Open the PhET simulation https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and- springs en.html and choose "Lab". Set gravity and damping to zero and the spring constant to the smallest value. Hook the 100-gram mass to the spring and pull it away from equilibrium and release. Click on "Slow" to better observe the experiment. You can also use the zoom button to magnify the energy graphs. a. What is true of the total mechanical energy during the undamped oscillations? b. What is the kinetic energy when the elastic potential energy is maximum? c. What is the elastic energy when the kinetic energy is maximum? d. Now increase the damping to a small but non-zero value. What happens to the mechanical energy? Where does it go? Note that the bar on the right is the total energy: Etor=KE + Ut+Etherm not the mechanical energy.
Open the PhET simulation https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and- springs en.html and choose "Lab". Set gravity and damping to zero and the spring constant to the smallest value. Hook the 100-gram mass to the spring and pull it away from equilibrium and release. Click on "Slow" to better observe the experiment. You can also use the zoom button to magnify the energy graphs. a. What is true of the total mechanical energy during the undamped oscillations? b. What is the kinetic energy when the elastic potential energy is maximum? c. What is the elastic energy when the kinetic energy is maximum? d. Now increase the damping to a small but non-zero value. What happens to the mechanical energy? Where does it go? Note that the bar on the right is the total energy: Etor=KE + Ut+Etherm not the mechanical energy.
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Transcribed Image Text:1. Open the PhET simulation https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and-
springs en.html and choose "Lab". Set gravity and damping to zero and the spring constant to the smallest
value. Hook the 100-gram mass to the spring and pull it away from equilibrium and release. Click on "Slow" to
better observe the experiment. You can also use the zoom button to magnify the energy graphs.
a. What is true of the total mechanical energy during the undamped oscillations?
b. What is the kinetic energy when the elastic potential energy is maximum?
c. What is the elastic energy when the kinetic energy is maximum?
d. Now increase the damping to a small but non-zero value. What happens to the mechanical energy? Where
does it go? Note that the bar on the right is the total energy: Etot = KE + Uel + Etherm not the mechanical
energy.
2. The graph shows the x position of a small ball hooked onto a spring of spring constant 2000 N/m.
a. What is the mass of the ball?
N
40
30
20
10
%
5
10 15 20
time (ms)
25
b. What is the maximum potential energy stored in the spring during the oscillations? Assume U = 0 at
equilibrium.
Transcribed Image Text:c. What is the speed of the block when the displacement from equilibrium is 5 cm? Hint: use conservation of
mechanical energy.
d. What is the maximum speed during these oscillations? Hint: use conservation of energy and think about
what the potential energy is when the speed is maximum.
e. The experiment is repeated with the same mass and spring, but the amplitude is doubled. What happens to
each of the following quantities:
decreases unchanged doubles
• Maximum potential energy
quadruples
• Oscillation frequency
• Maximum kinetic energy
Maximum speed
decreases
decreases unchanged
decreases unchanged
unchanged doubles
doubles
doubles
quadruples
quadruples
quadruples
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