Worksheet
Potential Energy Functions
Printer Friendly Version
Refer to the following information for the next fifteen questions.
A particle of mass 0.5 kg obeys the potential energy function
U(x) = 2(x - 1) - (x - 2)
^{3}
where x is measured in meters and U in joules. A graph of this function is given below.
What is the value of U(0)?
What are the values of x
_{1}
and x
_{2}
?
How much potential energy does the particle have at position x
_{1}
?
If the object was initially released from rest, how fast is it moving as it passes through position x
_{1}
?
How much potential energy does the mass have at x
_{2}
?
How fast is it moving through position x
_{2}
?
Which position, x
_{1}
or x
_{2}
, is a position of stable equilibrium?
How fast is the particle moving when its potential energy, U(x) = 0?
If x
_{3}
= ½x
_{1}
, then how fast is the particle moving as it passes through position x
_{3}
?
Sketch the graph of the particle's acceleration as a function of x. Indicate positions x
_{1}
and x
_{2}
on your graph. Describe your graph in the area provided.
At what value of x does the particle experience it greatest negative acceleration?
What is the value of its potential energy at this position?
How much kinetic energy does it have at this position?
What force is being exerted upon it at this position?
What is the value of its acceleration at this position?
Related Documents
Lab:
Labs -
A Battering Ram
Labs -
A Photoelectric Effect Analogy
Labs -
Air Track Collisions
Labs -
Ballistic Pendulum
Labs -
Ballistic Pendulum: Muzzle Velocity
Labs -
Bouncing Steel Spheres
Labs -
Collision Pendulum: Muzzle Velocity
Labs -
Conservation of Energy and Vertical Circles
Labs -
Conservation of Momentum in Two-Dimensions
Labs -
Inelastic Collision - Velocity of a Softball
Labs -
Loop-the-Loop
Labs -
Ramps: Sliding vs Rolling
Labs -
Roller Coaster, Projectile Motion, and Energy
Labs -
Rotational Inertia
Labs -
Rube Goldberg Challenge
Labs -
Spring Carts
Labs -
Target Lab: Ball Bearing Rolling Down an Inclined Plane
Labs -
Video Lab: Blowdart Colliding with Cart
Labs -
Video LAB: Circular Motion
Labs -
Video Lab: M&M Collides with Pop Can
Labs -
Video Lab: Marble Collides with Ballistic Pendulum
Resource Lesson:
RL -
APC: Work Notation
RL -
Conservation of Energy and Springs
RL -
Energy Conservation in Simple Pendulums
RL -
Gravitational Energy Wells
RL -
Mechanical Energy
RL -
Momentum and Energy
RL -
Potential Energy Functions
RL -
Principal of Least Action
RL -
Rotational Dynamics: Pivoting Rods
RL -
Rotational Kinetic Energy
RL -
Springs and Blocks
RL -
Symmetries in Physics
RL -
Tension Cases: Four Special Situations
RL -
Work
RL -
Work and Energy
Worksheet:
APP -
The Jogger
APP -
The Pepsi Challenge
APP -
The Pet Rock
APP -
The Pool Game
CP -
Conservation of Energy
CP -
Momentum and Energy
CP -
Momentum and Kinetic Energy
CP -
Power Production
CP -
Satellites: Circular and Elliptical
CP -
Work and Energy
NT -
Cliffs
NT -
Elliptical Orbits
NT -
Escape Velocity
NT -
Gravitation #2
NT -
Ramps
NT -
Satellite Positions
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Advanced Properties of Freely Falling Bodies #3
WS -
Charged Projectiles in Uniform Electric Fields
WS -
Energy Methods: More Practice with Projectiles
WS -
Energy Methods: Projectiles
WS -
Energy/Work Vocabulary
WS -
Force vs Displacement Graphs
WS -
Introduction to Springs
WS -
Kinematics Along With Work/Energy
WS -
Practice: Momentum and Energy #1
WS -
Practice: Momentum and Energy #2
WS -
Practice: Vertical Circular Motion
WS -
Rotational Kinetic Energy
WS -
Static Springs: The Basics
WS -
Work and Energy Practice: An Assortment of Situations
WS -
Work and Energy Practice: Forces at Angles
TB -
Work, Power, Kinetic Energy
PhysicsLAB
Copyright © 1997-2024
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton