00:01
For this problem, we'll be looking at the difference between using the classical kinetic energy equation and the relativistic form of the kinetic energy equation.
00:08
In this case, we have a spacecraft with the mass of 78 kilograms, moving with the speed of 106 kilometers per second, which is equal to 106 ,000 meters per second.
00:29
First we'll use the classical kinetic energy equation, which is 1 half, the mass, and the times the velocity squared.
00:39
In this case it's 1 half, 78 times 106 ,000 squared, which gives us a kinetic energy of 4 .38 times 10 to the 11th joules.
00:59
Now if we look at the relativistic form of the kinetic energy equation, we have that kinetic energy equals the mass of the spacecraft times the speed of light squared times this term.
01:17
Which includes the square root 1 over the square root of 1 minus the velocity over the speed of light squared minus 1...