14. [2pt] You are calculating the speed at which a dropped rock will hit the bot

Question

14. [2pt] You are calculating the speed at which a dropped rock will hit the bottom of a deep well. Employing conservation of mechanical energy, you derive derive Here, d is the depth of the well and g is free fall acceleration. Let v1 be the speed for a well with a depth of d1. For a well that is half as deep the speed would be 15. [2pt] A roller coaster cart approaches a sequence of two hills, the second twice as high as the first. At the top of the first hill, the cart has slowed down to 75% of its initial speed. Which statement is correct?

Explanation / Answer

d' =d1/2

v' = sqrt(2gd') = sqrt(2gd1/2)= sqrt(2gd1) / sqrt(2)

v' = v1 / sqrt(2)

option ": C

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