The acceleration of the board at the moment its front end has travelled a distance x beyond the boundary.

Question

You are working with a team that is designing a new roller coaster-type amusement park ride for a major theme park. You are present for the testing of the ride, in which an empty 210 kg car is sent along the entire ride. Near the end of the ride, the car is at near rest at the top of a 103 m tall track. It then enters a final section, rolling down an undulating hill to ground level. The total length of track for this final section from the top to the ground is 250 m. For the first 230 m, a constant friction force of 350 N acts from computer-controlled brakes. For the last 20 m, which is horizontal at ground level, the computer increases the friction force to a value required for the speed to be reduced to zero just as the car arrives at the point on the track at which the passengers exit. (a) Determine the required constant friction force (in N) for the last 20 m for the empty test car. N (b) Find the highest speed (in m/s) reached by the car during the final section of track length…

Answer 1

Question

Chapter 8, Problem 45CP

(a)

To determine

To determine: The acceleration of the board at the moment its front end has travelled a distance x beyond the boundary.

(b)

To determine

To determine: The initial speed of the board if the board stops at the moment its back end reaches the boundary.

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You are working with a team that is designing a new roller coaster-type amusement park ride for a major theme park. You are present for the testing of the ride, in which an empty 210 kg car is sent along the entire ride. Near the end of the ride, the car is at near rest at the top of a 103 m tall track. It then enters a final section, rolling down an undulating hill to ground level. The total length of track for this final section from the top to the ground is 250 m. For the first 230 m, a constant friction force of 350 N acts from computer-controlled brakes. For the last 20 m, which is horizontal at ground level, the computer increases the friction force to a value required for the speed to be reduced to zero just as the car arrives at the point on the track at which the passengers exit. (a) Determine the required constant friction force (in N) for the last 20 m for the empty test car. N (b) Find the highest speed (in m/s) reached by the car during the final section of track length…

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