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Motion of a Freely Falling Body
Student name: Amr Issa Student name: Mohammed BinSultan Student name: Saleh Alhaidar Student name: Abdulaziz Reda ** Any value without unit will be considered not correct. ** No more than 4 students for each lab report. ** Each lab report must belong to the same section (day & time), otherwise you will get zero grade Knowledge โ K1 __________________/2 points [SO1]
- Student demonstrates relevant knowledge of the topic
- Student demonstrated the use of logic, math, and physical concepts to solve problems Interpersonal Skills _________________/ 7 points [SO 3]
- Student demonstrated skills in acquisition of data
- Student demonstrated analytical reasoning to interpret experimental data Communication and IT Skills ________________/ 1 [SO 4]
- The Aim of the experiment was communicated effectively. TOTAL _____________________ /10 points
Communication
Aim: [1 point]
Determining acceleration due to the gravity of objects. .
Part A: Knowledge
Question 1: [1 points]
Starting with the equation of distance as a function of time for a freely falling object ๐(๐) =
๐ ๐
๐๐๐^ , show how this equation leads to the formula ๐(๐) =
๐ ๐
๐๐๐^ as described in
the lab work
Since we are testing for the acceleration of gravity the initial height doesn't matter as all
objects fall at the same rate, as for initial velocity it will always be zero as we are doing a
free fall experiment so removing to simplify the equation would be more favorable and more
intuitive.
Question 2: [1 points]
Suppose you hold an object motionless about 1.5 meter above the ground and then let it fall to
the ground without interference. About how long does it take to hit the ground? Use the
kinematic equations to make your calculations
Vi= 0 a= - 9.8 y= - 1.
โy = viโt +1/2aโtยฒ
- 1.5=0โt + 1/2(-9.82) โtยฒ
4. 905 โtยฒ=1.
tยฒ = 0.
Part C: Answer all the following questions
Question 3 : answer the following: [2 points] a) Plot a graph of y (on y-axis) vs ๐๐^ (on x-axis). In your graph you MUST show (1-graph equation, 2- slope, 3-units, 4 description of the graph) to get full grade in this question b) What is the value of the slope of this graph? [0.25 Point]
Slope= 4.
c) What is the theoretical value of the acceleration due to gravity? [0.25 Point]
d) What is the experimental value for the acceleration due to gravity calculated using the slope of your graph? Show your work [1 Point]
Slope = 4.
4.1318 x 2 = 8.
e) Why are your theoretical values not exactly the same as your experimental results? [0. Point] Briefly, Theoretical values are under perfect conditions those conditions being in a vacuum which only allows the force of gravity to act upon the object, my tested values did not have the opportunity of being in a perfect environment, and as such were different from the theoretical values. Question 4 : [ 1 point] What is the percent error in the values of (g) calculated? Use the formula: ๐๐๐๐๐๐๐ก๐๐๐ ๐๐ ๐๐๐๐๐ % = |
| ร 100
๐โ๐๐๐๐๐ก๐๐๐๐ ๐๐๐๐ฃ๐๐ก๐ฆ ๐๐๐๐๐๐๐๐๐ก๐๐๐ โ ๐ (^) ๐กโ๐๐ โ 9. 8 ๐/๐ ^2 ๐ธ๐ฅ๐๐๐๐๐๐๐๐ก๐๐ ๐๐๐๐ฃ๐๐ก๐ฆ ๐๐๐๐๐๐๐๐๐ก๐๐๐ โ ๐ (^) ๐๐ฅ๐ โ ๐๐๐๐ ๐กโ๐ ๐๐๐๐โ
|8.26-9.8/9.8 |ร 100 = 15.71%
