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| Name the 5 steps for standard deviation. |
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Definition
1. subract the mean from each data point
2. square your answers
3. add all answers together
4. take sum and divide by # of sample
5. take quotent and find √x |
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Fill in the blanks for the following example of Standard Deviation:
Mean of 10,12=_____
10-____=-1__=____
12-____=1__=____
___+____=2
2/____=1
√___=1
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| What is standard deviation used for? |
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| It gives a measure of the percision of a method. |
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Class average acceleration=9.6m/s/s±0.4m/s/s
Express this as a percentage of the value for the acceleration. |
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Class average acceleration=9.6m/s/s±0.4m/s/s
Compare the class average value for the acceleration with the acceleration of gravity. |
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Class average acceleration=9.6m/s/s±0.4m/s/s
Express the experomental error as a percentage of the value for acceleration. |
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Definition
| (ι9.8-9.6ι / 9.8)(100)=2% |
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| In an experiment to measure acceleration of a free falling object that involves using a wire and a spark timer, name three possible factors that might reduce the measured acceleration of the mass from the known acceleration of the gravity. |
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-human error
-air resistance
-wire is not straight and can cause object to hit paper |
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An object is dropped from rest and falls for 3.5 seconds.
Find:
A) the speed of the object
B) the distance the object has fallen |
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A) v=gt=(9.8m/s)(3.5s)=34.3m/s/s
therefore the object was traveling at 34.3 meters per second per second
B) d=(1/2)gt2=(1/2)(9.8m/s)(3.5s)2=60m
therefore the object fell for 60 meters |
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A rock is dropped from the top of a 30 m high cliff.
Find:
A) how long it will take to hit the ground
B) the speed as it hits the ground |
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Definition
A) d=(1/2)gt2
30m=(1/2)(9.8m/s2)t2
√(60m/9.8m/s2)=√t2
2.5s=t
therefore, it will take the rock 2.5 seconds to hit the ground
B) v=gt=(9.8m/s2)(2.5s)=24.5m/s
therefore, the rock will be traveling a speed of 24.5 meters per second when it hits the ground |
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