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Essay / Experiment to calculate the acceleration of the mass and...
Experiment 4: Free fallObjective: Calculate the acceleration of a mass when it falls towards the surface of the Earth and calculate the average speed during the measurement of the total distance traveled by the mass over a certain time. period of time. We needed to determine the acceleration due to gravity and compare it to the standard value of 980 cm/s2. Then plot velocity versus time, find the slope which in turn will provide the experimental value of g. (Air resistance was not taken into account for the free falling mass).Theory: According to Newton's second law, acceleration occurs when a force acts on a mass. The greater the mass, the greater the force required. This law gives us an exact relationship between force, mass and acceleration. Which can be expressed as: F=MA or FORCE = MASS times ACCELERATION For objects in free fall, the net external force is simply the weight of the object:F=WSubstituting into the 2nd law equation gives:a = W / m = (m* g)/m=gThe average, or standard, value of g is 9.8 m/s2 or 980 cm/s2. Galileo first proposed that all free-falling objects fell with the same acceleration almost 400 years ago. He used a ball on an inclined plane to determine the relationship between time and distance traveled. When measuring the total distance traveled by an object over a certain period of time, you can calculate the average speed: = where ∆d is the total distance (final distance minus initial, or ) and ∆t is the total time ( final time minus initial, or - ) For the case of a falling object, = = since di =0 and t1=0 ∴ =If an object moves with constant acceleration you can fi...... middle of paper ......Then we used the calculated slope and the accepted value of 980 cm/s2 to calculate the experimental error: Experimental value – accepted value = 100% Accepted value 1000 – 980 = 20 = 0.02 of reduction of 2% 980 980 Conclusion: The laboratory objective was achieved, because for each test, the acceleration remained constant during each test. No external force such as a vacuum was used during this free fall to affect the weight of the object and air resistance was also not considered in this free falling object. The gravitational acceleration is equal to the acceleration of the object. Regardless of their weight or size, all objects fall freely with the same acceleration until they hit the ground, unless they are acted upon by another force. The values were compared to the theoretical values and the percentage error of 2% shows that the experiment was successful..