Yes, in broader terms for people who actually study this, this is called biomechanics. Bio refers to the human body and it moving, while the physics part comes in when a ball is thrown for example and you want to know how far it is thrown.
Have in mind: Energy is always conserved and, (...) be transferred between objects or systems, from one form to another.
Hence, the true relation is C, when a system gains kinetic energy, it loses potential energy.
Think about this,
K + P = constant
If K increases, then P need to decreases to holds the above relation.
Answer: total mechanical energy of -4.6 x 10^10 j.
Explanation: the planet express is in a circular orbit around the earth and has a total mechanical energy of -4.6 x 10^10 j.
The total mechanical energy is the sum of potential energy and the kinetic energy.
For the rocket to experience the escape from earth, the total work done will be equal to maximum kinetic energy.
According to conservative of energy, maximum kinetic energy is equal to the total mechanical energy.
The work must be provided by the planet expresss rockets in order to completley escape earth will be equal to total mechanical energy of -4.6 x 10^10 j.
It’s a because b makes more since shown as the magnet