Acceleration+Relationships


 * Lab Title:** Acceleration Relationships


 * Primary Authors: Younga and Lindsay**


 * Contributing Authors: Troy!**

To determine all these relationships, the method our group used was to add to the mass or hanging mass of the object and see it affected force or acceleration.
 * Abstract:** The goal of this lab is to determine the relationship between the acceleration of an object, the mass of the object, and the force on the object.


 * Introduction (Background information):** In this lab, our object will be a cart on a track. We will be using different ranging of hanging masses to create a force on our cart and the force probe can measure the applied force on the cart. Additionally, we will be adding either or both hanging masses and mass of the cart to see it affects the acceleration and the force whether it increases or decreases or stays the same. The Sonic Ranger and the Logger Pro we will be graphing two graphs. One graph will be the force vs. time and the other will be velocity vs. time.


 * Methods:** First our group decided to do a trial that we can mainly put. Then do five trials adding either or both hanging masses and mass of the cart and compare with the first trial whether it made an affect. For the first trial, we did not add any mass but performed it just with a cart alone and a hanging mass of 100 grams. After the first trial, we have done two trials; one with same mass but a higher hanging mass and the other with same hanging mass but a higher mass of the cart. Finally, we did three more trials adding both of the mass and the hanging mass of the cart to confirm the theory we have got as we done few experiments.

The picture shows the exact set up for this lab and all the materials that were used are a cart, track, pulley, blocks, hanging masses, force probe, and string.


 * Data:**
 * **Trial ** ||  **Mass of the cart (g) **  ||  **Hanging masses (g) **  ||  **Acceleration (m/s/s) **  ||  **Force (N) **  ||
 * 1 || 691  || 100  || 1.122  || .85  ||
 * 2 || 1191  || 100  || .55  || .85  ||
 * 3 || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">691  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">500  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">3.61  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">2.84  ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">4 || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">1191  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">500  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">2.66  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">3.5  ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">5 || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">1191  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">200  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">1.23  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">1.7  ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">6 || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">691  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">200  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">2.2  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">1.5  ||

.691 kg = .8 (slope of force/accel graph) 1.191 kg = 1.21 In this lab, we determined that as the mass of the cart increased, it affected the acceleration (but not the force), provided that the hanging mass remained the same. However, if we changed the hanging mass, the total force changed accordingly. We concluded that a higher mass yielded a slower acceleration, and a larger hanging mass yielded a greater force. Therefore, acceleration was directly related to force, and inversely related to mass, which could be combined into an equation of a= F/ m. This can also be stated as mass directly related to force and inversely related to acceleration, or m= F/ a.
 * Results:**
 * Conclusion:**