MCAT Question of the Day


  • Q:

    For satellites, orbit paths are extremely sensitive. In order for a satellite to reach a unique destination, all forces of gravity must be examined so that coordinates are not shifted in any way. To prevent this, a particular satellite of mass S is able to decrease its mass by detaching unnecessary mass (which was once necessary for exiting the atmosphere). An asteroid of mass A comes very close to the satellite, exerting a gravitational force of X on the satellite. Say that Fmax is the maximal gravitational force that the satellite can bear without going off course. If we assume that X>Fmax, then how much mass should the satellite remove in order to experience the maximal gravitational force and not being thrown off track? (Assume that the distance between the asteroid and the satellite is r and remains constant)

     

    A

    X - r2(X - Fmax)/GA

    B

    r2(Fmax - X)/GA

    C

    (X - Fmax)/GA

    D

    r2(X - Fmax)/GA



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