Explanation Given: Spring constant, k = 15.0 N/m Mass of the ball, m = 500 g Initial Amplitude, a = 6.0 cm = 0 .06 m Final Amplitude, a ' = 3. 0 cm = 0 .03 m Number of oscillations, n = 30 Formula Used: Amplitude: A = A o e − b t / 2 m Here, t is the time, b is the damping constant, m is the mass and τ is the time constant. Period of oscillations: T = 2 π m k Here, m is the mass and k is the spring constant. Calculation: T = 2 π m k T = 2 × 3.14 × 0.5 kg 15 N/m T = 1

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

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ISBN: 9780134110684

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Chapter 15, Problem 69EAP

To determine

The time constant.

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Chapter 15, Problem 68EAP

Chapter 15, Problem 70EAP

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Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Ch. 15 - Prob. 1CQ Ch. 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. 11CQ Ch. 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. 3EAP Ch. 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. 17EAP Ch. 15 - A 1.0 kg block is attached to a spring with spring...Ch. 15 - Prob. 19EAP Ch. 15 - Prob. 20EAP Ch. 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. 24EAP Ch. 15 - A 200 g ball is tied to a string. It is pulled to...Ch. 15 - Prob. 26EAP Ch. 15 - Prob. 27EAP Ch. 15 - Prob. 28EAP Ch. 15 - Prob. 29EAP Ch. 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. 32EAP Ch. 15 - Prob. 33EAP Ch. 15 - Prob. 34EAP Ch. 15 - Vision is blurred if the head is vibrated at 29 Hz...Ch. 15 - Prob. 36EAP Ch. 15 - Prob. 37EAP Ch. 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. 46EAP Ch. 15 - A block hangs in equilibrium from a vertical...Ch. 15 - Prob. 48EAP Ch. 15 - 49. Scientists are measuring the properties of a...Ch. 15 - Prob. 50EAP Ch. 15 - A compact car has a mass of 1200 kg. Assume that...Ch. 15 - Prob. 52EAP Ch. 15 - Prob. 53EAP Ch. 15 - Prob. 54EAP Ch. 15 - Prob. 55EAP Ch. 15 - Prob. 56EAP Ch. 15 - Prob. 57EAP Ch. 15 - A uniform rod of mass M and length L swings as a...Ch. 15 - Prob. 59EAP Ch. 15 - 60. A 500 g air-track glider attached to a spring...Ch. 15 - Prob. 61EAP Ch. 15 - Prob. 62EAP Ch. 15 - A molecular bond can be modeled as a spring...Ch. 15 - Prob. 64EAP Ch. 15 - Prob. 65EAP Ch. 15 - Prob. 66EAP Ch. 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. 69EAP Ch. 15 - Prob. 70EAP Ch. 15 - Prob. 71EAP Ch. 15 - Prob. 72EAP Ch. 15 - Prob. 73EAP Ch. 15 - A block ona frictionless FIGURE P15.74 to two...Ch. 15 - Prob. 75EAP Ch. 15 - Prob. 76EAP Ch. 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. 79EAP Ch. 15 - Prob. 80EAP Ch. 15 - FIGURE CP15.81 shows a 200 g uniform rod pio4ed at...

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