The kinetic energy as measured in the Earth reference frame is 6.704*10^22 Joules.
To find the answer, we have to know about the Lorentz transformation.
<h3>What is its kinetic energy as measured in the Earth reference frame?</h3>It is given that, an alien spaceship traveling at 0.600 c toward the Earth, in the same direction the landing craft travels with a speed of 0.800 c relative to the mother ship. We have to find the kinetic energy as measured in the Earth reference frame, if the landing craft has a mass of 4.00 × 10⁵ kg.
- Let us consider the earth as S frame and space craft as S' frame, then the expression for KE will be,
- So, to
find the KE, we have to find the value of speed of the approaching landing craft with respect to the earth frame.
- We have an expression from Lorents transformation for relativistic law of addition of velocities as,
- Substituting values, we get,
- Thus, the KE will be,
Thus, we can conclude that, the kinetic energy as measured in the Earth reference frame is 6.704*10^22 Joules.
Learn more about frame of reference here:
SPJ4