Abstract

How does increasing the mass of an object affect its acceleration? Is acceleration dependent of the mass of an object? How do they relate? Defining and testing Newton’s second law of motion familiarizes us with this relationship. In this experiment, we use the mass of an object as an independent variable to come to a conclusion about force and acceleration. By increasing the mass of an object at an incline, one can observe the change in acceleration and furthermore determine the net force acting on the object. With several calculations and graphs to illustrate our results, we shall strengthen implications of the relationship between force, mass, and acceleration.

Introduction

Mass is defined as. Acceleration is defined as change in velocity over a time interval. Mass of an object and acceleration, by definition, are in fact independent of each other, so how do they relate? If you consider a boulder and a penny

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We also know that momentum can be further described as p=M*(dvCM/dt). By inspection we recognize that dvCM/dt is the definition of acceleration of an objects center of mass. By these derivations, we come to understand Newton’s second law. Newton’s Second Law of Motion states that

Fnet,ext=MaCM

meaning that the net external force acting on some object will cause its mass to accelerate. The net force here is inclusive of all external forces (Moore). This law of motion is the basis for the entire experiment.

Kinematic Chain According to the kinematic chain, if you integrate acceleration, a constant, your result will be a linear function describing velocity.

A integreated= aldjf;aijd;flnsd;ifjj

If you integrate the velocity function, your result will be a quadratic function describing position.

V integalkd;fasdifjaoijfiajweoir;j

Experimental