Question

You attach a 150 g mass on a spring hung vertically.

a. If the spring initially stretches 16 cm when you hang the mass on it, what is the spring constant?

b. How long will one oscillation take?

The spring is now oriented horizontally and attached to a glider on a frictionless airtrack. The glider also has mass of 150 g. You want to observe the oscillations of this horizontal springmass system in the lab with a motion detector. You stretch the spring so that the mass is 5.0 cm to the right of its equilibrium position and release it. You then push the start on the motion detector, but the delay is such that the mass is now 1.0 cm to the left of the equilibrium position and moving to the left at time t=0.0 s on the detector output. For the next part, use clearly labeled, accurate, numerical axes.

c. Draw a position vs time graph of the mass for two cycles of the motion. Use the equilibrium position as x=0 and the first moment the detector records as t=0.

d. Draw a velocity vs. time graph of the mass for two cycles of the motion.

e. Draw an acceleration vs. time graph of the mass for two cycles of the motion.

f. On each graph, draw a circle around the points where the Kinetic Energy of the system is zero.

g. On each graph, draw a square around the points where the Elastic Potential Energy is zero.

h. If you replace the original glider with a 300 g glider, what will be the frequency of oscillations for this new mass/spring system?

Answer 1

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