Question
Asked Oct 28, 2019

A small cart with low friction wheels is attached to a sturdy wall with a high quality spring that has negligible internal damping. Use a coordinate system where the cart is at equilibrium when the cart’s indicator points to 0. The cart at rest is shown in the figure at the right. The cart has a mass of 0.750 kg and the spring constant is 12 N/m.

The cart is pulled to the right by 0.1 m and released at time t = 0. It then oscillates back and forth. As the cart oscillates, various variables associated with the cart’s motion change. For each variable, put the letter of the graph that could represent the time dependence of that variable if the vertical axis were given the right units. (Note that the time units are given and 4 s are shown in each graph.)

You may use a graph more than once and if there is no graph that correctly describes the variable, put N.

4. Net force on the cart.
 ---Select--- A B C D E F G H None

5. Force the spring exerts on the cart.
 ---Select--- A B C D E F G H None

A
В
VWAA
e(
e
C
D
5
ww wwA
F
V
c.5
G
H
ES
1-5
2.S
3.5
అ
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A В VWAA e( e C D 5 ww wwA F V c.5 G H ES 1-5 2.S 3.5 అ

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0
x
www
O000
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0 x www O000

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check_circleExpert Solution
Step 1

The formula for the time period of the oscillation is:

T=2元,
k
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T=2元, k

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Step 2

Substitute the known values and solve as:

0.750 kg
T 27T
12 Ν/m
= 1.57 s
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0.750 kg T 27T 12 Ν/m = 1.57 s

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Step 3

Now, observe the provided graphs. The time period of the graph A and graph G is 1.57 s. For rest of the gra...

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