Volume : IV, Issue : II, February - 2015

Equations of motion for a high speed particle.

Ayan Banua

Abstract :

A constant force is applied on a particle for infinitive time from rest respect to the frame ‘A’. Now a person at ‘A’ measuring instantaneous velocity, acceleration of the particle and measuring time by a clock in ‘A’.Suppose at a instant velocity of the particle is ‘v’ and mass of the particle is ‘m’ and the particle take ‘t’ seconds respect to ‘A’ Then the expression of ‘v’ will be v= c/{√(1+(c/a0t)^2 )} =ca0t/([√({ (a0t)^2+(c)^2 } ) ]) The expression of instantaneous acceleration (a) will be a=( a0)/[{1+(a0t/c)^2 }^(3/2) ] The expression of displacement will be X=(c/a0)√{ (a0t)^2+(c)^2 }-(c)^2/ a0 The expression of instantaneous mass will be m= m0[{1+(a0t/c)^2 }^(1/2) ]

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

Ayan Banua Equations of motion for a high speed particle. International Journal of Scientific Research, Vol : 4, Issue : 2 February 2015

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