Ch 07: Work & 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: The figure is the force-versus-position graph for a particle moving along the x-axis. Determine the work done on the particle during each of the three intervals 0-1 m, 1-2 m, and 2-3 m.

Problem

The figure is the force-versus-position graph for a particle moving along the x-axis. Determine the work done on the particle during each of the three intervals 0-1 m, 1-2 m, and 2-3 m. A graph shows the x-component of force as a function of position. Position is measured from 0 to 3 meters on the x-axis. The force is measured from -4 to 4 newtons on the y-axis. In the distance interval from 0 to 1.5 meters, the x-component of the force equals 4 newtons. In the distance interval from 1.5 to 2 meters, the x-component of the force equals -4 newtons. In the distance interval from 2 to 3 meters, the x-component of the force linearly rises from -4 to 0 newtons. At the distances beyond 3 meters, the force is 0 newtons.