A

2.0kg

block is connected to a spring as it oscillates\ horizontally on a table where there is negligible friction\ between the table and the block as shown in the figure. At the\ instant of time pictured, the block is displaced

\\\\Delta x=+2cm

to the\ right of equilibrium (at

x=0

) and is moving to the right. For\ this question, use the coordinate system with positive

x

as being\ to the right of equilibrium.\ a. Using the graphs from Question 1, at which of the\ following time(s) is the snapshot taken? Explain your\ reasoning. (You may have more than one answer.)\ i.

(1)/(3)s

\ ii.

(2)/(3)s

\ iii.

(4)/(3)s

\ iv.

(5)/(3)s

\ b. Two students are discussing their answer to the previous question:\ Student 1: I think that it can be either at

t=(1)/(3)s

or

(5)/(3)s

because those are the times when the\ graph is at

x=+2cm

.\ Student 2: I agree that those are the times when the graph is at

x=+2cm

, but at only one of those\ times is its velocity to the right. I think this happens only at

t=(1)/(3)s

.\ Both of these students have errors in their reasoning. Briefly explain why.\ c. Draw a force diagram for the block at the snapshot shown, making sure that the lengths of the\ force vectors are scaled appropriately.\ d. What is the angular frequency,

\\\\omega

, of oscillations? Determine the spring constant.

2. A 2.0kg block is connected to a spring as it oscillates horizontally on a table where there is negligible friction between the table and the block as shown in the figure. At the instant of time pictured, the block is displaced x=+2cm to the right of equilibrium ( ax=0 ) and is moving to the right. For this question, use the coordinate system with positive x as being to the right of equilibrium. a. Using the graphs from Question 1, at which of the following time(s) is the snapshot taken? Explain your reasoning. (You may have more than one answer.) i. 1/3s ii. 2/3s iii. 4/3s iv. 5/3s b. Two students are discussing their answer to the previous question: Student 1: I think that it can be either at t=1/3 s or 5/3s because those are the times when the graph is at x=+2cm. Student 2: I agree that those are the times when the graph is at x=+2cm, but at only one of those times is its velocity to the right. I think this happens only at t=1/3s. Both of these students have errors in their reasoning. Briefly explain why. c. Draw a force diagram for the block at the snapshot shown, making sure that the lengths of the force vectors are scaled appropriately. d. What is the angular frequency, , of oscillations? Determine the spring constant