Determining The Relationship Between Acceleration And Constant Mass
Purpose The purpose of this experiment was to (Using Matlab) determine the relationship between acceleration and applied force when the total system mass is held constant (Constant Mass), and the relationship between acceleration and total mass when the applied force is held constant (Constant Force).
Apparatus
Figure 1
Materials/Apparatus Parts
• Cart and Cart ramp
• Ultra Pulley + Photogate
• C Clamp to mount Smart Pulley/Photogate
• Vernier Lab Pro
• Logger Pro
• Mass Set and 1 Hanger
• Block Masses
• C Clamp
Procedure
Constant Mass
1. We made sure that the apparatus is set up as shown in Figure 1.
2. Filled out data table #1 using several techniques in logger pro.
3. During the first trial we placed a few small weights on the cart …show more content…
We reassembled as necessary making sure that the apparatus appeared as shown in Figure 1.
2. We used data table 2 to record the many accelerations
3. Put a 100-gram weight on the hanger and left it constant throughout the five data sets.
4. We weighed the cart plus the five 500-gram blocks.
5. We taped down all four of the 500-gram blocks on the cart.
6. During the first trial, the cart had all five 500-gram weights upon it.
7. The cart was pulled ~50 cm back from the stop and released, data was collected using logger pro.
8. We highlighted the part of the graph produced that had the seemingly straight-line slope, zoomed in, and clicked the Linear Fit button to get the slope of the line. This was recorded as acceleration.
9. Steps 7 and 8 were repeated twice more.
10. During the second trial, we removed one of the 500-gram blocks from the cart and subtracted the mass of the block from the mass of the cart plus its former amount of blocks.
11. Steps 7 through 10 were repeated 4 more times, for a total of 5 data sets
Data
Data Table 1: Constant Mass
Total System Mass = 0.630 kg
Hanging Mass (Kg) A1(m/s2) A1(m/s2) A1(m/s2) Mean Acceleration
0.05 0.71 0.72 0.69 0.71
0.06 0.82 0.81 0.78 0.81
0.07 1.0 1.0 1.0 …show more content…
This is derived from Newton’s second law.
Analysis of Constant Mass Experiment
The goal of this subsection is to analyze how the relationship between force and acceleration while the total system mass remained constant. So, on the basis of this graph as applied force increases the acceleration increases.
Log10(a) vs Log10(F) Log10(a)=0.079 + 0.69 (log10(F))
The equation for this graph is a =
Apparatus
Figure 1
Materials/Apparatus Parts
• Cart and Cart ramp
• Ultra Pulley + Photogate
• C Clamp to mount Smart Pulley/Photogate
• Vernier Lab Pro
• Logger Pro
• Mass Set and 1 Hanger
• Block Masses
• C Clamp
Procedure
Constant Mass
1. We made sure that the apparatus is set up as shown in Figure 1.
2. Filled out data table #1 using several techniques in logger pro.
3. During the first trial we placed a few small weights on the cart …show more content…
We reassembled as necessary making sure that the apparatus appeared as shown in Figure 1.
2. We used data table 2 to record the many accelerations
3. Put a 100-gram weight on the hanger and left it constant throughout the five data sets.
4. We weighed the cart plus the five 500-gram blocks.
5. We taped down all four of the 500-gram blocks on the cart.
6. During the first trial, the cart had all five 500-gram weights upon it.
7. The cart was pulled ~50 cm back from the stop and released, data was collected using logger pro.
8. We highlighted the part of the graph produced that had the seemingly straight-line slope, zoomed in, and clicked the Linear Fit button to get the slope of the line. This was recorded as acceleration.
9. Steps 7 and 8 were repeated twice more.
10. During the second trial, we removed one of the 500-gram blocks from the cart and subtracted the mass of the block from the mass of the cart plus its former amount of blocks.
11. Steps 7 through 10 were repeated 4 more times, for a total of 5 data sets
Data
Data Table 1: Constant Mass
Total System Mass = 0.630 kg
Hanging Mass (Kg) A1(m/s2) A1(m/s2) A1(m/s2) Mean Acceleration
0.05 0.71 0.72 0.69 0.71
0.06 0.82 0.81 0.78 0.81
0.07 1.0 1.0 1.0 …show more content…
This is derived from Newton’s second law.
Analysis of Constant Mass Experiment
The goal of this subsection is to analyze how the relationship between force and acceleration while the total system mass remained constant. So, on the basis of this graph as applied force increases the acceleration increases.
Log10(a) vs Log10(F) Log10(a)=0.079 + 0.69 (log10(F))
The equation for this graph is a =