Conclusion: I rejected my hypothesis of a 10 cm distance. However, if the mass isn't that different, for instance, a difference of. The difference is that the polar axes are determined by the point itself. The measurements are as follows: Angle of Projection Range of motion m 30 2. 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.
Note the position on the floor or lab table whichever you are using as the final vertical level of the projectile motion directly under the center of this circle. One way in which the accuracy of this data could be improved is by maybe trying to have the trials on the floor. 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. Note: If the timer does not start, the photogate beam may be blocked by the launcher, in which case the bracket should be moved outward so that the first photogate is just beyond the front end of the launcher. It did not work because I over estimated the affect of slowing air resistance on the marble.
The initial velocity determined by firing the ball into the ballistic pendulum should theoretically be equal to the initial velocity determined by firing the ball as a projectile. The first step was to set up the launcher at an angle of 0 degrees. This would help because the tables are not sturdy, so they can be moved by the slightest touch. Enter the distance in meters between the photogates. We can determine that gravity will not affect the X velocity, but will change the Y velocity significantly in the negative direction.
We did this about five times and measured the vertical and horizontal directions every time, recording the data after. We repeat the same procedure. If not, remove the nut from the top of the bracket shown below and attach the bracket to the nut that is embedded in the launcher. For these graphs, velocity started out positive, but as distance increased, the velocity went down to first zero at the max height of the parabola, and then to a negative number anywhere after the max height. The destination point is identified as r, q , where r is the distance along the radial direction and q is the angle between the fixed axis and the radial direction, measured from the fixed axis to the radial axis in a counter-clockwise fashion. In these graphs, the slope of the lines is 0 because each x velocity stays the same during the experiment for each range and angle.
Do you think that it is the fault of the kinematics or due to some problem with your experimental procedure? First, to find the maximum range at which the ball travels, the ball had to be fired at various angles. For instance if the ball was dropped at a different point on the ramp, then the results would be different. Next, you must determine a line of best fit to your data, and calculate its slope value. You will also want to record the time-of-flight: unplug the second gate from the Smart Timer and plug in the cord from the time-of-flight pad. My predicted impact point was short by 3 cm of the average. As they contacted each other, the potential energy that they both have at the highest swing are equal, giving us the equation,.
Note roughly where it lands and place a piece of carbon paper there. To utilize two different methods of determining the initial velocity of a fired ball, namely a ballistic pendulum and treating the ball as a projectile, and then compare these two calculated values. If you fire the projectile launcher at some angle , you can analyze its horizontal and vertical motion independently of each other. Also, do not confuse the mark on the white paper from one trial with the marks from other trials! 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. The initial velocity of the ball is determined by shooting it, at the appropriate angle, through 2 photogates that are placed near the muzzle and only a few centimeters apart from each other.
This can cause the degree reader to appear higher or lower than it really was. When it lands on the time-of-flight plate, a second signal is sent to the timer that tells it to stop. We could find the spread in the corresponding velocity by calculating each individual velocities and then taking the standard deviation thereof. Each launcher should be clamped to the edge of a lab bench and aimed so that the ball will land on the floor without hitting any other lab groups. The ball hits the paper. Make sure that as you change the angle that the bottom of the launch position circle drawn on end of launcher remains at table-top height.
Materials: Vernier Computer Interface Meter Stick Masking Tape Logger Pro 2 Vernier Photogates Ramp 1 Marble Computer Procedures: Set up a ramp at an angle of about 10 degrees so that the ball will roll off, then roll about 10cm on the table and fall off. Did you account for air resistance in your prediction? Results: The velocity was pretty constant during the tests. Our data is as follows: Trial Range m 1 2. Now, as the ball leaves the muzzle of the launcher, it signals the timer to start timing when it passes through the first gate. If the photo gate malfunctioned, then the results would be different. 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. If the ball in Question 1 is traveling at a known horizontal velocity when it starts to fall, explain how you would calculate how far it will travel before it hits the ground.
You accounted for variations in the velocity measurement in your range prediction. However, it is still possible, it just involves a little bit more work. © 2009—2019 Adam Cap riola. The conclusion of the experiment proved that the momentum in collision is equal to the initial momentum. What other trends might we be able to study using a similar apparatus? The range of the tests was. Once we compiled all our data, we found the x and y components of the velocity, and made graphs showing x-velocity, y-velocity and position.