For how long do the engines need to remain on

Reference no: EM13331991

1. A spaceship needs to change its course by angle ?. The ship's engines can exert a force F in any direction.

a. In which direction should the engines be pointed so that the change happens in minimum possible time? The speed of the ship after the maneuver needs to be the same as before the maneuver.

b. For how long do the engines need to remain on?

2. Two sisters are standing in skates on an ice rink. The elder sister pushes the younger one. As a result, both sisters start moving but the younger one has a noticeably greater speed. The younger one is upset and says «Now let me push you». Contrary to her expectations, she still bounces back with a greater speed.

a) Explain what happens.

b) If the sisters have masses M and m, what is the ratio of their velocities?

Reference no: EM13331991

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