Question
In this task, we willdetermine the acceleration of an object close to the Earth's surface due to gravity. You will do this by dropping a
In this task, we willdetermine the acceleration of an object close to the Earth's surface due to gravity.
You will do this by dropping a number of objects and determining their rate of acceleration. It is up to you to choose which objects you drop (make sure they're notbreakable), the height from which you drop them, and how you will measure the time it takes for the object to fall from that height.
For this investigation you will be prompted for most parts, and even given some of the wording. In this task, anything initalicsmust be answered or completed; anything in regular type can be copied directly. As the course continues and we do more investigations, you will be expected to complete more and more of the process on your own. Check with your teacher if you have any questions.
Read through the lab instructions below, and develop a procedure. Once your teacher has approved your procedure, complete the inquiry, and submit the required parts below.
Purpose:The purpose of this lab is to determine the acceleration of an object close to the Earth's surface due to gravity.
Hypothesis:What do you estimate the value of acceleration due to gravity to be close to the Earth? Why do you think it will be this value?
Materials:Make a complete list of all the materials you use to collect your data.
Procedure:Describe how the data was collected. You should include:
- the number of objects dropped,
- how they were dropped,
- how the descent was timed,
- how the distance was measured,
- how variables (such as height, starting time, etc.) were controlled.
If someone was to reproduce this exact experiment, what would they need to know? Be sure your procedure is in past tense (use the passive voice). Be sure the procedure you create is safe.
Observations:Record your data in the following manner. Use a different table for each object.
Table 1
Object: ____________________________ Mass: __________________
Displacement () in m | Time (t) in s |
---|---|
Analysis:
- Calculate the average timeit took for the first object to travel the set distance to the floor.
- Determine the initial velocity for the object. This is not something you needed to measure -- think back to how you did the lab. What was the object's velocity the instant you let it go?
- Using your value of average time, and thedisplacement, solve the following equation for average velocity:
- Average velocity can also be written as the sum of the initial velocity and the final velocity, divided by two: Rearranging this to solve for the final velocity, we get: Using your value of average velocity, and your value for initial velocity, use the above equation to determine the final velocity of your object.
- Finally, using this value of final velocity, your value for initial velocity, and the average time of the drop, use the following equation to solve for the object's acceleration. Don't forget the units or the direction!
- Repeat the above steps for each of the objects you dropped, and summarize your results in a table.
- For each value of acceleration you calculate, compare it to the expected gravitational acceleration value of 9.8 m/. Do this by determining thepercentagedeviation of your value of acceleration, using the following formula: % deviation = [(measured value - accepted value) / accepted value] 100%
- Summarize your percent deviation results in a table.
- For error analysis in this lab, rank the following sources of error in order of greatest impact on your results to least impact on your results, andjustifyyour choices.
- Error in time reading ()
- Error in distance measured ()
- Reaction time (releasing the ball; starting/stopping timers)
- Imperfections on balls
- Inconsistency in start location
- Neglecting air resistance
Conclusion:In one or two sentences at most, summarize your findings, comparing your value of g to 9.8 m/[down].
Applications:Answer the following questions in paragraph form:
- In real life (as in, say, dropping an object from the CN Tower), what other factors would affect the acceleration of a falling object?
- Would it be possible to do the same analysis if the ball was thrown instead of simply released? Why or why not?
Double check the rubric to make sure you have everything you need, and then submit your work to your teacher in the manner specified.
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