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B 7.5 m 20 m The roller coaster car having a mass of 157-kg has a speed of 4 m/s at A. Determine the minimal height h of A if the track is designed so that the car does not leave it at B.

B 7.5 m 20 m The roller coaster car having a mass of 157-kg has a speed of 4 m/s at A. Determine the minimal height h of A if the track is designed so that the car does not leave it at B.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Roller Coaster Physics Problem** **Diagram Description:** The image features a roller coaster track with three significant points labeled A, B, and C. The track begins at the highest point A, then descends into a loop, with the top of the loop marked as point B. The height of point B from the ground is 7.5 meters. After the loop, the track continues horizontally at point C, which is 20 meters above the ground. The drop from point A is denoted by the variable \( h \), representing the height from A to the horizontal line at point C. **Problem Statement:** The roller coaster car, with a mass of 157 kg, starts at point A moving at a speed of 4 m/s. The task is to determine the minimal height \( h \) of point A, ensuring that the car remains on the track at point B and does not leave it.
Transcribed Image Text:**Roller Coaster Physics Problem** **Diagram Description:** The image features a roller coaster track with three significant points labeled A, B, and C. The track begins at the highest point A, then descends into a loop, with the top of the loop marked as point B. The height of point B from the ground is 7.5 meters. After the loop, the track continues horizontally at point C, which is 20 meters above the ground. The drop from point A is denoted by the variable \( h \), representing the height from A to the horizontal line at point C. **Problem Statement:** The roller coaster car, with a mass of 157 kg, starts at point A moving at a speed of 4 m/s. The task is to determine the minimal height \( h \) of point A, ensuring that the car remains on the track at point B and does not leave it.
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