P = mv (kg•m/s) impulse: j = F
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Practice Free Response 1. A 0.62-kg block is attached to the spring (k = 180 N/m). When the system is compressed 5.0 cm and released, it slides a total of 7.3 cm before turning back. 
What is the coefficient of friction?
2  . Block with mass M slides down and strikes a smaller block with mass m, where M = 3m. The blocks stick and fall to the floor.
How far horizontally from the table's edge do the blocks land?
3. The force acting on an object along the x axis varies as shown.
Determine the work done by this force to move the object a. from x = 0 to x = 10 m
b. from x = 0 to x = 15 m
4  . Students are to calculate the spring constant k of a spring that initially rests on a table. When the spring is compressed a distance x from its uncompressed length Lo and then released, the top rises to a maximum height h above the point of maximum compression. The students repeat the experiment, measuring h with various masses m taped to the top of the spring.
a. Derive an expression for the height h in terms of m, x, k, and fundamental constants.
With the spring compressed a distance x = 0.020 m in each trial, the students obtained the data for different values of m.
b. (1) What quantities should be graphed so that the slope of a best-fit straight line can be used to calculate the spring constant k?
(2) Fill in one or both of the blank columns in the table with calculated values of your quantities. c. On the axes below, plot your data and draw a best-fit straight line. Label the axes and indicate the scale.
d. Using your best-fit line, calculate the spring constant.
e. The height h that the spring reaches is difficult to measure. How would you determine this value?
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