It means it will be the same on the surface of the sphere with that distance being the radius. Why is a Gravitational Force Always Towards the Center?Ī Force that purely depends only on the distance from the source has spherical symmetry. The other measurement systems like to say that Force is the basic measurement, and that mass is derived from the Force. Then, the dimension of Force is Mass, Time, Distance per Time. Therefore, Mass, Time Distance, are easy to measure for us, so these are the basic dimensions we like to use. Velocity can be shown as the distance per time. The dimension of Acceleration can be shown as velocity per time. Īs we all know that, the formula of Force can be given as, F=maįorce equals the mass times Acceleration. This is also called the dimensional equation of Force or the Force dimension formula.Therefore, the Force is represented dimensionally as M 1 L 1 T -2. On substituting the equation (2) in equation (1), we get, Thus, the dimensional formula of Acceleration is = - (2) ĭerivation of The Dimensional Formula of ForceĪs we know that, Force = Mass × Acceleration - (1)īecause, Acceleration = velocity × time –1 = × T -1 Hence, we get the dimensional formula for Force as. It can be expressed as follows.F net =a net m, whereĪ is the net Acceleration of the body by which it is moving Hence the net Force is net Acceleration times of total mass. Here, Newton said that “The Net Force acting upon a body is equal to its momentum rate changed over time.” Now, we use the modified version of this statement as “ The Acceleration of an object as produced by a net Force is always directly proportional to the magnitude of the net Force, present in the same direction as the net Force is inversely proportional to the object’s mass.” As we know, this statement is derived by the name Newton’s Second Law of Motion.Īs described in the second law, Acceleration is the net Force divided by the total mass. Today, we use only the concept of Force, introduced by Newton. Hence, we can describe the Force as an agent that brings about change in the state of motion or sometimes deformation of the shape of the body.īefore Newton, many concepts were arising regarding Force. It means the Force is capable of changing the state of motion of a body (example: from a body at a rest position to a body under Acceleration). Force is the interaction between the bodies that occur by the cause of its change of state.
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