Question

1a. OK, this is the last time for one of these crazy adventures. THIS time, though,...

1a. OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in the floor, and you can see that you re in a rocket which has just taken off from the surface of an alien planet. By taking careful measurements out that window you determine that the rocket is accelerating upward at 7.12 m/s^2. When you drop a ball from a height of 2.40 m, it hits the floor 0.279 s later. What is the value of g for the alien world below you?

b. OK, one more time. This time the magnet has mass 5.38 kg and the force pulling it to the right is 178.2 N. When the magnet hits the floor, it continues being pulled to the right by the same magnetic force as before. The coefficient of kinetic friction between the magnet and the floor is 0.562. What will the magnet s acceleration be as it slides to the right along the floor? (Assume static friction is overcome and the magnet will slide.)

c. OK, same sort of track, but now with d = 4.72 m. Now suppose the blocks starts on the track at x = 3.11 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?

d. Last time now, with d = 2.04 m. You start the block on the track at rest, somewhere to the left of x = 0. You then release the block from rest and let it slide down. What is the maximum value of x (that is, what is the closest to the origin) from which you can release the block from rest and have it leave the track at x = 0 and go into freefall?

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