Problem: A car in an amusement park ride rolls without friction around a track . The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle.What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)?If the car starts at height h= 4.10 R and the radius is exttip{R_{ m 1}}{R_1} = 15.0 m , compute the speed of the passengers when the car is at point C, which is at the end of a horizontal diameter.Compute the radial acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.Compute the tangential acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.

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A car in an amusement park ride rolls without friction around a track The figure shows a car rolling around a track with a loop of radius R at three instants. At the first instant, the car is located at point A. This point is located to the left from the loop, and it is at vertical distance h above the bottom of the loop. At the second instant, the car passes the top of the loop. That is point B. At the third instant, the car is at the leftmost point of the loop. That is point C. . The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle.

What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)?

If the car starts at height h= 4.10 R and the radius is = 15.0 m , compute the speed of the passengers when the car is at point C, which is at the end of a horizontal diameter.

Compute the radial acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.

Compute the tangential acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.

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Our tutors have indicated that to solve this problem you will need to apply the Motion Along Curved Paths concept. You can view video lessons to learn Motion Along Curved Paths. Or if you need more Motion Along Curved Paths practice, you can also practice Motion Along Curved Paths practice problems.