Mastering physics chapter 13 answers

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Mastering Physics Chapter 13 Solutions

Chapter 13 problems

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13.15 Weighing Astronauts This procedure has actually bben used to weigh astronauts in space. A 42.5kg chair is attached to a spring and allowed to oscillate. When it is empty, the chair takes 1.3s to make one complete vibration. But with an astronaut sitting in it, with her feet off the floor, the chair takes 2.54s for one cycle. What is the mass of the astronaut?

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13.27 You are watching an object that is moving in SHM. When the object is displaced 0.6m to the right of its equilibrium position, it has a velocity of 2.2m/s to the right and an acceleration of 8.4m/s to the left. How much farther from this point will the object move before it stops momentarily and then starts to move back to the left?

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13.52 A 1.8kg monkey wrench is pivoted 0.25m from its center of mass and allowed to swing as a physical pendulum. The period for small-angle oscillations is 0.94s. (a) What is the moment of inertia of the wrench about an axis through the pivot? (b) If the wrench is initially displaced 0.4 radians from its equilibrium position, what is the angular speed of the wrench as it passes through the equilibrium position?

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13.65 A glider is oscillating in SHM on an air track with an amplitude A1. You slow it so that its amplitude is halved. What happens to its (a) period, frequency and angular frequency; (b) total mechanical energy; (c) maximum speed; (d) speed at x=A1/4; (e) potential and kinetic energies at x=A1/4?

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13.68 A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k. The other end of the spring is attached to a wall. A second block with mass m rests on top of the first block. The coefficient of static friction between the blocks is s. Find the maximum amplitude of oscillation such that the top block will not slip on the bottom block.

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13.78 A uniform beam is suspended horizontally by two identical vertical springs that are attached between the ceiling and each end of the beam. The beam has mass 225kg, and a 175kg sack of gravel sits on the middle of it. The beam is oscillating in SHM, with an amplitude of 40cm and a frequency of 0.6 Hz. (a) The sack of gravel falls off the beam when the beam has its maximum upward displacement. What are the frequency and amplitude of the subsequent SHM of the beam? (b) If the gravel instead falls off when the beam has its maximum speed, what are the frequency and amplitude of the subsequent SHM of the beam?

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13.89 In the figure, the upper ball is released from rest, collides with the stationary lower ball, and sticks to it. The strings are both 50cm long. The upper ball has mss 2kg, and it is initially 10cm higher than the lower ball, which has mass 3kg. Find the frequency and maximum angular displacement of the motion after the collision.

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Question: 

How does the number of atoms in a 27.5-gram gold ring compare to the number in a silver ring of the same mass?

Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014. Reprinted by permission of Pearson Education Inc., New York.
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Transcript for this Giancoli solution

This is Giancoli Answers with Mr. Dychko. The number of gold atoms will be the mass of gold divided by the atomic mass of gold which is the number of atomic mass units per atom, multiplied by 1.66 times 10 to the minus 27 kilograms per atomic mass units so that the kilograms and between there and there cancel. And we see that the numerator is the same for the number of gold atoms as it is for the number of silver atoms because it's the same mass we're told. So, those m's are going to cancel and this conversion factor is going to cancel as well. And we can multiply top and bottom by this atomic mass of silver and that will cancel on the bottom and it will appear in the numerator of the top. So, what we're left with is just the atomic mass of silver divided by atomic mass of gold. And you can look in the periodic table in the back cover of your textbook to find the atomic mass of silver is 1.07 times 0.8682 atomic mass units per atom. And for gold it's 1.96 point... Or, sorry, I should say 196.966569 u per atom. And that gives 0.5476. So, the number of gold atoms is about half the number of silver atoms.
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