## ANALYSIS at rest, and an object in motion

ANALYSIS
Before the experiment was conducted, the group had to arrange their setup. Conducting the experiment was simple and the group was able to finish one trial quickly however, the group had to perform multiple trials in order to obtain more accurate results and lower the percentage error. What was challenging was the computation of date mainly because of time constraint. There were two experiments to be done given only a small amount of time. The experiment would have been more successful, and the group would have gathered better results if they were given enough time.

The objective of the experiment was to determine the relationship between the net force being applied to an object to its acceleration, and the mass of an object to its acceleration. Performing the experiment, it was shown that the relationship between the net force being applied to the object and its acceleration is directly proportional which means that the higher the net force is being applied to an object, the higher its acceleration is. It was also shown that the relationship between the mass of an object and its acceleration is inversely related – the heavier an object is, the less its acceleration is. These observations proves Newton’s second law, the law of acceleration which states that an object at rest will remain to be at rest, and an object in motion will remain in motion at constant speed unless acted upon by an external force, which is in the case of the experiment was the a) added force and b) the added weight to the object.
The data gathered by the group are as follows:
Table 1. Part A – The Relationship Between the Net Force, Time of Travel, and Acceleration
Trial Net Force Time of Travel Acceleration
1 0.196 N 1.6426 s 0.3789 m/s2
2 0.588 N 0.9786 s 1.0442 m/s2
3 0.98 N 0.7936 s 1.5878 m/s2
Table 1 shows the relationship between the net force and its acceleration. It is evident that the stronger the applied force is, the higher its acceleration is. When only 0.196 N of force was applied to the object, the object moved slower at an acceleration of only 0.3789 m/s2, whereas, when the force was stronger at 0.98 N, the faster it traveled at the acceleration of 1.5878 m/s2.
Table 2. Part B – The Relationship Between the Mass, Time of Travel, and Acceleration
Trial Mass Time of Travel Acceleration
1 0.5184 kg 0.7762 s 1.6598 m/s2
2 0.6184 kg 0.8295 s 1.4533 m/s2
3 0.8184 kg 0.9302 s 1.1557 m/s2
Table 2 shows the relationship between the object’s mass and its acceleration. It is clearly shown on the data gathered that the heavier the object is, the less its acceleration is. When the object was lighter at only 0.5184 kg, the faster it took for it to travel, and the acceleration was 1.6598 m/s2 acceleration. However, when the object was heavier at 0.8184 kg, the slower it took for it to travel, and it was shown that the less its acceleration was, at only 1.1557 m/s2.

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Figure 1 shows the directly proportional relationship between the net force and acceleration, the reason why it has a positive slope. The data from the graph shows that as the net force increases, the acceleration of the object increases as well.

Figure 2 shows that the relationship between the object’s mass and its acceleration is inversely proportional, the slope of the graph being negative. This means that as the mass of the object increases, its acceleration will do inversely as it will decrease.

SAMPLE COMPUTATION
The formulas used to solve for the acceleration were given as:
a = Fnetm and a=2st2where,a = acceleration Fnet = net forcem = masss = distancet = time
For Trial 1 (Part A):
Using a = FnetmFnet = 0.196 Nm = 0.5354 kg
a= Fnetm= 0.196 N0.5354 kg=0.3640 m/s2
Using a=2st2s = 0.5 mt = 1.6246 s
a= 2st2= 2(0.5 m)(1.6246 s)2= 1 m2.6393 s2=0.3789 m/s2
Solving for Percentage Error:

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