Mastering Physics Solutions: Ballistic Pendulum

Mastering Physics Solutions: Ballistic Pendulum

On December 27, 2011, in Chapter 06: Linear Momentum and Collisions, by Mastering Physics Solutions

Part A = ((m+M)/m)(sqrt(2gL(1-cos(θ))))
Part B = 0.852 Click to use the calculator/solver for this part of the problem

In a ballistic pendulum an object of mass m is fired with an initial speed v0 at a pendulum bob.
Find an expression for v0, the initial speed of the fired object.
An experiment is done to compare the initial speed of bullets fired from different handguns: find the ratio of the initial speed of the 9 mm bullet to the speed of the .44-caliber bullet, v0,9/v0,44

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Mastering Physics Solutions: Exercise 13.40

Mastering Physics Solutions: Exercise 13.40

On December 27, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = 0.276ms Click to use the calculator/solver for this part of the problem
Part B = 0.913m/s2 Click to use the calculator/solver for this part of the problem

During an earthquake, the floor of an apartment building is measured to oscillate in approximately simple harmonic motion with a period of 1.90 seconds and an amplitude of 8.35 cm.
Determine the maximum speed of the floor during this motion.
Determine the maximum acceleration of the floor during this motion.

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Mastering Physics Solutions: Exercise 13.12

Mastering Physics Solutions: Exercise 13.12

On December 27, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = 1.2m/s Click to use the calculator/solver for this part of the problem
Part B = at the equilibrium position
Part C = 1.0m/s Click to use the calculator/solver for this part of the problem

A mass-spring system is in SHM in the horizontal direction. If the mass is 0.25 kg, the spring constant is 15 N/m, and the amplitude is 15 cm, what is the maximum speed of the mass? Where does this occur? What is the speed at a half-amplitude position?

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Mastering Physics Solutions: Standing Waves on a Guitar String

Mastering Physics Solutions: Standing Waves on a Guitar String

On December 26, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = 40cm
Part B = 120cm
Part C = 384m/s Click to use the calculator/solver for this part of the problem
Part D = overtone number = pattern number -1
Part E = This is a complex tone with a fundamental of 400 Hz, plus some of its overtones.

Standing waves on a guitar string form when waves traveling down the string reflect off a point where the string is tied down or pressed against the fingerboard. the entire series of distortions may be superimposed on a single figure, like this (intro 2 figure) , indicating different moments in time using traces of different colors or line styles.
What is the wavelength of the longest wavelength standing wave pattern that can fit on this guitar string? How does the overtone number relate to the standing wave pattern number, previously denoted with the variable n?

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Mastering Physics Solutions: Wave and Particle Velocity Vector Drawing

Mastering Physics Solutions: Wave and Particle Velocity Vector Drawing

On December 26, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = See diagram in the Solutions Below
Part B = See diagram in the Solutions Below

At the instant shown, orient vA and vB to correctly represent the direction of the wave velocity at points A and B.
At the instant shown, orient the given vectors vA and vB to correctly represent the direction of the velocity of points A and B.

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Mastering Physics Solutions: Wave Notation

Mastering Physics Solutions: Wave Notation

On December 26, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = periodic
Part B = λ = v/f
Part C = decreases
Part D = radians
Part E = T = 1/f
Part F = ω = 2π * f

Traveling waves propagate with a fixed speed usually denoted as v (but sometimes c). The waves are called __________ if their waveform repeats every time interval T. The fundamental relationship among frequency, wavelength, and velocity is. If the velocity of the wave remains constant, then as the frequency of the wave is increased, the wavelength __________. Find an expression for the period of a wave in terms of other kinematic variables.

find an expression for the period of a wave in terms of other kinematic variables.

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