A 200g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz

Question

A 200g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz and an amplitude of 5.0 cm. The mass is pulled 2.5 cm to the right and given an initial velocity of 54.41 cm/s to the right.

G. Write the equation of motion for

position x(t), velocity v(t) and acceleration a(t)(2)

H. Draw a position time graph. (x (t) vs t)

I. Draw a velocity-time graph. (v (t) vs t)

J. Draw an acceleration-time graph. (v (t) vs t)

K. Write the equation of potential energy vs time. Plot the graph.

L. Write the equation of kinetic energy vs time. Plot the graph.

M. Answer the following questions: How many times during a cycle

1. Is the mass at an extreme position?

2. Does the mass have a maximum positive velocity?

3. Does the mass have a maximum speed?

4. Does the mass have a maximum potential energy?

5. Does the mass have a maximum kinetic energy?

Explanation / Answer

In a cycle the mass is at its extreme position for 2 times. It is only for once during a cycle. It has its maximum speed twice during a cycle. Twice in a cycle. Twice in a cycle.

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