14. You are calculating the speed at which a dropped rock will hit the bottom of
ID: 1286656 • Letter: 1
Question
14. 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 v =square root 2gd 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 A) 3 x v1 B) square root 2 x v1 C) v1/square root 2 D) 4 x v1 E) 2 x v1 15. 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? (Ignore friction.)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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