Sunday

March 1, 2015

March 1, 2015

Posted by **Beth** on Friday, July 20, 2012 at 4:54pm.

- Physics -
**Elena**, Saturday, July 21, 2012 at 2:38amRelativistic kinetic energy is mₒc²{[1/√(1-β²)] – 1},

nonrelativistic kinetic energy is m v²/2 = 0.5mₒv²

(a) β=v/c=2.12•10^-3•c/c=2.12•10^-3

1/√(1-β²) =1.00000224

1/√(1-β²)] – 1 = 0.00000224=2.24 •10^-6

Relativistic kinetic energy is 2.24 •10^-6•mₒc²

The ratio is 2.24 •10^-6•mₒc²/[0.5•mₒ•(2.12•10^-3)² • c² ]=

=2.24 •10^-6/2.2472•10^-6 = 0.996796.

(b) β=v/c=0.959•c/c= 0.959

1/√(1-β²) = 3.5285,

1/√(1-β²)] – 1 =2.5285

Relativistic kinetic energy is 2.5285 •mₒc²

The ratio is 2.5285 •mₒc² /[0.5•mₒ•( 0.959)² • c² ]=5.499

**Answer this Question**

**Related Questions**

Physics - The kinetic energy of a massive particle is equal to the energy of a ...

physics kinetic energy - a) if a particle's speed decreases by a factor of four...

physics - (Requires calculus) Prove the relativistic work-energy theorem in one ...

physics - A particle has a kinetic energy equal to its rest energy. (a) What is ...

Physics - A 245 g particle is released from rest at point A inside a smooth ...

Physics - A single conservative force F(x) acts on a 1.6 kg particle that moves ...

Physics kinetic energy - Okay the equation for kinetic energy is = 1/2mv^2 so ...

physics - A 278 g particle is released from rest at point A inside an smooth ...

Physics - A 5.36 kg object falls freely (ignore air resistance), after being ...

Physics 2 - A particle moves along a line where the potential energy of its ...