Problem 8 An object is released from rest on a frictionless ramp of angle o, equ

Question

Problem 8 An object is released from rest on a frictionless ramp of angle o, equal to 60.0°, at a (vertical) height H1 equal to 13.0 m above the base of the ramp (see the figure below). The bottom end of the ramp merges smoothly with a second frictionless ramp that rises at angle o2 equal to 37.0%. 6, How far up the second ramp, as measured along the ramp, does the object slide before coming to a momentary stop? (Express your answer to three significant figures.) m Submit 2When the object is on its way back down the second ramp, what is object's speed at the moment that it is a (vertical) height H2 equal to 5.00 m above the base of the ramp? (Express your answer to three significant figures.) m/s Submit

Explanation / Answer

1) from energy conservation,

H1 = H2

and H2 = L sin37

L = 13 / sin37 = 21.6 m ......Ans

2) Applying energy conservation,

Pei + KEi = PEf + KEf

m g H1 + 0 = m g H2 + m v^2 / 2

v^2 = 2 x 9.8 x (13- 5)

v = 12.5 m/s

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