Time and Date Stamps (logged): 05:52:06 12-05-2008
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Precalculus II
General College Physics (Phy 201) Final Exam
Completely document your work and your reasoning.
You will be graded on your documentation, your reasoning, and the
correctness of your conclusions.
Test should be printed using Internet Explorer. If
printed from different browser check to be sure test items have not been cut off. If
items are cut off then print in Landscape Mode (choose File, Print, click on Properties
and check the box next to Landscape, etc.).
Name and Signature of Student
_____________________________
Signed by Attendant, with Current Date and Time:
______________________
If picture ID has been matched with student and name as
given above, Attendant please sign here: _________
Instructions:
- Test is to be taken without reference to text or
outside notes.
- Graphing Calculator is allowed, as is blank paper or
testing center paper.
- No time limit but test is to be taken in one
sitting.
- Please place completed test in Dave Smith's folder,
OR mail to Dave Smith, Science and Engineering, Va. Highlands CC, Abingdon, Va.,
24212-0828 OR email copy of document to dsmith@vhcc.edu,
OR fax to 276-739-2590. Test must be returned by individual or agency supervising test. Test is not to be returned to student after it has been taken. Student may, if proctor deems it feasible, make and retain a copy of the test..
Directions for Student:
- Completely document your work.
- Numerical answers should be correct to 3 significant
figures. You may round off given numerical information to a precision consistent
with this standard.
- Undocumented and unjustified answers may be counted
wrong, and in the case of two-choice or limited-choice answers (e.g., true-false or
yes-no) will be counted wrong. Undocumented and unjustified answers, if wrong, never get
partial credit. So show your work and explain your reasoning.
- Due to a scanner malfunction and other errors some
test items may be hard to read, incomplete or even illegible. If this is judged by
the instructor to be the case you will not be penalized for these items, but if you
complete them and if they help your grade they will be counted. Therefore it is to
your advantage to attempt to complete them, if necessary sensibly filling in any
questionable parts.
- Please write on one side of paper only, and staple
test pages together.
Test Problems:
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Problem Number 1
A mass of 1.36 kg rests on a frictionless tabletop, attached by a string running
horizontally to and then over a pulley to a mass of .3672 kg.
- When the system is released what will be its acceleration?
- What is the tension in the strings?
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Problem Number 2
A simple harmonic oscillator of mass 3 kg is subjected to a net restoring force
F = - 300 N/m * x at displacement x from equilibrium. What is the period of its
motion?
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Problem Number 3
A roller coaster runs upside down on the underside of the top of a circular
track whose diameter is 23 meters.
- If the velocity of the coaster if 28 m/s, how much downward force will the seat
exert on your mass?
- Moving at the same speed at the bottom of the track, how much upward force will
the seat exert on your mass?
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Problem Number 4
Coasting from rest down a certain hill, whose slope is variable, I reach a speed
of 10 m/s at the bottom. If I coast from rest down the second half of the hill I
reach a speed of 8 m/s. Ignoring the effects of air resistance and friction:
- How fast would I therefore be going if I coasted from rest down the first half of
the hill?
- How high would I have to climb from the halfway point reach the top?
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Problem Number 5
Show that if a satellite orbits just above the surface of a planet with orbital
period T, the density of the planet must be 3 `pi / (G * T^2), where G = 6.67 * 10^-11 N
m^2 / kg^2. code `t
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Problem Number 6
A simple harmonic oscillator with mass 2.33 kg and restoring force constant 320 N/m
is released from rest at a displacement of .49 meters from its equilibrium position.
- What is its equation of motion?
- According to the corresponding acceleration function what will be the
acceleration of the oscillator at clock time t = .1714 sec?
- What will be its position at this clock time?
- What is the force on the oscillator at this position?
- Does this force result in the acceleration you just calculated?
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Problem Number 7
Explain why the work required to pull a dynamics cart up an incline, in the absence of
friction, should be the same as the work required to lift the cart vertically through the
vertical displacement it experiences in the process.
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Problem Number 8
A disk of negligible mass and radius 16 cm is constrained to rotate on a frictionless
axis about its center. On the disk are mounted masses of 7 grams at a distance of 12.32 cm
from the center, 14 grams data distance of 9.28 cm from the center and 36 grams at a
distance of 3.68 cm from the center. A uniform force of .04988 Newtons is applied at the rim of
the disk in a direction tangent to the disk.
- What torque is applied to the disk?
- What will be the resulting change in the angular momentum of the disk if the torque is
applied for `dt = 4 seconds?
- What is the resulting change in the velocity of the disk?
- If the disk starts from rest, through what angular displacement will it rotate during
the `dt seconds?
- Through what distance will the rim move during this time, and how much work is therefore
done by the applied force in this time?
- What is the kinetic energy of the disk, as calculated using its initial and final
angular velocities and moment of inertia?
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Problem Number 9
A gun fires a bullet of mass 30 grams out of a barrel 21 cm long.
The gun is attached to a spring. From the recoil of the spring and the masses
of the gun and the spring we determine that the gun recoiled with a total momentum of 13.8
kg m/s.
- With what velocity did the bullet exit the barrel?
- Assuming that the bullet accelerated uniformly from rest along the length
of the barrel, how long did it take the bullet to accelerate from rest down the length of
the barrel?
- What was the average force exerted on the bullet as it accelerated along
the length of the barrel?
- What average force would be felt by the individual holding the gun for
the time the bullet accelerates along the length of the barrel?
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Problem Number 10
A simple pendulum has a length of 1.1 meters and a mass of .21 kg. It is
given a KE of .147 Joules at a point .1298 meters from equilibrium. What will be its
maximum displacement from equilibrium?
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Problem Number 11
A simple harmonic oscillator of mass .08 kg is subjected to a net restoring force
F = - 70 N/m * x at displacement x from equilibrium.
- If the amplitude of its motion is 81.2 meters, what are the maximum magnitudes of
its acceleration and velocity?
- At what displacements from equilibrium can each maximum occur?
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Problem Number 12
What would be the orbital KE of a satellite of mass 580 kg in circular orbit
about a planet of mass 52 * 10^24 kg, orbiting at a distance of 46800 km from the center of
the planet?
By how much would orbital PE change as the satellite moved from this orbit to a
circular orbit of radius 51480 km?
G = 6.67 * 10^-11 N m^2 / kg^2