This equation shows that the net force required for an object to move in a circle is directly proportional to the square of the speed of the object. For instance, consider the following equation relating the net force ( F net) to the speed ( v) of an object moving in uniform circular motion. The predictive ability of an equation becomes more complicated when one of the quantities included in the equation is raised to a power. Since the Newton's second law equation shows three quantities, each raised to the first power, the predictive ability of the equation is rather straightforward. Similarly, if the mass were decreased by a factor of 2, the equation would predict that the acceleration would increase by a factor of 2.Īs mentioned previously, equations allow for predictions to be made about the affect of an alteration of one quantity on a second quantity. In fact, if the mass were increased by a factor of 2, the equation would predict that the acceleration would decrease by a factor of 2. As mass increases, the acceleration decreases. In other words, the bigger the mass value is, the smaller that the acceleration value will be. According to the equation, the acceleration of an object is inversely proportional to mass of the object. Newton's second law equation also reveals the relationship between acceleration and mass. Similarly, if the net force were decreased by a factor of 2, the equation would predict that the acceleration would decrease by a factor of 2. In fact, if the net force were increased by a factor of 2, the equation would predict that the acceleration would increase by a factor of 2. As net force increases, the acceleration increases. In other words, the bigger the net force value is, the bigger that the acceleration value will be. The relationship expressed by the equation is that the acceleration of an object is directly proportional to the net force acting upon it. For instance, the equation for Newton's second law identifies how acceleration is related to the net force and the mass of an object.
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