I have a practice question and would like help with explaining the solution. Log Ride (object sliding down a circularly curved slope).In an amusement park ride, a boat moves slowly in a narrow channel of water. It then passes over aslope into a pool below as shown. The water in the channel ensures that there is very little friction.AB./RPAxOn this particular ride, the slope (the black arc through points A and B) is a circular curve of radius R,centered on point P. The dotted line shows the boat's trajectory. At some point B along the slope, theboat (and the water falling with it) will separate from the track and fall freely as shown. Note that thepond is level with point P.Considering the boat as a particle, assume it starts from rest at point A and slides down the slopewithout friction.a) Determine the angle $sep at which the boat will separate from the track.b) Determine the horizontal distance Ax (from point P) at which the boat strikes the pond surface.c) Determine the impact speed v, and impact angle 0.Hints:Derive a formula giving the maximum speed vmax at which the boat can stay on the track, interms of the angle p. (Circular kinematics.)Derive a formula for the speed v of the boat as it traverses the circular slope, in terms of theangle p. (Conservation of energy.)

When an object is thrown obliquely near the earth's surface, it moves along a curved path. Such a…

In an amusement park ride, a boat moves slowly in a narrow channel of water. It then passes over a slope into a pool below as shown. The water in the channel ensures that there is very little friction. A B. C P Ax On this particular ride, the slope (the black arc through points A and B) is a circular curve of radius R, centered on point P. The dotted line shows the boat's trajectory. At some point B along the slope, the

In an amusement park ride, a boat moves slowly in a narrow channel of water. It then passes over a slope into a pool below as shown. The water in the channel ensures that there is very little friction. A B. C P Ax On this particular ride, the slope (the black arc through points A and B) is a circular curve of radius R, centered on point P. The dotted line shows the boat's trajectory. At some point B along the slope, the

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 10PQ

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Log Ride (object sliding down a circularly curved slope). In an amusement park ride, a boat moves slowly in a narrow channel of water. It then passes over a slope into a pool below as shown. The water in the channel ensures that there is very little friction. A B. R C Ax On this particular ride, the slope (the black arc through points A and B) is a circular curve of radius R, centered on point P. The dotted line shows the boat's trajectory. At some point B along the slope, the boat (and the water falling with it) will separate from the track and fall freely as shown. Note that the pond is level with point P. Considering the boat as a particle, assume it starts from rest at point A and slides down the slope without friction. a) Determine the angle psep at which the boat will separate from the track. b) Determine the horizontal distance Ax (from point P) at which the boat strikes the pond surface. c) Determine the impact speed v, and impact angle 0. Hints: Derive a formula giving the…
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