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Introduction to Work and Kinetic Energy
Recall that Kinetic Energy, K, is defined as
1 2
K = --- m v
2
and that net work is defined as
/
W = | F dx
net / net
For a one-dimensional force,
the net work is the area "under" the curve of F versus x.
The Work-Kinetic Energy Theorem connects
the change in a body's kinetic energy
to the work done on it.
K = K + W
0 net
Okay, now try to use this information to answer
the following question.
A car moves along a straight line in the positive x direction.
The net force on the car varies as the car moves, and is plotted as a
function of position for two different situations.
At which location, A or B, is the car moving with a faster speed?
Using information from the lecture, answer this question for each graph.
Write a clear explanation of how you determine the answer.
Work-Kinetic Energy Theorem with Numbers
A ball of mass of 0.50 kg moves along a straight line and is acted upon by a
net force of F = (-6.00 N) + (1.5 N/m) x.
When the ball is located at x = 2.00 m you notice that it has a speed of
v = 4.00 m/s.
- Make a sketch of the force as a function of the distance, paying
attention to values at the axes.
- What is the ball's kinetic energy at x = 2.00 m?
- What is the net work done as the ball moves from 2.00 m to 5.00 m? How
can this be indicated on your sketch?
- What is the ball's kinetic energy when it reaches x = 5.00 m?
- What is the speed of the ball when it reaches x = 5.00 m?
Adapted from Prof. Michael Richmond.
Sorry, we could not find this page | RIT CIS - Center for Imaging Science
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Last Modified:
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