Solve the problem.Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by F(x) = 16x - 0.2x3, for |x| ? 9. How much work is done in stretching the spring from its equilibrium position (x = 0) to x = 0.5? Round to two decimal places when appropriate.
A. 2 J
B. 319.95 J
C. 3.99 J
D. 639.9 J
Answer: A
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Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°].
A. 16
; 135°
B. 16; 45°
C. 32; 45°
D. 16; 225°
Find the range for the set of data given.
A. 36 B. 161 C. 125 D. 65
Solve the problem.The time for a tennis ball to reach its maximum height is given by t = 
. If the speed of a tennis ball v is 32 m/s and the acceleration due to gravity is 9.8 m/s2, determine the time of flight for the ball for a 75.0° angle of elevation. Round results to an appropriate number of significant digits.
A. 0.97 B. 3.2 s C. 4.1 s D. 31 s
Solve the problem.An electrician has to choose different types of wire for different applications. The size of the diameter of the wire is inversely related to the gauge of the wire. The chart below shows some different gauges of wire and their approximate diameters. Use the chart to answer the question. 
What is the gauge of the wire with a diameter of 
inch?
A. 16 gauge B. 12 gauge C. 10 gauge D. 14 gauge