Question: URGENT - can you please help me this question? A collaboration of space agencies want to stop Mars from rotating around the Sun. They send
URGENT - can you please help me this question?

A collaboration of space agencies want to stop Mars from rotating around the Sun. They send a shuttle to the Mars so that it attaches to the surface of the Mars and using its engines, exerts a force on Mars against the direction of its rotation that creates a torque vector in the direction of negative z axis (clockwise torque). In the picture shown below (top figure), Mars rotates counterclockwise around the sun in a circular orbit so its angular momentum vector is along the positive z axis. The diagram of the only component of the torque of the Shuttle exerted on Mars is seen below (bottom figure). Each horizontal unit on this graph represent 1 day and each vertical unit represents 10 N . m of torque. During the process explained above, the angular speed of the Mars and the distance of Mars from the Sun changes. (a) Find the total impulse on Mars due to the Shuttle from t = 0 to t = 15 days in SI units and in scientific notation. (5 points) (b) Using angular momentum-impulse theorem, and assuming that the final angular speed of Mars after t = 15 days becomes - of its initial angular speed, find the new distance of Mars from the Sun after t = 15 days. Your final answer should be in SI units and in scientific notation. The initial distance from Mars to Sun is R = 225 Million km and the mass of the Mars is m = 6.39 x 1023 kg. (5 points) Direction of rotation of Mars Shuttle force tangent to the circle of the orbit Mar's R T(N . m) t (d)
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