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In: Physics

A ball enters a frictionless track spiraling upward with a speed vo. The radius of the...

A ball enters a frictionless track spiraling upward with a speed vo. The radius of the track is half a meter and it has a pitch (ѳ) of 15°.

(a) If the initial speed of the ball is 12 m/s, how high vertically will it rise?

(b) Compare your answer to part (a) with the height the ball would rise if it had been thrown vertically upward, into freefall, with the same initial speed. Explain your results.

(c) If you wish the ball to make exactly 5 revolutions before momentarily coming to rest, how fast must it initially be moving when entering the spiral track?

(d) What assumptions or simplifications did you make in part (c) about the total distance traveled that leaves your answer very close but not exact (friction is not the answer)? Use Related Quantities in conjunction with Order of Magnitude sense-making to justify your assumptions/simplifications.

Solutions

Expert Solution

Here we apply concept of mechanical energy conservation and trigonometry and spiral motion concept.

genius_generous answered 7 months ago
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