Ch. 15 - Prob. 79EAPCh. 15 - Prob. 80EAPCh. 15 - FIGURE CP15.81 shows a 200 g uniform rod pio4ed at...
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