Time and Date Stamps (logged): 01:27:07 08-29-2008 ¯°Ÿ±¶Ÿ¯¶¯·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

A mass on a spring is observed to complete 49.998 cycles of oscillation every minute. The spring constant is known to be 1000 Newtons/meter. What is the mass, in kilograms?

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Problem Number 2

What are x and y the components of the displacement vector obtained when we add the two following displacement vectors:

What are the magnitude and angle of the resultant vector?

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Problem Number 3

What is the KE change of an object of mass 6.5 kg as its gravitational PE decreases by 74 J if at the same time it also does 52 J of work against the net nongravitational force?

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Problem Number 4

If an object of mass 2.9 Kg and initially at rest is pushed by a net force of 18.85 Newtons for 9.3 seconds, how far does it travel and what is its final velocity?

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Problem Number 5

The velocity of an object increases at a constant rate of 43 meters/second per second.

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Problem Number 6

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 7

What is the acceleration of an object of mass 900 kilograms in circular orbit about a planet of mass 7 *10^ 23 kilograms at a radius of 20000 kilometers? 

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Problem Number 8

A mass of 7.1 kg is suspended from a spring with force constant 61 N / m.

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Problem Number 9

A mass of 11 kg on a level tabletop is attached by a light string to a mass of 4 kg; the second mass is hanging vertically from a pulley. The string runs from the first mass in the horizontal direction to the pulley. The pulley is considered to be light and frictionless.

If there is no friction anywhere in the system:

Answer the same questions if the only friction in the system is on the mass on the tabletop, and if the coefficient of friction between the mass and the tabletop is .15.

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Problem Number 10

What vector of magnitude 4.3 must be added to the velocity vector A = < -1.44 m/s, 8.28 m/s> in order to obtain a vertical vector R? Answer by giving the magnitude and angle of the vector to be added.

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Problem Number 11

An object of mass 16 kg experiences a variable force F(t) (here F(t) indicates function notation, not multiplication of F by t; F(t) is the force at clock time t)   for 6 seconds.

If the average force over this time is 896 Newtons,

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Problem Number 12

An object of mass 11 kg is subjected to a variable force F(t) (here F(t) indicates function notation, not multiplication of F by t; F(t) is the force at clock time t) for .8 seconds.

During the .8-second time interval, the force increases linearly from 0 to 77 Newtons, then decreases linearly back to 0.

Find the change in the object's velocity.

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Problem Number 13

An object is moving at a constant velocity of 4 m/s before an acceleration phase, and at another constant velocity after the acceleration phase.

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Problem Number 14

Four masses, each of 8.699 /4 kilograms are placed on a massless X shaped frame, one mass at the end of each crossbar. The system rotates about the center, and each mass is .6999 meters from the center. A rotation-producing torque of 12.99 meter Newtons is applied to the system.

Since all the masses are at the same distance r from the axis of rotation, the quantity mr ^ 2, where m is the sum of all the masses, is easily calculated.

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Problem Number 15

Using the approximation that 1 meter per second is about 2.3 miles per hour, find the centripetal acceleration of a 1493 kilogram automobile moving at 11.99 miles per hour on a circular track whose radius is 143 meters.