Question

2. Choose the data from one of the objects from Table 1. The previous class measured the time t it takes to roll the entire distance d down the ramp multiple times to decrease the random error. DATA:

Object # =3 | ramp angle =5 | ||||||||

radius = 12.5 | |||||||||

mass = 70.8 | |||||||||

run times | |||||||||

trial 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

2.21 | 2.37 | 2.14 | 2.23 | 2.11 | 2.3 | 2.13 | 2.31 | 2.03 | 2.11 |

4. Calculate the acceleration of object’s center of mass using
the equation below: a_{cm} = 2d/t^{2}3. Calculate
average, standard deviation, and standard error for the time. What
source of systematic error is expected in this measurement?

5. How is the equation you just used in step 5 derived?

Answer #1

**Okay, I will find average, standard deviation, and
standard error for the time. **

average of given times

T = 2.21 + 2.37 + 2.14 + 2.23 + 2.11 + 2.3 + 2.13 + 2.31 + 2.03 + 2.11 / 10

T = 2.194 seconds

Now,

**To find standard deviation, we subtract each reading
from the mean, then square it, then add them up and divide by 10
and then take the square root.**

so,

sum of squares = 0.10524

divide it by 10, we get = 0.010524

then

**standard deviation = 0.10813572**

and

standard error = standard deviation /

where n = sample size = 10

so,

**standard error = 0.034195**

________________________________

**These systematic errors are usually caused by measuring
instruments that are incorrectly calibrated or are used
incorrectly.**

The Carlson Department store suffered heavy damage when a
hurricane struck on August 31. The store was closed for four months
(September through December), and Carlson is now involved in a
dispute with its insurance company about the amount of lost sales
during the time the store was closed. Two key issues must be
resolved (1) The Amount of sales Carlson would have made if the
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DataTable 1
Focal length, f
1.76
2f
3.52
Height of object, ho
4.0
Data Table 2
General Description
Object Dist. (cm)
Image Dist. (cm)
Object Size (cm)
Image Size (cm)
Other Observations (real, virtual or no image?) (Upright or
inverted image?)
Object about 5 f
10
74.04
4
-29.62
Real, inverted
Object about 2.5f
10
7.87
4
-3.15
Real, inverted
Object 2f
10
5.44
4
-2.18
Real, inverted
More than f and less than 2f
10
4.29
4
-1.71
Real,...

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