Name:
 Xiang Wang [email protected]
 Antonis Antoniou [email protected]
 Mike Choi [email protected]
Class:
Physics123 “Mechanics”
TA:
Ahn Paul
Experiment 3
“
Newton’s Second Law”
Date of the Experiment:
February, 24
th
2003
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r
F F
t
v
x
x
F
=
0
ϑ
2
sin
2
0
g
v
R
=
2
ϖ
Φ
2
2
1
gt
y
=
2
ϖ
μρ
Φ
=
Introduction
Objective:
This experiment contained 4 parts. The objective of Part A was to make up our own experimental
procedure to find the initial speed of a ball coming out of a small cannon’s muzzle. The objective of part B
was to make up our own experimental procedure to measure the relationship between the range and the
angle of release of the small ball. From the relationship we had to derive the value of the acceleration of
gravity.
The objective of part C was to devise an experimental procedure that would prove that the Force that
keeps an object in a uniform circular motion is proportional to the radius of the rotation.
The objective of part D was to derive an experimental procedure to prove that the Force that keeps an
object in a uniform circular motion is proportional to the square of the angular speed.
Theory:
Part A:
The equations that describe the trajectory of the ball are the following:
The above equations assume that the initial position on xaxis is 0 and that the initial speed and the
position on the y axis is also 0. By correct manipulation of the second equation we can get the
value of t if we know the value of y and then using the first equation and the value of x we can find
the initial speed of the ball.
Part B:
The equation that relates the range of to the angle of fire of an object is the following:
To get the above formula you manipulate full version of the two equations in part A. Since you have
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 Spring '08
 LaurentMuehleisen
 Physics, mechanics, Angular velocity, Velocity, initial speed, ball falls

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