Time and Date Stamps (logged): 17:12:20 06-10-2020 °¶Ÿ°±Ÿ±¯¯µŸ°¯Ÿ±¯±¯ 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.

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Instructions:

Directions for Student:

Test Problems:

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Problem Number 1

A simple harmonic oscillator with mass 1.25 kg and restoring force constant 150 N/m is released from rest at a displacement of .44 meters from its equilibrium position. 

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Problem Number 2

A ball is projected horizontally at 12 m/s from an altitude of 20 meters. What is its horizontal range? What would be its horizontal range if it was projected from the same altitude but at an angle of 5 degrees above horizontal?

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Problem Number 3

If a mass of 9 kg moving at 4 m/s collides with a mass of 9 kg moving at -4 m/s, and the two masses are 'stuck together' after collision, then what is their common velocity after collision?  Is this collision possible for the system consisting of the two masses without the conversion of some internal source of potential energy?

 

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Problem Number 4

A simple harmonic oscillator of mass 7 kg has a period of 50 seconds.   What is its restoring force constant?

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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 uniform rod of mass 2.5 kg and length 148 cm is constrained to rotate on an axis about its center. A mass of .475 kg is attached to the rod at a distance of 57.72 cm from the axis of rotation.   An unknown uniform force is applied to the rod at a position 22.2 cm from the axis of rotation, in the plane of motion of the rod, and at an angle of 44 degrees from the rod. The force is applied as the rod rotates through .16 radians from rest, which requires .5 seconds. The applied force is then removed and, coasting only under the influence of friction, the rod comes to rest after rotating through 4.4 radians, which requires 17 seconds.

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Problem Number 7

Write down the four basic equations of uniformly accelerated motion. Specify which two are considered the most basic, and explain their meaning in commonsense terms. Explain how the third fourth equations demonstrate the truth or falseness the argument 'if an automobile roles down a constant incline, since it experiences the same acceleration over the same distance no matter how fast it is going when it starts down the incline, then as long as a resistance and other extraneous frictional forces are not significant, its velocity will increase by the same amount regardless of the initial velocity'.

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Problem Number 8

If a simple harmonic oscillator of mass 2.15 kg is subjected to a restoring force of 6.7 Newtons when displaced .1978 meters from equilibrium, what will be its its equation of motion if it is released from rest at this position? 

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Problem Number 9

What is the effective force constant for a simple pendulum of mass 1.2 kg and length 1.67 meters?  If released from a position .08851 meters from equilibrium what will be its velocity when it is halfway to its equilibrium point, and what will be its velocity at equilibrium?

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Problem Number 10

A cart of mass 1.7 kg coasts 70 cm up an incline at 6 degrees with horizontal.   Assume that frictional and other nongravitational forces parallel to the incline are negligible.

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Problem Number 11

If a simple pendulum of mass 1.159 kg and length 74.99 cm is moving at 80.99 cm/s as it passes through the low point of its arc, what its its angular velocity about its pivot point at that instant?  What is the tension in the string of the pendulum?

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Problem Number 12

A disk of negligible mass and radius 22 cm is constrained to rotate on a frictionless axis about its center. On the disk are mounted masses of 25 grams at a distance of 16.06 cm from the center, 6 grams data distance of 9.02 cm from the center and 31 grams at a distance of 4.4 cm from the center. A uniform force of .06983 Newtons is applied at the rim of the disk in a direction tangent to the disk.