question archive EGB113 Energy in Engineering Systems S1 2021 MT1A CONSERVATION OF ENERGY Before starting this report, go to the EGB113 BB site under "Learning Resources - Laboratory Work" then: Read through the MT1A lab manual instructions
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EGB113 Energy in Engineering Systems S1 2021
MT1A CONSERVATION OF ENERGY
Before starting this report, go to the EGB113 BB site under "Learning Resources - Laboratory Work" then:
Marking Criteria:
Criteria |
Standards |
Marks |
Recorded data |
|
/2 |
Interpretation of Graphs and Graph data |
|
/4 |
Data Analysis |
|
/8 |
Conceptual Understanding
|
|
/6 |
|
TOTAL |
/20 ≡ /10 |
MT1A CONSERVATION OF ENERGY
Interpretation of Graphs and Graph data
Determine the value of the spring constant from Graph 1 in the appendix:
k = enter k value
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Determine the compression of the spring from the change in position of the cart+block in Graph 1 in the appendix:
Answer: x = enter x value
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How would you use Graph 2 in the Appendix to determine the force of kinetic friction? Over what time interval would you select data points? NOTE: Do not use this graph to calculate the force - your data is provided in Tables 1 and 2.
Answer:
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Draw a free body diagram of the forces acting on the block+cart as a singular mass when they are pushed by the cart with the force sensor over this time interval.
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Data Analysis
Using the data from the appendix, show ONE sample calculation for the normal force of the cart+block on the horizontal track.
Answer:
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Using the data from the appendix, show ONE sample calculation for the coefficient of kinetic friction between the felt and the track.
Answer:
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In the table below, enter the corresponding data given in the appendix. Also enter your calculated answers for the normal force and coefficient of kinetic friction for each trial to an appropriate number of significant figures.
Felt Trial |
Mass Cart+Block+Added Mass ( ) |
Applied Force ( ) |
Normal Force ( ) |
Felt μk |
1 |
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2 |
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3 |
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4 |
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Average mk for felt = ____________
In the table below enter the corresponding data given in the appendix. Also enter your calculated answers for the normal force and coefficient of kinetic friction for each trial to an appropriate number of significant figures.
Cork Trial |
Mass Cart+Block+Added Mass ( ) |
Applied Force ( ) |
Normal Force ( ) |
Cork μk |
1 |
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2 |
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3 |
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4 |
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Average mk for cork = ____________
In the tables below enter the data given in Tables 4 and 5 of the experimental observations in the appendix. Also enter your calculated answers for measured distance for each trial to an appropriate number of significant figures.
Felt Trial |
Initial Position ( ) |
Final Position ( ) |
Distance ( ) |
1 |
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2 |
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3 |
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Cork Trial |
Initial Position ( ) |
Final Position ( ) |
Distance ( ) |
1 |
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2 |
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3 |
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Using Equation 10 from the MT1A laboratory manual and the data from your previous tables, show calculations for the theoretical displacement of the cart+block for both felt and cork.
Answer:
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In the table below enter the average measured distances and theoretical calculated displacements to an appropriate number of significant figures. Also enter your calculated answers for percentage difference between the measured and theoretical values, noting the sign (+ or -) in each case, where
% Difference= Measured-TheoreticalTheoretical×100%
Material |
Average Measured Distance ( ) |
Theoretical Displacement ( ) |
% Difference |
Felt |
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Cork |
Discussion
Compare the coefficient of kinetic friction values you obtained for felt and cork. Which one would be expected to have the higher coefficient value? Do your results agree with this?
Answer:
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Compare your distance measurements to the theoretical values you calculated. Suggest some likely causes of any differences from the theoretical values that may have arisen.
Answer:
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With the coefficient of kinetic friction values calculated for the felt and the cork, at what angle would the block velocity be constant on each surface with no applied forces? Show calculations for each.
Answer:
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Table 1 – Determination of the coefficient of kinetic friction for felt on metal
Felt Trial |
Mass Cart+Block (kg) |
Mass Added Mass (kg) |
Applied Force (N) |
1 |
0.318 |
0 |
0.882 |
2 |
0.318 |
0 |
0.803 |
3 |
0.318 |
0.500 |
2.053 |
4 |
0.318 |
0.500 |
2.031 |
Table 2 – Determination of the coefficient of kinetic friction for cork on metal
Cork Trial |
Mass Cart+Block (kg) |
Mass Added Mass (kg) |
Applied Force (N) |
1 |
0.318 |
0 |
1.519 |
2 |
0.318 |
0 |
1.582 |
3 |
0.318 |
0.500 |
3.992 |
4 |
0.318 |
0.500 |
4.018 |
Table 3 – Ramp angle
Material |
( ° ) |
Felt |
10 |
Cork |
15 |
Table 4 – Measured displacement of cart + felt block
Felt Trial |
Initial position (m) |
Final position (m) |
1 |
1.01 |
0.76 |
2 |
1.01 |
0.78 |
3 |
1.01 |
0.81 |
Table 5 – Measured displacement of cart + cork block
Cork Trial |
Initial position (m) |
Final position (m) |
1 |
1.01 |
0.92 |
2 |
1.01 |
0.90 |
3 |
1.01 |
0.88 |
Graph 1
Graph 2
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