Report Sheet NEWTON’S SECOND LAW Constant Mass data: mass (g) Force (N) accelera
ID: 1777831 • Letter: R
Question
Report Sheet
NEWTON’S SECOND LAW
Constant Mass data:
mass (g)
Force (N)
acceleration (m/s2)
50
0.49
0.808
60
0.59
0.939
70
0.69
1.176
80
0.79
1.3
90
0.88
1.547
100
0.98
1.672
Slope of the line: 0.58N/m/s^2
Constant Force data:
mass (g)
acceleration (m/s2)
250
1.631
500
0.8749
750
0.5874
1000
0.4508
Slope of the line: 0.392N
Questions and Conclusions:
1. According to Newton’s Second Law, F = ma, the equation has a y-intercept of zero. How does the graph of force versus acceleration for a system of constant mass support this relationship?
2. Compare the slope of the line to the total accelerating mass. Comment on the two values, and the expected relationship between them if the second law is true.
3. Newton’s Second Law, F = ma can be re-written as: a = F(1/m). How does the graph of acceleration versus inverse mass for a system of constant force support this relationship?
4. Compare the slope of the line to the constant applied force. Comment on the two values, and the expected relationship between them if the second law is true.
Please answers questions and conclusions in FULL DEPTH.
mass (g)
Force (N)
acceleration (m/s2)
50
0.49
0.808
60
0.59
0.939
70
0.69
1.176
80
0.79
1.3
90
0.88
1.547
100
0.98
1.672
Explanation / Answer
1)
Graph of force vs acceleration will be a straight line starting from origin and going towards first quadrant. Slope will represent mass of the object and since it cannot be less than 0, the line will be in first quadrant. Also when F = 0 acceleration = 0 so it won't have any y intercept .
2)
Slope of the line represents mass of the object since m = F/a
3)
Acceleration and 1/m is directly proportional to each other with force being constant so the graph will be a straight line starting from origin and extending only in first or third quadrant with the slope being a positive or negative value depending on the direction of force since mass is never negative.
4)
Slope of the line will represent force applied on the object and it will be positive or negative according to sign convention taken by us