Acceleration & Force

# Acceleration & Force - Acceleration Force Sloane M...

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September 16, 2008 Sloane M. Schneider Lab Partners: Taylor Whipple, Cory Wilkinson, Amy Kalal Purpose: In the four labs performed, there were multiple goals. In the first experiment the main goal was

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to examine a dynamics cart as different amounts of net force were applied to it; the changes in motion of each trial was then examined. The second experiment dealt with the net force directly applied to the cart instead of just the changes in motion. The results from this experiment were then compared to the expected value. The goal of the third experiment was to examine the relationship between a specific force exerted on the cart, its mass, and its acceleration. In experiment four an inclined plane was used to examine the acceleration of a cart as it moved up and down. Sub-Experiments: Experiment 1: Cart and Mass System Experiment 2: Cart and Mass with Sensor Experiment 3: Motion Sensor and Force Sensor Experiment 4: Inclined Dynamics Track and Cart Theory: The equation described by Isaac Newton to determine the relationship of the net force applied to an object and the acceleration that it experiences is: F = ma or = a Fnetm Newton’s 1 st Law Newton’s 2 nd Law The first law states that the net force exerted on a system is equal to the product of the mass of the system times the net acceleration of the system where F is the net force, a is the net acceleration, and m is the total mass of the system. While the second law provides a way to find the net force on an object. When applying these equations in experiment 1 the acceleration of the cart-hanging mass is: F net = M cart X Acceleration ( M +m)a = F = mg or = + a mgm M where a is acceleration, m is hanging mass, M is mass of the cart, and g is 9.8 ms2 For these experiments friction is ignored but tension cannot be because there is tension in the string connecting the two objects. The T in this experiment is tension, which is the net force on the cart. The equation used to describe tension is: = = + T Ma Mmgm M In experiment 4 the angle of an incline is used to solve for acceleration. This equation that connects acceleration, gravity, and the angle of the incline is: a = (g)sin θ Mg A free body diagram for experiment 2 is T N
In this diagram the mass and the weight of the cart and the pull of gravity pushing down combine to form the negative force, is Mg. T he push of the table upwards is the positive, normal force, N. These forces cancel each other out for a net force of zero. The pull to the right is force from the tension of the string, T.

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## This note was uploaded on 11/25/2008 for the course PHYS 2210 taught by Professor Sowell during the Spring '08 term at UNO.

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Acceleration & Force - Acceleration Force Sloane M...

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