Waves Unit I: Worksheet 3

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Waves Unit I: Worksheet 3

Above is a block with a mass of 0.51 kg resting on a frictionless surface. The block is attached to the end of a spring with a spring constant of 20.0 N/m. The block is moved to the right 30.0 cm and released at time t = 0.

a. Solve for the period of oscillation for the block.

b. Draw a force diagram for the block at the moment it reaches position -30.0 cm.

c. Solve for the net force acting on the block the moment it reaches position -30.0 cm.

d. Solve for the acceleration of the block the moment it reaches position -30.0 cm.

e. Solve for the speed of the block when it passes position x = 0.

f. Solve for the kinetic energy of the block as it passes position x = 0.

g. On the grid below make a graph of the position of the block as a function of time for two oscillations. Begin at time t = 0 when the block is released. Label each axis with the variable and the unit. On the y-axis place the numerical values of any maxima and minima. On the x-axis place the numerical value for the time at the end of each period.

h. On the grid below make a graph of the velocity of the block as a function of time for two oscillations. Label each axis with the variable and the unit. On the y-axis place the numerical values of any maxima and minima. On the x-axis place the numerical values for the time at the end of each period.

i. On the grid below make a graph of the acceleration of the block as a function of time for two oscillations. Label each axis with the variable and the unit. On the y-axis place the numerical values of any maxima and minima. On the x-axis place the numerical values for the time at the end of each period.

j. On the grid below make a graph of the net force acting on the block as a function of time for two oscillations. Label each axis with the variable and the unit. On the y-axis place the numerical values of any maxima and minima. On the x-axis place the numerical values for the time at the end of each period.

k. On the grid below make a graph of the kinetic energy of the block, the elastic energy of the spring and the total energy of the spring/block system as functions of time for two oscillations. Label the y-axis Energy along with its unit. On the y-axis place the numerical values of any maxima and minima. On the x-axis place the numerical values for the time at the end of each period. When done with the three lines label one line Eel, one line Ek, and one line Etotal.

k. On the grid below make a graph of the kinetic energy of the block, the elastic energy of the spring and the total energy of the spring/block system as functions of position for two oscillations. Label the y-axis Energy along with its unit . On both x-axis and the y-axis place the numerical values of any maxima and minima. When done with the three lines label one line Eel, one line Ek, and one line Etotal.