The mysterious visitor that appears in the enchanting story the little prince was said to come from a planet that "was scarcely any larger than a house! " assume that the mass per unit volume of the planet is about that of earth and that the planet does not appreciably spin. take the diameter of the planet to be 13 m. approximate
(a) the free-fall acceleration on the planet's surface
(b) the escape speed from the planet.

You can decrease the resistance of a length of wire by

Arailroad car collides with and sticks to an identical railroad car that is initially at rest. after the collision, the total kinetic energy of the two cars is a) the same as before. b) half as much as before. c) one third as much as before. d) one fourth as much as before. e) twice as much as before.

Wo small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at ? 0 = 1.16 rad/s as the two telescoping booms are extended from r1 = 1.18 m to r2 = 4.69 m at a constant rate over a period of 124 seconds. the small 19-kg experiment modules at the ends of the booms may be treated as particles, and the mass of the rigid booms is negligible. determine the necessary thrust t for each jet as a function of time where t = 0 is the time when the telescoping action is begun. after you have the general expression for t, answer the questions. show work.