Assume that Earth is in circular orbit around the Sun with kinetic energy K and potential energy U, taken to be zero for infinite separation.Then, the relationship between K and U:
A)is K = U
B)is K = -U
C)is K = U/2
D)is K = -U/2
E)depends on the radius of the orbit

Question

Quizplus · Accepted Answer

In a circular orbit, the kinetic energy (K) is equal to half the magnitude of the potential energy (U), but with a positive sign, making the relationship K = -U/2. This is a result of the conservation of energy and the specifics of gravitational force, where the total energy (which is the sum of kinetic and potential energy) is negative, indicating a bound system.

Assume That Earth Is in Circular Orbit Around the Sun