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Precalculus II
Principles of Physics (Phy 121) Test_Set_9
Completely document your work and your reasoning.
You will be graded on your documentation, your reasoning, and the
correctness of your conclusions.
Date and Time are 02-15-2001 19:30:49
Signed by Learning Lab Attendant: ______________________
Date and Time: ______________________
Attendant:
Test is to be taken without reference to text or outside notes.
Calculator is allowed.
No time limit but test is to be taken in one sitting.
Please place test in Dave Smith's folder when completed.
Student:
Completely document your work.
Undocumented and unjustified answers may be counted wrong.
Besides undocument and unjustified answers, if wrong, never get partial credit.
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Problem Number 1
Measurements on a certain spring indicate a spring
constant of 960 N / m. If an object of mass 4 kilograms is suspended
from this spring and released from rest at a point 5.5 meters below its equilibrium
position, then
- How long does it take the object to move through one
complete cycle?
- If t = 0 when the object first passes upward through
the equilibrium position, then what will be its position at t = .3192 seconds?
- What will be its average velocity and kinetic energy
between t = -.001 sec and t = .001 sec?
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Problem Number 2
What is the mass in kilograms of an object if, when suspended from an ideal
spring whose restoring force constant is 700 Newtons/meter, the mass completes a cycle of
oscillation in 2.4 seconds.
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Problem Number 3
What is the mass in kilograms of an object which oscillates at .9523 cycles /
sec when suspended from an ideal spring whose restoring force constant is 840
Newtons/meter?
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Problem Number 4
A mass of 6.9 kg is suspended from a spring with force constant 78 N / m.
- If the mass is released from rest at a point .22 meters from equilibrium, what
will be the centripetal acceleration, in m/s ^ 2, of the reference point on the circle
which models the resulting simple harmonic motion?
- What acceleration would you expect for the object at the instant it reaches an
extreme point?
- Explain in your summary why you would expect the object itself to undergo this
acceleration at the extreme positions in its cycle.