Time and Date Stamps (logged): 12:44:20 05-21-2012 °±Ÿ³³Ÿ±¯¯´Ÿ±°Ÿ±¯°± Precalculus II

Principles of Physics (Phy 121) 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

The gravitational effect of the Earth can be thought of as being spread out over larger and larger spheres, each concentric with the Earth. The greater the area over which the field is spread, the less the strength of the field.

At the radius of the Earth, the field strength is 9.8 m/s ^ 2.

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Problem Number 2

A series of 3 concentric massless hoops are constrained to rotate together about an axis which passes through their common center and which lies perpendicular to their common plane. The first hoop has radius 9.899 meters, the second a radius of 19.798 meters and the third a radius of 29.697 meters.

Masses of 8 kilograms are attached to each hoop, with masses separated by `pi / 2.474 meters of arc length along the circumference of each hoop.

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Problem Number 3

A dirigible, initially stationary within its reference frame, is being pushed by the wind and also by its propellers.  The wind pushes with a force of 2.9 pounds to the North and the second with a force of 6.71 pounds to the East.  The dirigible starts to move in response to the combined force.

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Problem Number 4

A net force of 1968 Newtons is applied to an object of mass 16 kg for 4 seconds.

Find its change in velocity using Newton's Second Law and your knowledge of uniformly accelerated motion, and also using the Impulse-Momentum Theorem.

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Problem Number 5

Find the x and y coordinates of an object's position at t = 1/12 ( 7.5) seconds and at t = 5/8( 7.5) seconds, given that at t = 0 seconds its angular position is 0 radians, and that it moves at constant angular velocity around a circle of radius 6.8 meters, making a revolution every 7.5 seconds. 

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Problem Number 6

What is the mass in kilograms of an object if, when suspended from an ideal spring whose restoring force constant is 60 Newtons/meter, the mass oscillates at .5555 cycles/sec.

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Problem Number 7

A tower begins at the surface of the Earth, at a distance of 6400 km from the center, and rises to a position 3000 kilometers further from the center. A person of mass 77 kg climbs the tower.  The individual has an average power output of .55 watts / kg of body mass, and can sustain this output for 8 hours daily.

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Problem Number 8

If a displacement vector has x and y components 3.7 meters and 3.3 meters, respectively, the what are the magnitude and angle the displacement?

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Problem Number 9

An object, initially at rest, is acted upon by a net force of 293.4 Newtons.

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Problem Number 10

What is the velocity of an object of mass 7 kg if its momentum is known to be -63 kg m/s?

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Problem Number 11

During 1 second, the velocity of an object increases by 45 meters/second.  

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Problem Number 12

An object of mass 9.99 kg sits on a spinning disk at a point 9 meters from the center of the disk.

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Problem Number 13

A mass of 25 kg slides up a frictionless incline until it is 1.1 meters higher than it was when it started.

If the system is released from rest at this position, the

Assume that as the object returns to its original position the spring releases the object when the spring is at its equilibrium position.

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Problem Number 14

A rubber band does 56 J of work as it launches a mass of 4.5 kg.

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Problem Number 15

If velocity increases linearly from 8 meters per second to 11 meters per second in 6 seconds, then on the average, by how many meters per second does velocity increase per second?