Physics, 25.04.2020 03:22 dhhdndnd

Simple Harmonic Motion Problems:

23. Scenario:

Consider a class of physics students in a three-story schoolroom with a high ceiling. (The ceiling is high enough to be the ceiling of the third floor.) The teacher connects a long rope to the ceiling. The free end of the rope is connected to a heavy ball that almost touches the floor when the rope is vertical, creating a very large scale pendulum where the ball travels almost completely in the horizontal direction. The teacher pulls the heavy ball a small distance to the side and releases it so that it oscillates with a certain period, amplitude, and average speed. The teacher then repeats the demonstration but releases the ball from a greater displacement than before. The teacher asks the students to think about how the period, amplitude, and average speed will change for this greater displacement.

Carlos and Angela agree that the amplitude will be greater but disagree on other points. They reason as follows:

Angela: The period will be greater because the distance the ball must travel in one cycle depends on the amplitude. A greater amplitude means a greater distance, which means it takes a longer time to complete one cycle.

Carlos: The period should be shorter because the ball will have a greater average speed as it cycles. A greater average speed would mean that it takes less time to complete a full cycle.

Analysis:

A. Suppose that A represents the amplitude, the distance that the ball travels from equilibrium to one end point of its oscillation, and T represents the period of the oscillation. Write an equation for Vavy, the average speed (in terms of the amplitude A and the period T) of the ball as it oscillates. i) Explain how this equation shows support for Angela's reasoning. ii) Explain how this equation shows support for Carlos's reasoning. Simple Harmonic Motion Problems: (continued from previous page)

B. Argumentation: Carlos is correct that a greater amplitude of oscillation will result in a greater average speed. 1. Explain why this is the case, reasoning in terms of the forces exerted on the ball as it oscillates. II. Explain again, this time reasoning in terms of mechanical energy of the ball-Earth system,

C. Give a correct prediction about whether the period increases, decreases, or remains the same as amplitude increases, assuming that the pendulum undergoes small-angle oscillations in both cases. Use one students explanation or synthesize the two explanations to justify your claim. Period will: _Increase __ Decrease _Remain the same

Answers: 3

Show answers

Another question on Physics

Physics, 22.06.2019 00:20

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

Answers: 1

Answer

Physics, 22.06.2019 05:30

Will give brainliest! which statement best describes the difference between strong nuclear forces and weak nuclear forces? weak nuclear forces are involved when certain types of atoms break down. strong nuclear forces are responsible for holding atoms' nucleus together. weak nuclear forces hold bonds between atoms together. strong nuclear forces hold together the nucleus of an atom. strong nuclear bonds prevent atoms from falling apart. weak nuclear bonds prevent compounds from falling apart. strong nuclear forces are involved in breaking electrons from their shells. weak nuclear forces hold protons in the nucleus.

Answers: 3

Answer

Physics, 22.06.2019 08:30

The coefficient of friction is a number that represents the resistance to sliding between two in contact with one another.

Answers: 2

Answer

Physics, 22.06.2019 18:00

Gabby calls her cousin who lives in a different state and tells her to turn her radio to channel 98.7 so they can listen to their favorite song that is playing. her cousin turns her radio to 98.7, but does not hear the same song gabby hears. which most likely explains why?

Answers: 1

Answer

You know the right answer?

Simple Harmonic Motion Problems:

23. Scenario:

Consider a class of physics...

Questions