Physics 201 Fundamentals of Physics I Lab
FALL 2018
Name:
W # :
Section: Time: Date:
Lab partner:
Lab # 2
I
The Equation of Motion of a Uniformly
Accelerated Object in 1D
Purpose:
Introduction
The motion of an object moving in 1D subjected to a uniform acceleration (from a uniform force) is described by the following Equation of Motion
Position: x(t) = x0 + v0 t + ½ a t2
Velocity: v(t) = v0 + a t
Procedure:
Data
Mcart = 0.515 kg , mhanging = 0.05 kg ; a = mg / ( m+M )
x(t)
(m) 
t(s)
t1 t2 t3 tavg 
v(m/s)
v1 v2 v3 vavg 

Analysis and discussion:
What is the theoretical value of the acceleration of the cart?
What is the experimental value of the acceleration extracted from the x(t) graph and v(t) graph? Compute the percentage error in each case
Conclusion
II
Free Fall Accelerated Motion
(Displacement and speed behavior as a function of time)
Purpose:
Introduction
Procedure:
Data
Time and vertical position readings from graph
Δt = 0.025 s (timer at 40 Hz)
Point #  t (s)  y (m)  Δy (m)  v = Δy/Δt (m/s) 
1  0.025  0  0  0 
2  0.050  2.7  2.7  54 
3  0.075  5.8  3.1  41 
4  0.100  9.6  3.8  38 
5  0.125  13.9  4.3  34.4 
6  0.150  18.7  4.8  32 
7  0.175  24.2  5.5  31.4 
8  0.200  30.2  6  30 
9  0.225  36.8  6.6  29.3 
10  0.250  43.8  7  28 
Analysis and discussion:
Studying the position during free fall motion y = y0 + v0.t + ½ g.t2
· Plot y vs. t (y on the vertical axis and t on the xaxis) using Excel.
· Use the fitting tool on Excel to fit your scattered data points into a second order polynomial.
· Use the result of the fitting equation to find the experimental acceleration of gravity.
· Compare the calculated value of g to the accepted value and calculate the percentage error.
Studying the speed during free fall motion v = v0 + g.t
· Plot v vs. t (v on the vertical axis and t on the xaxis) using Excel.
· Use the fitting tool on Excel to fit your scattered data points into a linear fit (first order polynomial).
· Use the result of the fitting equation to find the experimental acceleration of gravity.
· Compare the calculated value of g to the accepted value and calculate the percentage error.
Conclusion
III
Free Fall Accelerated Motion
(Velocity behavior as a function of distance)
Purpose:
We will verify the velocity behavior as a function of distance for uniformly accelerated object
Introduction
If an object is free falling a distance y from rest (v0 = 0), then, the velocity as a function of falling distance y is given by
v2 = 2.g. y
Procedure:
Data
d = 1.5 cm ; v = 1.5 cm/ t(s)
y (cm)  t1 (s)  t2 (s)  t3 (s)  tavg (s) 
y
(cm1/2) 
v (cm/s) 
10.0  0.01  0.01  0.01  0.01  3.16  1000 
20.0  0.0074  0.0076  0.0073  0.0074  4.47  2702 
30.0  0.0062  0.062  0.0064  0.0063  5.47  4761 
40.0  0.0055  0.0059  0.0056  0.0056  6.32  7142 
50.0  0.0051  0.0052  0.0052  0.0051  7.07  9803 
Analysis and discussion:
Plot
vy
, where
is on the yaxis and
on the xaxis. Fit your data points to a straight line. Compare the equation of the straight line you obtained from Excel:y = a.x + b
to Equation:
vy
Extract an experimental value for g to judge the accuracy of your experiment.
Conclusion
IV
The acceleration of an Object on a frictionless incline
Purpose:
Introduction
When an object is pushed up a smooth inclined surface (or allowed to run down the smooth incline), it’s deceleration up the incline (acceleration down the incline) has a magnitude that is given by:
a = g . sinθ Eq. 1
Procedure:
Data
Object moving down the incline
θO

a (m/s2)
a1 a2 a3 aavg 

0  54.8  56.8  53  54.9 
10  204  201.9  217.5  207.7 
8  155.1  150.9  152.3  152.8 
5  149.5  141.4  145.3  145.4 
3  75.7  66.2  77.2  73 
Analysis and discussion:
· Plot a vs. sin θ
· Fit your data points to a straight line.
· From the fitting equation you obtained using Excel, find the acceleration of gravity
Conclusion
Engineering/Physics Department