PHYS 1050 Final: PHYS1050 Final Exam 2010 Fall

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turquoisegnu128

24 Oct 2018

School

University of Manitoba

Department

Physics and Astronomy

Course

PHYS 1050

Professor

All

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Document Summary

Record all answers on the computer score sheet provided. Black pen will look good but may not be read reliably by the scoring machine. Select the answer that is closest to yours. A formula sheet is provided for your use; you may not use your own formula sheet or any other materials or notes. Calculators of any type are allowed, but not devices that store text or that can communicate with other such devices. Be sure your name and student number are printed on the score sheet and the student number correctly coded in the box at the top right-hand side of the sheet. B i j k is: (b) 90 (a) 180 . A particle of mass m = 0. 1 kg is subject to an external force f such that its position vector r t (in m) is given by: (e) 109 (c) 71 (d) 55 r t t i.

Related Questions

A simple harmonic transverse wave is propagating along a string toward the left (or – x) direction. Shown to the right is a plot of the displacement as a function of position at time t = 0 s. The string tension is 3.6 N, and its linear mass density is 25 g/m.

(a) What is the amplitude?

(b) What is the wavelength?

(d) What is the wave speed?

(e) What is the maximum speed of a particle in the string?

(f) Write an equation describing the traveling wave.

lemonjellyfish584

A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. Figure 16-34 shows a plot of the displacement as a function of position at time t = 0; the scale of the y axis is set by ys = 4.0 cm. The string tension is 3.6 N, and its linear density is 25 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find the maximum transverse speed of a particle in the string. If the wave is of the form y(x, t) = ym sin(kx ± ?t f), what are (f)k, (g) ?, (h) f, and (i) the correct choice of sign in front of ??

Good Vibes: Introduction to Oscillations

The conditions that lead to simple harmonic motion are as follows:

There must be a position of stable equilibrium.

There must be a restoring force acting on the oscillating object. The direction of this force must always point toward the equilibrium, and its magnitude must be directly proportional to the magnitude of the object's displacement from its equilibrium position. Mathematically, the restoring force F⃗ is given by ⃗, where is the displacement from equilibrium and k is a constant that depends on the properties of the oscillating system.

The resistive forces in the system must be reasonably small.

Consider a block of mass m attached to a spring with force constant k, as shown in the figure(Figure 1) . The spring can be either stretched or compressed. The block slides on a frictionless horizontal surface, as shown. When the spring is relaxed, the block is located at x=0. If the block is pulled to the right a distance A and then released, A will be the amplitude of the resulting oscillations.

Assume that the mechanical energy of the block-spring system remains unchanged in the subsequent motion of the block.

Part A

After the block is released from x=A, it will

(a) remain at rest

(b) move to the left until it reaches equilibrium and stop there.

(d) move to the left until it reaches x=−A and then begin to move to the right.

The time it takes the block to complete one cycle is called the period. Usually, the period is denoted T and is measured in seconds.

The frequency, denoted f, is the number of cycles that are completed per unit of time: f=1/T. In SI units, f is measured in inverse seconds, or hertz (Hz).

Part B

If the period is doubled, the frequency is

(a) unchanged

(b) doubled

Part C

An oscillating object takes 0.10 s to complete one cycle; that is, its period is 0.10 s. What is its frequency f?

Express your answer in hertz.

Part D

If the frequency is 40 Hz, what is the period T?

Express your answer in seconds.

The following questions refer to the figure (Figure 2) that graphically depicts the oscillations of the block on the spring.

Note that the vertical axis represents the x-coordinate of the oscillating object, and the horizontal axis represents time.

Part E

Which points on the x-axis are located at a distance A from the equilibrium position?

(a) R only

(b) Q only

Part F

Suppose that the period is T. Which of the following points on the t-axis are separated by the time interval T?

(a) K and L

(b) K and M

(d) L and N

(e) M and P

Now assume for the remaining Parts G - J, that the x coordinate of point R is 0.12 m and the t coordinate of point K is 0.0050 s.

Part G

What is the period T?

Express your answer in seconds.

Part H

How much time t does the block take to travel from the point of maximum displacement to the opposite point of maximum displacement?

Express your answer in seconds.

Part I

What distance d does the object cover during one period of oscillation?

Express your answer in meters.

Part J

What distance d does the object cover between the moments labeled K and N on the graph?

Express your answer in meters.

emeraldyak680

PHYS 1050 Final: PHYS1050 Final Exam 2010 Fall

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