A horizontal spring has a force constant 7.98 N/m and is attached to a wall at one end. A block of wood of mass 366 g is attached to the the other end. We assume that this system sits on a frictionless surface. The block is displaced by +6.90 cm from equilibrium and released from rest. a. What is the period of the motion? S b. What is the equation that describes the position of the block? Make sure to show your work in your notes. O -6.90 ×10*2 m cos (4.67 t) O 6.90 ×10*2 m cos (4.67 t) O 6.90 ×102 m cos (7.98 t+ T/2) 6.90 ×10-2 m cos (7.98 t) -6.90 x10-2 m cos (7.98 t) O 6.90 ×10-2 m cos (4.67 t + TI/2) c. What is the equation that describes the speed of the block? Make sure to show your work in your notes. O -0.322 m/s sin (4.67 t) O -0.551 m/s cos (7.98 t) -0.322 m/s sin (4.67 t + T/2) O -0.551 m/s sin (7.98 t+ 7/2) -0.322 m/s cos (4.67 t) O -0.551 m/s sin (7.98 t)

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A horizontal spring has a force constant 7.98 N/m and is attached to a wall at one end. A block of wood of
mass 366 g is attached to the the other end. We assume that this system sits on a frictionless surface.
The block is displaced by +6.90 cm from equilibrium and released from rest.
a. What is the period of the motion?
S
b. What is the equation that describes the position of the block? Make sure to show your work in your
notes.
-6.90 x102 m cos (4.67 t)
O 6.90 ×102 m cos (4.67 t)
6.90 x102 m cos (7.98 t+ 7/2)
O 6.90 ×102 m cos (7.98 t)
-6.90 x102 m cos (7.98 t)
O 6.90 x102 m cos (4.67 t + T/2)
c. What is the equation that describes the speed of the block? Make sure to show your work in your
notes.
-0.322 m/s sin (4.67 t)
-0.551 m/s cos (7.98 t)
-0.322 m/s sin (4.67 t + T/2)
-0.551 m/s sin (7.98 t+ T/2)
-0.322 m/s cos (4.67 t)
-0.551 m/s sin (7.98 t)
Transcribed Image Text:A horizontal spring has a force constant 7.98 N/m and is attached to a wall at one end. A block of wood of mass 366 g is attached to the the other end. We assume that this system sits on a frictionless surface. The block is displaced by +6.90 cm from equilibrium and released from rest. a. What is the period of the motion? S b. What is the equation that describes the position of the block? Make sure to show your work in your notes. -6.90 x102 m cos (4.67 t) O 6.90 ×102 m cos (4.67 t) 6.90 x102 m cos (7.98 t+ 7/2) O 6.90 ×102 m cos (7.98 t) -6.90 x102 m cos (7.98 t) O 6.90 x102 m cos (4.67 t + T/2) c. What is the equation that describes the speed of the block? Make sure to show your work in your notes. -0.322 m/s sin (4.67 t) -0.551 m/s cos (7.98 t) -0.322 m/s sin (4.67 t + T/2) -0.551 m/s sin (7.98 t+ T/2) -0.322 m/s cos (4.67 t) -0.551 m/s sin (7.98 t)
d. The block is now released from the same initial position, but with an initial velocity of -0.144 m/s.
What is the equation that describes the position of the block? Make sure to show your work in your
notes.
-6.90 x102 m cos (7.98 t)
O-7.56 x102 m cos (4.67 t + 0.420 rad)
O7.56 ×102 m cos (4.67 t + 0.420 rad)
7.56 x10-2 m cos (4.67 t - 0.420 rad)
O7.56 x102 m cos (4.67 t)
O 6.90 x102 m cos (4.67 t)
Transcribed Image Text:d. The block is now released from the same initial position, but with an initial velocity of -0.144 m/s. What is the equation that describes the position of the block? Make sure to show your work in your notes. -6.90 x102 m cos (7.98 t) O-7.56 x102 m cos (4.67 t + 0.420 rad) O7.56 ×102 m cos (4.67 t + 0.420 rad) 7.56 x10-2 m cos (4.67 t - 0.420 rad) O7.56 x102 m cos (4.67 t) O 6.90 x102 m cos (4.67 t)
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