Question:

Oscillations: equilibrium and period/frequency

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Background Info:

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Consider a block of mass m attached to a spring with force constant k, as shown in the figure http://session.masteringphysics.com/problemAsset/1003614/20/168450A.jpg . The spring can be either stretched or compressed. The block slides on a frictionless horizontal surface, as shown. When the spring is relaxed, the block is located at x=0. If the block is pulled to the right a distance A and then released, A will be the amplitude of the resulting oscillations.

Assume that the mechanical energy of the block-spring system remains unchanged in the subsequent motion of the block.

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The following questions refer to the figure http://session.masteringphysics.com/problemAsset/1003614/20/168450B.jpg that graphically depicts the oscillations of the block on the spring.

Note that the vertical axis represents the x coordinate of the oscillating object, and the horizontal axis represents time.

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Which points on the x axis are located a distance A from the equilibrium position?

A: R only

B: Q only

C: both R and Q

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Suppose that the period is T. Which of the following points on the t axis are separated by the time interval T?

A: K and L

B: K and M

C: K and P

D: L and N

E: M and P

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Now assume that the x coordinate of point R is 0.12 m and the t coordinate of point K is 0.0050 s.

What is the period T ?

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How much time t does the block take to travel from the point of maximum displacement to the opposite point of maximum displacement?

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What distance d does the object cover during one period of oscillation?

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What distance d does the object cover between the moments labeled K and N on the graph?

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Please state the correct answer from setup of formulas to final answer and explain your answers reasoning clearly

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1 ANSWERS


  1. 1) C; both R and Q

    2) C; K and P

    3) T = 0.02 s

    4) t = 0.01 s

    5) d = 0.48 m

    6) d = 0.36 m

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