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 100 g particle experiences the one-dimensional, conservative force Fx shown in the figure.Let the zero of the potential energy be at x = 0 m.What is the potential energy at x = 1.0, 2.0

Problem

A 100 g particle experiences the one-dimensional, conservative force Fx shown in the figureThe figure is a graph of x-component of a force F x versus distance x. F x is measured on the ordinate axis in newtons and x is measured on abscissa axis in meters. F x equals -20 at x equal to 0 and remains constant as x increases to 3. Then F x increases linearly to 0 as x increases to 4 and remains constant as x increases to 5..

Let the zero of the potential energy be at x = 0 m.What is the potential energy at x = 1.0, 2.0, 3.0, and 4.0 m? Hint: Think about the definition of potential energy and the geometric interpretation of the work done by a varying force.

Suppose the particle is shot toward the right from x = 1.0 m with a speed of 24 m/s. Where is the particles turning point?