Description
Hi, I need to answer all the questions that are in the lab report and all the calculations have to be shown and the graphs have to have the names in the x axis and y axis, also the graphs have to have the 'statistic part inside the graph. In the conclusions, it is necessary to put them in part, not in the form of a paragraph, otherwise each question must be answered individually, please, be guided by appendix C. and THE BOOK WE USE IS THE ONLY REFERENCE WE CAN USE FOR THE FORMULAS AND FOR DEFINITIONS AND FOR THE CONCLUSION I WILL SEND IT TO YOU.Thank you
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Explanation & Answer

Hello buddy, have a look at it and get back to me
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
Lab “Newton’s Second Law.”
Purpose:
To find the graphical and mathematical relationship between the Net force applied to an object, its mass and the
resulting acceleration.
Materials:
•
•
•
•
Dynamic Cart with pegs
Force Sensor
Motion Detector
Computer with Logger Pro
•
•
•
•
Lab Pro
Ramp with Pulley
Mass Sets
String
Preliminary Questions: For the situation describe above in the picture, you hold the cart and then let it go,
consider the ramp frictionless, answer the following questions:
1. What are the forces acting on the cart when held and when let go? Make a free body diagram for each
situation
2. What are the forces acting on the hanging mass when held and when let go? Make a free body diagram
for each situation
3. Is the tension on the car before moving equal, larger, or smaller than when the object is in motion?
Procedure:
1. Assembly:
• Place the ramp on two boxes to raise it from the table and place the pulley at the end of the ramp;
• Mount the force senor on the cart, using the pin given by the professor;
• Place the Motion Sensor at the end of the ramp;
• Use a string to connect the force sensor to the hanging mass;
2. Connections:
• Connect the force sensor to the channel 1 of the Lab Pro;
• Connect the motion sensor to the DIG 1 of the Logger Pro;
3. Open Logger Pro in your computers, zero the sensors with no tension on the string.
4. Determine the Total Mass of the Cart Force Sensor System. Record it.
1
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
5. Hang 25 g and let it hang at the end by the pulley. Let it go
6. Determine the acceleration (slope of the velocity vs. time graph) and the Force (Mean value of the Force
vs. Time graph)
7. Complete the Data Tables.
8. Save the graphs for one of your trial.
Data:
Mass of the Cart Sensor System: _______0.606______ kg
Mass(g)
25
35
Trial One
(N)
0.240
0.347
Trial Two
(N)
0.245
0.313
Trial Three
(N)
0.246
0.288
Average
Force (N)
0.244
0.316
45
0.426
0.386
0.406
0.406
55
0.504
0.520
0.500
0.508
65
0.595
0.610
0.613
0.606
75
0.683
0.666
0.671
0.673
Mass(g)
25
35
Acceleration
One
(m/s2)
0.320
0.486
Acceleration
Two
(m/s2)
0.324
0.491
45
0.616
0.608
0.634
0.619
55
0.746
0.781
0.760
0.762
65
0.878
0.889
0.890
0.886
75
0.996
1.020
1.063
1.026
Acceleration
Average
Three
Acceleration
(m/s2)
(m/s2)
0.320
0.321
0.476
0.484
Average
acceleration (m/s2)
0.321
0.484
0.619
0.762
0.886
1.026
Average Tension
(N)
0.244
0.316
0.406
0.508
0.606
0.673
2
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
Analysis:
1. Graph the relationship between Acceleration (y-axis) and Tension (x-axis)
Figure 1: Graph of Acceleration Against Tesnion
2. Determine the mathematical relationship (linear) between the acceleration and the Tension.
Acceleration of the mass cart system is directly proportional to tension in the rope
A∝T
A = kT
3. What is the meaning of the slope of the graph?
The slope is the inverse of mass of the cart sensor system
4. What are the units of the slope of the acceleration vs. force graph? Simplify the units of the slope to
fundamental units (m, kg, s).
Units of slope is kg-1
5. What is the meaning of the y-intercept?
Negative acceleration (Deceleration) due to friction force.
6. Write the equation describing the relationship between mass, acceleration, and force.
Acceleration (A)
Tension (T)
A = 1.556 kg-1T- 0.03114 m/s2
3
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
7. Calculate the mass of the cart sensor system:
1
1
m cs =
= 1.556 𝑘𝑔−1 = 0.643 𝑘𝑔
slope
8. Calculate the percentage error of your experiment:
%𝑒𝑟𝑟𝑜𝑟 =
=
|𝑟𝑒𝑎𝑙−𝑐𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑒𝑑|
𝑟𝑒𝑎𝑙
|0.606−0.643|
0.606
× 100%
× 100% = 6%
9. For the trail that you saved calculate the following:
• The hanging mass (mh) using the average tension (Tave) when the object was not moving:
For mass 25 g
𝑚ℎ =
𝑇𝑎𝑣𝑒
𝑔
=
0.2071
9.792
= 0.02115 𝑘𝑔
4
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
For mass 45 g
𝑚ℎ =
𝑇𝑎𝑣𝑒
𝑔
=
0.3960
9.792
= 0.04044 𝑘𝑔
For mass 65 g
𝑚ℎ =
𝑇𝑎𝑣𝑒
𝑔
=
0.5912
9.792
= 0.06038 𝑘𝑔
5
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
•
Compare it with the real hanging mass used in the trial by calculating a percentage error.
= %𝑒𝑟𝑟𝑜𝑟 =
|𝑟𝑒𝑎𝑙−𝑐𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑒𝑑|
𝑟𝑒𝑎𝑙
× 100%
For mass 25 g
=
|0.025−0.02115|
0.025
× 100% = 15%
For mass 45 g
=
|0.045−0.04044|
0.045
× 100% = 10%
For mass 65 g
=
•
|0.065−0.06038|
0.065
× 100% = 7%
For three different hanging masses calculate the acceleration of the cart using:
𝑚ℎ ∙𝑔
𝑎=𝑚
ℎ +𝑚𝑐𝑠
;
For mass 25 g
0.02115×9.792
𝑎 = 0.02115+0.643 = 0.3118 𝑚/𝑠 2
For mass 45 g
0.04044×9.792
𝑎 = 0.04044+0.643 = 0.5794 𝑚/𝑠 2
For mass 65 g
0.06038×9.792
𝑎 = 0.06038+0.643 = 0.8406 𝑚/𝑠 2
•
Compare the acceleration with the one obtained in the trial, find a percentage error.
For mass 25 g
=
|0.3118−0.321|
0.3118+0.321
× 100% = 1.5%
For mass 45 g
=
|0.5794−0.619|
0.5794+0.619
× 100% = 3%
For mass 65 g
=
|0.8406−0.886|
0.8406+0.886
× 100% = 3%
6
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
Conclusions: Please Follow Appendix C
•
•
Statement for Newton’s 2nd Law;
The acceleration of an object is directly proportional to the net force acting on it, and is inversely
proportional to the object’s mass. The direction of the acceleration is in the direction of the net force
acting on the object.
Definition of Mass, Acceleration, and Force;
Mass - is a measure of the inertia of an object.
Acceleration – it is the rate of change of velocity.
Force - is an action capable of accelerating an object.
•
Definitions of gravitational and inertial mass and compare them.
Gravitational - The mass of a body as measured by its gravitational attraction for other bodies.
Inertial mass - is a mass parameter giving the inertial resistance to acceleration of the body when
responding to all types of force.
•
General Equation for Newton’s 2nd Law;
∑ 𝐹 = 𝑚𝑎
•
Particular equation for the acceleration in this case.
∑ 𝐹 = 0.606𝑎
7
Hello buddy, have a look at it and get back to me
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
Lab “Newton’s Second Law.”
Purpose:
To find the graphical and mathematical relationship between the Net force applied to an object, its mass and the
resulting acceleration.
Materials:
•
•
•
•
Dynamic Cart with pegs
Force Sensor
Motion Detector
Computer with Logger Pro
•
•
•
•
Lab Pro
Ramp with Pulley
Mass Sets
String
Preliminary Questions: For the situation describe above in the picture, you hold the cart and then let it go,
consider the ramp frictionless, answer the following questions:
1. What are the forces acting on the cart when held and when let go? Make a free body diagram for each
situation
Held
1
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
Let go
2. What are the forces acting on the hanging mass when held and when let go? Make a free body diagram
for each situation
Held
Let go
2
Miami Dade College/ North Campus
PHY1048L/PHY2053L/PHY1004L
3. Is the tension on the car before moving equal, larger, or smaller than when the object is in motion?
It is smaller. Dynamic friction is less than static friction.
Procedure:
1. Assembly:
• Place the ramp on two boxes to raise it from the table and place the pulley at the end of the ramp...
