14. -2 points FRKestenCP1 6.P.083 My Notes An object is released from rest on a

Question

14. -2 points FRKestenCP1 6.P.083 My Notes An object is released from rest on a frictionless ramp of angle 1 equal to 55®, at a vertical height H equal to 12 m above the base of the ramp see fig ire elo·The bottom end of the ramp merges smoothly with a second frictionless ramp that rises at angle 62 equal to 38 (a) How far up the second ramp, as measured along the ramp, does the object slide before coming to a momentary stop? (b) When the object is on its way back down the second ramp, what is its speed at the moment that it is a (vertical) height H2 equal to 8 m above the base of the ramp? m/s Supporting Materials Picture It eBook

Explanation / Answer

We know that with no friction that mg*12 = mg*12 on the 2nd ramp but on the second ramp:

12 = L*sin38 and L is the distance requested.
L = 12/sin38 = 19.5 m

mg*12 = mg*8 + ½mV²
2*mg*4/m = V²

V^2 = 8g = 78.4
V = 8.85 m/s at height = 8 meters on the second ramp

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