Monday, May 27, 2013

Mass of a Force

Mass of the force In this article I am trying to demonstrate the mass of the force which a body can absorb from an external source. All we knows that to move an object at inertia, it needs an external force. So here we can take two objects. One is the body at inertia and the another as the source of energy. The body at inertia energy, mass, momentum all are conserved. Here the external energy which it absorb is giving it relativistic momentum, energy. Due to the external force which it gains the object will get velocity, kinetic energy and increase of momentum. We all knows the equations to find the relativistic momentum and energy. Now here we will try to do some example to know about the work done by the external force, momentum of the object due to the external force and kinetic energy due to the external force. Once an external force acting on an object the work done by the force is playing an important role one the energy transformation to one to another. We have to unify all the equations of motion now. So I will show some examples. Eg.1 An object of mass 8 Kg travels at a distance 6 m in time 2 sec. So velocity = displacement / time = 6/2 = 3 m/s Momentum= mass * velocity = 8*3 = 24Ns Force = momentum/ time =24/2 = 12N Kinetic Energy = ½ mv2 =( 8*9)/2 = 36 Work = (momentum / time) distance = 12* 6 = 72 J So Momentum P = mv Force F = P/t Kinetic Energy KE = (Pv)/2 or we can say work / 2 Work W = Pv Now here we have all the equations through momentum and velocity. I can say that once an external energy or a force acting on an object it will gain momentum and velocity from that energy. Kinetic energy is the Energy which the object absorbs and the work done by the kinetic energy gives the objects momentum and velocity. We knows relativistic Energy of a moving body is Er = mc2 + KE Here Kinetic Energy is giving the extra energy to the object. Once an Energy leaving from an object it carry some mass with it. Now here we can say KE = mc2 So the extra Energy which gain the object = +mc2 Here we can write, mc2 = (Pv) / 2 So mass of the Kinetic Energy or the applied Force which do the Work is, m = (Pv) 2c2 In this equation we have all the properties of motion is directly or indirectly involved. So we can say an Energy emitting from the source will carry the mass as the product of momentum divided by double of c square. Here we can say the force from the source is travelling with the body. So time and distance are also travelling with the object or mass. aloysius sebastian aloysi.aloys@gmail.com