The toy car in the figure is released from rest at height H = aR where a = 1.99 Ris the radius of the circular loop. Neglecting friction and the car's size, find the height h where the car loses contact with the track. Express h in terms of the loop radius R and fill in the missing factor below. [Hint: the car's mass doesn't matter and a familiar force goes to zero at the point where it loses contact with the track. Use a FBD and Newton's second law to find speed at that point, and then use conservation of energy to find the height at that speed. Eliminate other variables to express that height in terms of R.]

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The toy car in the figure is released from rest at height H = «Rwhere a = 1.99 and
Ris the radius of the circular loop. Neglecting friction and the car's size, find the
height h where the car loses contact with the track. Express h in terms of the loop
radius R and fill in the missing factor below.
[Hint: the car's mass doesn't matter and a familiar force goes to zero at the point
where it loses contact with the track. Use a FBD and Newton's second law to find the
speed at that point, and then use conservation of energy to find the height at that
speed. Eliminate other variables to express that height in terms of R.]
R
H
h = R
%3|
Transcribed Image Text:The toy car in the figure is released from rest at height H = «Rwhere a = 1.99 and Ris the radius of the circular loop. Neglecting friction and the car's size, find the height h where the car loses contact with the track. Express h in terms of the loop radius R and fill in the missing factor below. [Hint: the car's mass doesn't matter and a familiar force goes to zero at the point where it loses contact with the track. Use a FBD and Newton's second law to find the speed at that point, and then use conservation of energy to find the height at that speed. Eliminate other variables to express that height in terms of R.] R H h = R %3|
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