A 1,000kg roller-coaster car rested at point 1 of height y=60m and started to slide down along a smooth track. Assume the potential energy is zero at the valley (point 2) of the track.What is the potential energy when the car is at point 1?What is the kinetic energy at point 1?What is the height of point 3 so that the potential energy at this point is only half of that of point 1?What is the speed of car at point 2?What is the speed at point 3?If the second hill is part of a circle, and this circle has radius R=50.0m and the center is at y=0m (same horizontal level as point 2). What condition will the car satisfy when the car leaves the track? (only explain, no calculation)Please give Newton’s 2nd law for the car at point 3 (expression)Please find the height and jump angle when the car leaves the track point 1point 3ypoint 2

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Answered: 1,000kg roller-coaster car rested at…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A 1,000kg roller-coaster car rested at point 1 of height y=60m and started to slide down along a smooth track. Assume the potential energy is zero at the valley (point 2) of the track.

What is the potential energy when the car is at point 1?
What is the kinetic energy at point 1?
What is the height of point 3 so that the potential energy at this point is only half of that of point 1?
What is the speed of car at point 2?
What is the speed at point 3?
If the second hill is part of a circle, and this circle has radius R=50.0m and the center is at y=0m (same horizontal level as point 2). What condition will the car satisfy when the car leaves the track? (only explain, no calculation)
Please give Newton’s 2^nd law for the car at point 3 (expression)

Please find the height and jump angle when the car leaves the track