I got Part B wrong and wasn't sure where at. Could someone walk me through it? 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.АBRДхOn 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 øsep 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 vf 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.)

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Description: I got Part B wrong and wasn't sure where at. Could someone walk me through it? 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 poo

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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. А В R 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, t boat (and the water falling with it) will separate from the track and fall freely as shown. Note that th 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 surfa c) Determine the impact speed vf and impact angle 0. Hints: Derive a formula giving the maximum speed Vmax at which the boat can stay on the track, in terms 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 the angle p. (Conservation of energy.)

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. А В R 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, t boat (and the water falling with it) will separate from the track and fall freely as shown. Note that th 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 surfa c) Determine the impact speed vf and impact angle 0. Hints: Derive a formula giving the maximum speed Vmax at which the boat can stay on the track, in terms 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 the angle p. (Conservation of energy.)

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.18P

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