A. a meteorite of mass 1500kg moves with a speed of 0.700c . find the magnitude of its momentum p. express your answer in kilograms times meters per second to three significant figures. b. what is the total energy e of the meteorite? c. what would the energy of the meteorite be if it were at rest? d. what is the relativistic kinetic energy k of the meteorite when it travels at 0.700c ?

The expression for the relativistic energy is given by:

  (1)

being

This famous equation includes the relativistic Kinetic energy and the energy at rest :

  (2)

Where:

  (3)

Being the mass at rest for the meteorite

  (4)

In addition, there is a relation between the relativistic energy and the momentum :

  (5)

Where:

  (6)

Knowing this, let's begin with the answers:

In order to solve this part, equation (6) will be helpful, since we already know the mass of the meteorite and its speed :

  (7) >>>>This is the meteorite's momentum

Remembering equation (5), which relates the total energy with the momentum:

We can substitute the value of the momentum found on (7):

Then:

Knowing :

(8)>>>This is the total energy of the meteorite

Using equation (3):

 (9) >>>Meteorite's energy at rest

According to equation (4) the  relativistic kinetic energy depends on the total energy and the energy at rest:

We already know the values of and from (8) and (9). Hence we only have to substitute them on the equation:

>>>Meteorite's Relativistic energy

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