An artificial satellite is moving in a circular orbit around a planet. If the total energy of satellite isE, then itspotential energy would be
Question
An artificial satellite is moving in a circular orbit around a planet. If the total energy of satellite is E, then its potential energy would be
Solution
The total energy (E) of a satellite in a circular orbit is the sum of its kinetic energy (K) and potential energy (U).
The total energy is given by the equation E = K + U.
However, for a satellite in a circular orbit, the kinetic energy is equal to half the magnitude of the potential energy. This can be expressed as K = -U/2.
Substituting this into the total energy equation gives E = -U/2 + U.
Solving for U (potential energy), we get U = 2E.
So, the potential energy of the satellite is twice the total energy.
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