MasteringPhysics: Assignment Print View
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10/4/2007 3:56 PM
PHCC 141: Physics for Scientists and Engineers I - Fall 2007
6a. Work, Energy, and Power
Due at 11:59pm on Thursday, September 27, 2007
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Work Energy Theorem and Exercises
The Work-Energy Theorem
To understand the meaning and possible applications of the work-energy theorem.
In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the
work-energy theorem. We will start with a special case: a particle of mass
moving in the
direction at constant acceleration
During a certain interval of time, the particle accelerates from
, undergoing displacement
Find the acceleration
of the particle.
Some helpful relationships from kinematics
Furthermore, the average speed is
and the displacement is
Combine these relationships to eliminate
Express the acceleration in terms of
Find the net force
acting on the particle.
Using Newton's laws
Hint not displayed
Express your answer in terms of