We did this about five times and measured the vertical and horizontal directions every time, recording the data after. Remember that there may be significant uncertainty in both quantities. To do this we had to do multiple trials for each setting and angle to first connect both photogates to the end of the launcher and the smart timer to find initial velocity. Ideally, if the motion is purely vertical, the ball should be caught by the launcher. However, it is still possible, it just involves a little bit more work.
A common misconception occurs at the top of a projectile's arc. Part I: Vertical Launch Let us begin our measurements with a one-dimensional, purely vertical motion. We repeated this part of the experiment several times and recorded the degree each time. The time it takes to hit the ground and the horizontal distance or range will be analyzed for clues about the relationship between vertical and horizontal motion while in a projectile path. This process was repeated five times in order to obtain average values to work with in order to eliminate error.
We adjust the pointer so that it indicates 30 degree. To find the initial velocity for the horizontal direction, one would simply have to measure the final velocity after launch. Here the original y-ve locity is zero. However, if you look even further into this question, one could certainly entertain the idea of air resistance to further explain the situation. Initial velocity: The photogates are approximately 10 centimeters apart measure directly to confirm this.
We determine the vertical distance from the ground to the gun. By massing the ball and the pendulum, recording the initial and final heights, the values for V and finally v could be calculated. In the inserted column subtract each position measurement from the flat position measurement. Then, you need to draw in the lines with the maximum and minimum slope that still fall within the error bars of your data points. Theory The theory is that there in no acceleration at all in the X direction for a projectile. The tangential axis is perpendicular to the radial axis and points in the direction of increasing q.
Now if you lift the carbon paper, there should be a mark on the paper underneath where the ball landed. The only velocity it has is just its horizontal velocity, vx. This differs from the actual diameter of the ball, since the photogate beam may be positioned slightly above or below the center of the ball. Apparatus First we found the initial velocity of the projectile, by measuring the distance between two photogates and using the Smart Timer to mark the time. After prepping the launcher, two meter sticks were obtained and laid flat on the ground, end to end. During data collection, you should tape the carbon paper with a piece of white paper underneath it to the floor, so that the ball will hit the paper and leave a mark of its landing point from wherever it is released on the ramp. The time recorded is the time-of-flight.
A quick example will show that,. Purpose Determine how the horizontal velocity of a marble rolling down a ramp affects the motion of the marble in projectile motion. The point of the lab was to find the initial velocity of the projectile launched, as well as the final distance it reached. It did not work because I over estimated the affect of slowing air resistance on the marble. Measure the horizontal distance from the point on the floor beneath the release point to each of the five landing points. Since there is the small but real possibility of causing injury to yourself or another person, please follow all safety guidelines and common sense safety rules.
There are different settings, i. So, basically, it can be said that the mass of the projected object does not contribute to the velocity of the ball. We shot the ball ten times and we measure the distance between the spring gun and the paper. We did not account for air resistance acting on the ball. Projectile is defined as, any body thrown with some initial velocity, which is then allowed to move under the action of gravity alone, without being propelled by any engine or fuel. Then, set up the photo gates 8 to 10cm apart but still allowing the ball to roll through them when it goes off the ramp then falls off the table.
Mark a point on the ramp to roll the ball from each time. Lastly, we fired the ball at an angle of 55 five times and found the average range and compared our experimental value with the theoretical value to come up with a 10% error. We repeat the same procedure. It is easy to record the location where the projectile lands on the floor by placing a piece of carbon paper over a piece of scrap paper taped to the floor. Draw and clearly label the horizontal and vertical axes, and choose a suitable scale for each, given the range of your data values. We launched a small metal ball across the room, taking the measurements of distance and angle, and using the data to calculate the initial velocity and the x and y components of velocity. To account for the human factor, do the equation again using the minimum and maximum velocities.
While determining the angle of maximum range, we used the launcher to shoot the ball at different angles, starting at 30 degrees and increasing by 5 degree increments up to 50 degrees, and then determined the point at which the ball landed for each angle of projection. Calculate the percent difference between them. A Smart Timer can be used to measure the time the ball takes to travel between these two gates. There were no outliers in any of the sets of data. By dividing this distance by the time during which the ball passes through the photogate, you will be able to compute the initial horizontal velocity of the ball for each trial. Warning: Do not shift the position of the paper on the floor until you are finished with all trials at a given release-height of the ball along the ramp! © 2009—2019 Adam Cap riola. You should have a total of 15 trials, with 3 trials at each of the 5 positions on the ramp.
. Enter the results in the data table. Open the file 08 projectile motion on Logger Pro. The x and y components of velocity are ratios of the initial velocity. In this experiment we used the projectile launcher, a steel ball, two photogates, the floor pad, smart timer, and two meter sticks to determine the initial velocity of the steel ball and the distance traveled from the launcher after being fired from the launcher at three different angles of 35, 45, and 50 degrees and at three ranges of short, medium and long for each angle.