Name:Lab Group 4
Date:10/26/2011
Partners: Kayla Stephens, Robin Poole, Megan McIlvoy
Grade:
Instructor: JPS

Name:Lab Group 4
Date:10/26/2011
Partners: Kayla Stephens, Robin Poole, Megan McIlvoy
Grade:
Instructor: JPS

Physics I Laboratory Worksheet
Lab 4: Projectile Motion
Objectives: Using a projectile gun on an incline plane, calculate the velocity of the steel ball at ten different distances, then find the average velocity. In order to find the velocity of the steel ball two different equations are needed. In order to find the velocity of the steel ball fired from the projectile gun on an inclined plane, the first equation must be manipulated and substituted into the second equation. Then use the average velocity to determine the distance of a projectile being released at a different angle. Physics Principles:

* Converting from centimeters to meters
* Trigonometric functions
* Quadratic formula:x=-b±b2-4ac2a
* Know how to get the derived formula:
Materials Needed:
* Projectile gun
* Projectile
* Incline paper
* Carbon paper
* 4 sheets of regular printing paper
* Tape Measure
* Calculator
* Pen
* Notebook paper
Pre-Lab exercise: Using the two formulas solve forv0.
Equation 1: x= v0xt(vox=v0cosθ)
x=v0cosθ(t)
t=xv0cosθ
Equation 2: y= y0+v0yt-12gt2(v0y=v0sinθ)
y= y0+v0sinθxv0cosθ-12gxv0cosθ2
y= y0+xsinθcosθ-12gx2v02cos2θ

Procedure:
1. Tape 4 sheets of carbon paper together portrait style, end to end. Tape 4 sheets of printing paper using the same portrait style. Then tape 4 sheets of regular printing paper behind the carbon paper. Make sure to adjust the bottom edge of the taped sheets so that the bottom touches the ground. 2. Next, assemble the projectile gun with the incline plane. The angle of the incline plane was placed at 35 degrees and make sure the wing is secure so that it will not slip. 3. Test fire the projectile gun and record the distance in centimeters...

...initial horizontal velocity of the soccer ball.
Problem Type 2:
A projectile is launched at an angle to the horizontal and rises upwards to a peak while moving horizontally. Upon reaching the peak, the projectile falls with a motion that is symmetrical to its path upwards to the peak. Predictable unknowns include the time of flight, the horizontal range, and the height of the projectile when it is at its peak.
Examples of this type of problem are
a. A football is kicked with an initial velocity of 25 m/s at an angle of 45-degrees with the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the football.
b. A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28-degrees above the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the long-jumper.
The second problem type will be the subject of the next part of Lesson 2. In this part of Lesson 2, we will focus on the first type of problem - sometimes referred to as horizontally launched projectile problems. Three common kinematic equations that will be used for both type of problems include the following:
Equations for the Horizontal Motion of a Projectile
The above equations work well for motion in one-dimension, but a projectile is usually moving in two dimensions -...

...ProjectileMotion Lab Report
Objectives:
This laboratory experiment presents the opportunity to study motion in two dimensions, projectilemotion, which can be described as accelerated motion in the vertical direction and uniform motion in the horizontal direction.
Procedures and Apparatus:
|Rubber Ball |White sheets of papers |
|Metal Track |Water |
|Books |Table |
|Meter-stick |Stopwatch |
• Obtain all the apparatus and material needed to proceed with experiment
• Set up a ramp using the metal track and a bunch of books at any angle so that the ball will roll off.
• Measure the distance from the edge of the table to the end of the ramp.
• Roll the ball down the ramp and off the table but make sure to catch the ball as soon as it leaves the table; do this part 10 times and record the times
• Calculate average velocity for this step
• Measure the height (vertical distance or the y-axis) of the table.
• Using this height, derive t (time) from the uniform accelerated motion in order to obtain the predicted distance x.
• The next step is to release the ball from the ramp and let it fall off the table to the floor.
• Measure the spot on the floor where the ball hits the...

...Title of experiment : To investigate of a small ball as it rolls off a surface which is inclined to the horizontal
Objective : To investigate the trajectory of a two dimensional motion.
Apparatus and Materials :
1. Ramp
2. Wooden block
3. Pendulum bob
4. Plumb line
5. Steel ball
6. Wooden board
7. Carbon paper
8. Meter rule
9. Plasticine
Setup :
1. A ramp has been set up at the edge of a bench as shown in the Figure 4-1.
2. Suspend a plum-line from the edge of the bench as shown in Figure 4-2.
3. Mount a wooden board horizontally using two clamps so that the board is situated about the bottom of the ramp.
4. Place a sheet of blank paper on top of the board.
5. Place a piece of carbon paper on the top of the blank paper. The ink-side of the carbon paper should be facing down.
6. When a ball is released at the top of the ramp, the ball will travel through a trajectory as shown in Figure 4-2.
Figure 4-1
Figure 4-2
Theory :
Let :
g =
u = speed of the ball as it leaves the ramp
k = constant
y = vertical distance(between the bottom of the ramp and the top of the board)
x = horizontal distance(between the plum-line and mark on the paper)
The equation which relates x and y is
= + k
Procedure :
1. Position the ball at the top of the ramp. Release the ball so...

...y I. Introduction
In this lab the main focus was projectilemotion. A projectile is an object flying through the air that is only under the force of gravity (neglecting air resistance). A projectile moves both horizontally and vertically, which creates a parabolic flight path. In vertical projectilemotion there is a constant velocity since there are no forces in the horizontal direction (neglecting drag due to air resistance). Consequently, there is no acceleration in horizontal projectilemotion. In vertical projectilemotion gravity is acting on the projectile, which means that the acceleration in vertical projectilemotion is equal to gravity’s acceleration (9.8m/s2). Some equations for projectilemotion are the three kinematic equations, the equation for Vx (Vx = ∆x/∆t), and the equation for time (∆t = 2∆y/g).
The purpose of this lab was to get a projectile falling off a ramp on a table to land in a cup by using equations that are related to projectilemotion. The hypothesis was that if all the calculations were correct (based on the horizontal and vertical speed of the projectile, the height of the table, the height of the cup, the time for the projectile to pass through the...

...Pre-lab:
Newtons Three Laws of Motion:
There are three laws of motion that have been stated by Sir Isaac Newton during the sixteenth century that are looked upon even today.
The first of these laws states that an object will stay in at rest or in a constant velocity unless a force acts upon it. In simplest terms this means that if u place an apple on the table it isn't just going to roll off.
The second of these laws states that when a force acts upon an object it causes it to accelerate, and the greater the mass of the object the more of the force will be needed to push it. Basically this means that it takes more force to move a heavy object than it does to move a lighter object. The Second Law of Motion can be stated as Force = (Mass)(Acceleration).
The third and final law of motion states that for every action there is an equal and opposite reaction. This simply means that pushing on an object causes that object to push back against you, the exact same amount, but in the opposite direction.
Motion:
Motion is movement. It is the act of moving and remaining at rest. When you have motion you have a velocity that is greater than zero.
Force:
A force is anything that causes an object to move and accelerate which would be still if the force was absent.
Inertia:
Inertia is remaining at a constant velocity or at rest without any external force...

...Yr. 12 Physics Assessment Task #1: Part A
Open ended investigation By Rex Whiticker
ProjectileMotion
Abstract:
The Project motion of a catapult being fired is varied by a range of factors that affect the path of the projectile. In this experiment, the angle of trajectory, mass of the projectile and change in initial velocity of the launch, were all factors considered in the end result to investigate the properties of projectilemotion. The purpose of the experiment was to conduct a first-hand investigation to design and analysis how angle, weight and power affect projectilemotion, collecting approximate values and recording results.
Introduction:
Parabolic motion has been studied for a long time dating all the way back to the time in which Galileo was conducting experiments. During the experiment two angles were fired at 320 and 100 at two different power levels and weights.
Galileo was the first person who accurately described projectilemotion. Because of the drawings of Niccolo Tartaglia, Galileo realized that a projectile followed a curved path which is called a parabola. The parabola had an exact mathematical shape that was acted upon two forces, vertical and horizontal. His experiments included rolling balls down a highly polished inclined plane (to lower the...

...ProjectileMotion
The purpose of this lab is to study the properties of projectilemotion. From the motion of a steel ball projected horizontally, the initial velocity of the ball can be determined from the measured range. For a given initial velocity, the projectile range will be measured for various initial angles, and also calculated by applying the theory for motion with constant acceleration. For further background information, refer to the sections in your textbook on projectilemotion and motion with constant acceleration.
THEORY For a given initial velocity, v0 , and initial position, s0 ,the position of a particle, s, as a function
of time, undergoing constant acceleration, a is given by sr = sr 0 + vr 0 t + 12 ar t 2 ( 1 )
This is a vector equation and can be broken up into its x, y, and z components. Since the motion is in a plane, we need only look at the x and y components. If we neglect air resistance, the acceleration in the y direction is -g, due to gravity. The acceleration in the x direction is zero. Hence, the vector equation (1) becomes two scalar equations:
If we eliminate t in Eqs.(5) we get y as a function of x. gx2
and solving for vo we get
x = x0 + v 0x t (2) y=y+v t-1gt2
0 0y In terms of the angle θ, and the initial speed vo, the initial velocity components are
v0x=v0cosθand v0y=v0sinθ...

...TITLE
To investigate the trajectory of a small ball as it rolls off a surface which is inclined to the horizontal.
OBJECTIVE
To investigate the trajectory of a two dimensional motion
APPARATUS & MATERIALS
Ramp
Wooden block
Pendulum bob
Plumb line
Steel ball
Wooden board
Carbon paper
Meter rule
Plasticine
SETUP
1. A ramp has been set up at the edge of a bench as shown in the Figure 4-1.
2. Suspend a plum-line from the edge of the bench as shown in Figure 4-2.
3. Mount a wooden board horizontally using two clamps so that the board is situated
about the bottom of the ramp.
4. Place a sheet of blank paper on top of the board.
5. Place a piece of carbon paper on the top of the blank paper. The ink-side of the
carbon paper should be facing down.
6. When a ball is released at the top of the ramp, the ball will travel through a
trajectory as shown in Figure 4-2.
THEORY
Let:
g =
u = speed of the ball as it leaves the ramp
k = constant
y = vertical distance (between the bottom of the ramp and the top of the board)
x = horizontal distance (between the plum-line and mark on the paper)
The equation which relates to x and y is
PROCEDURE
1. Position the ball at the top of the ramp. Release the ball so that it rolls down the
ramp and onto the board below.
2. Remove the carbon paper and observe that the ball makes a small mark on the blank
paper....