Force and Acceleration

LAB REPORT

Experiment purpose: Understand the relationship between the net force applied to the object and the acceleration of the object.

Experiment goal: Measure and get the data of net force applied and acceleration of a moving object.

Abstract: Using the force to make the object move, we will have the velocity through the Motion Sensor. From the data of the force applied (the weight) and the acceleration from the velocity graph, we will analyze the influence from the force to the acceleration.

-Equipment: Motion Sensor

                      Force Sensor

                      2 Feet and End stop

                      Pulley and Hanger

                      Masses

                     Track

-Installation: Ready the track with 2 foot and the End stop. Install Motion sensor in the start and pulley, hanger in the end of the track. Put the cart with Force Sensor installed on the track. Plug the Motion sensor and Force sensor’s cord in the Digital receiver.

-Execution: Adjust the mass accordingly to the question. Hit the “Record” button in the program. Release the cart and let the mass pull the cart to the end stop. We will have the position and velocity graph.

-Formula:

-Data Table:

Graphs:

-Force on an Acceleration Cart:

-Acceleration:

-Force vs Acceleration:

Errors: We had some trouble in the installation so that the mass hit the ground and affect the date. However, we soon realized and fixed that.

Questions/Answers:

  1. What is the physical meaning of the slope? Does it have units?

-The slope (m=0.781±0.0072) is the acceleration of the object (m/s2)

  1. This graph shows your table values of applied force and the resulting acceleration. What physical property does the slope of a Force vs. Acceleration graph represent? Hint: what are the units of the slope?

-The slope represents the mass.

  1. Select a Linear curve fit and determine the slope. How well does your slopes match what you should expect? Use the Balance to measure the actual mass of the cart+Force Sensor and compare.

-The slope matched my expectation well (0.784 vs 0.781).

O 11. The graph shows that the applied force is directly proportional to the resulting acceleration. Write the equation in the form F = (?) a

F=m.a

  1. What is the name of this equation?

Newton’s second Law

Final result: Our group measured the velocity and analyzed acceleration. Then we compared to the force applied. Eventually, we got the force vs acceleration graph.

Conclusion: We learned the relationship between force and acceleration of a moving object. How the mass affect the motion.

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