Ch 08: Conservation of EnergyWorksheetSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Solution: 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 mini

Problem

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.