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Q. An asteroid in an elliptical orbit about the Sun travels at 1.2 x 106 m/s at perihelion (the point of closest approach) at a distance of 2.0 x 10^8 km from Sun. How fast is it travelling, in m/s, at aphelion (the most distant point), which is 8 x 10^8 km from the Sun? Hint: Use conservation of momentum.

Q. A ceiling fan is turned on and reaches an angular speed of 120rev/min in 20s. It is then turned off and coasts to a stop in 40 s. In one minute of rotation, through how various revolutions did fan turn?

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