Lab 112: Newton’s Second Law
1. Objective:
2. Theoretical background
3. Procedures
4. Results
a. Experimental Data
M_{g}=178.83g=0.17883kg, M_{g} is the mass of glider
M_{h}=40g=0.04kg, M_{h }is the mass of a hanging weight, M_{1}=50.28g, or 0.05028kg
X_{0}=90m, L=54.5m, X_{0} is the initial position of glider, and L is distance between 2 photogates.
ϴ=5^{o}, angle of inclined air track.
Total Glider mass (kg) |
Hanging mass M_{h}(kg) |
Acceleration (m/s^{2}) |
Time to travel distance L (s) |
Velocity at gate 1 V_{1} (m/s) |
Velocity at gate 2 V_{2} (m/s) |
M_{g} |
0.04 |
1.79 |
0.457 |
0.915 |
1.753 |
M_{g}+2M_{1} |
0.04 |
1.279 |
0.549 |
0.768 |
1.486 |
M_{g}+4M_{1} |
0.04 |
0.953 |
0.633 |
0.667 |
1.284 |
M_{g }ϴ=5^{o} |
0.04 |
1.141 |
0.569 |
0.732 |
1.396 |
M_{g}+2M_{1 }ϴ=5^{o} |
0.04 |
0.522 |
0.845 |
0.486 |
0.938 |
M_{g}+4M_{1} ϴ=5^{o} |
0.04 |
0.149 |
1.608 |
0.242 |
0.486 |
b. Calculation
(1)Finding acceleration
a=F/M= M_{h}(g)/(M_{g}+M_{h}). a=(40*9.8)/(178.83+40)=1.79m/s^{2}, we can the proceed to find values of acceleration by adding more mass to the glider.
(2)Finding acceleration at inclined angle
a=F/M=[M_{g}sin(5^{o})-M_{h}]*g / (M_{g}+M_{h}), a=[178.83*0.087-40]*(-9.8) / (178.83+40)=1.093m/s^{2}.
(3)Finding velocity
V^{2}=2ax, the v_{0} is zero and x is displacement from glider to gate 1, x is 0.196m for V_{1}, and 0.741m for V_{2}
V=sqrt[2*1.79*0.196]=0.838m/s
(4)Finding time
T=(V_{2}-V_{1})/a, T=(1.629-0.838)/1.79=0.442s
Total Glider mass (kg) |
Hanging mass M(kg) |
Acceleration (m/s^{2}) |
Time to travel distance L (s) |
Velocity at gate 1 V_{1} (m/s) |
Velocity at gate 2 V_{2} (m/s) |
M_{g} |
0.04 |
1.79 |
0.442 |
0.838 |
1.629 |
M_{g}+2M_{1} |
0.04 |
1.227 |
0.534 |
0.694 |
1.347 |
M_{g}+4M_{1} |
0.04 |
0.933 |
0.612 |
0.605 |
1.176 |
M_{g }ϴ=5^{o} |
0.04 |
1.093 |
0.565 |
0.656 |
1.272 |
M_{g}+2M_{1 }ϴ=5^{o} |
0.04 |
0.48 |
0.853 |
0.434 |
0.844 |
M_{g}+4M_{1} ϴ=5^{o} |
0.04 |
0.161 |
1.475 |
0.251 |
0.488 |
c. Error analysis
M_{g} (g) |
Pulse(s) |
V_{1}(m/s) |
V_{2}(m/s) |
a (m/s^{2}) |
Pulse(s) |
V_{1}(m/s) |
V_{2} (m/s) |
a(m/s^{2}) |
178.83 |
.0150 |
.0770 |
.1237 |
.0020 |
.0043 |
.0773 |
.1240 |
.0477 |
279.39 |
.0153 |
.0744 |
.1373 |
.0517 |
.0083 |
.0521 |
.0944 |
.0418 |
379.95 |
.0210 |
.0620 |
.1078 |
.0196 |
.1329 |
.0090 |
.0020 |
.0117 |
178.83 |
3.39% |
9.19% |
7.59% |
.11% |
.76% |
11.81% |
9.75% |
4.36% |
279.39 |
2.87% |
10.73% |
10.18% |
4.21% |
.97% |
12.02% |
11.19% |
8.70% |
379.95 |
3.43% |
10.25% |
9.17% |
2.10% |
9.01% |
3.57% |
.41% |
7.26% |
5. . Discussion:
The experiment consists of 2 parts, with second part of experiment an inclined angle. The measured data allows us to find the acceleration of the glider with various masses using newton’s second law, F=ma. We can then proceed to calculate other missing values, velocity and time, from the experiment using equations of motion. There are errors produced as referred to table I and table II. If calculation were done correctly, then % difference could very well tell us something had gone wrong during the experiment. Factors such negligence of flag and cord’s mass, inaccurate measurements could result in error.
6. Conclusion
The newton’s second law of motion establishes the relationship between mass and acceleration, as their product gives the net force acting on an object. Acceleration is therefore inversely proportion to the mass of the object. In this experiment, newton’s law is well demonstrated as increase in mass leads to decrease in acceleration, or vise versa.
Our motto is deliver assignment on Time. Our Expert writers deliver quality assignments to the students.
Get reliable and unique assignments by using our 100% plagiarism-free services.
The experienced team of AssignmentHippo has got your back 24*7. Get connected with our Live Chat support executives to receive instant solutions for your assignment problems.
We can build quality assignments in the subjects you're passionate about. Be it Programming, Engineering, Accounting, Finance and Literature or Law and Marketing we have an expert writer for all.
Get premium service at a pocket-friendly rate. At AssignmentHippo, we understand the tight budget of students and thus offer our services at highly affordable prices.