Question

1. Planet X belongs to the planetary system of a distant star.
The radius of Planet X was determined through direct observation by
the exploration ship to be Rx = 7.22X10^{3} km. An
exploration team sent to the surface measured the gravitational
acceleration to be gx = 10.6 m/s^{2.}

(a) Use the information given about Planet X to find its mass, Mx. (Explain every step)

(b) The exploration ship orbits Planet X at an altitude of 1.70X10^3 km. What is the orbital period of the exploration ship? (Explaon every step)

Answer #1

The gravitational acceleration at the surface of planet X is
12.4 m/s2, and the radius of the planet is 64,500 km. The altitude
above the surface of planet X, at which the weight of a body is
equal to that on the surface of the earth, in km, is closest
to

1.Zero, a hypothetical planet, has a mass of 4.9 x 1023 kg, a
radius of 3.3 x 106 m, and no atmosphere. A 10 kg space probe is to
be launched vertically from its surface. (a) If the probe is
launched with an initial kinetic energy of 5.0 x 107 J, what will
be its kinetic energy when it is 4.0 x 106 m from the center of
Zero? (b) If the probe is to achieve a maximum distance of...

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