AP Free Response Question
2009 B2
Printer Friendly Version
Two small objects, labeled 1 and 2 in the diagram above, are suspended in equilibrium from strings of length
L
. Each object has mass m and charge
+Q
. Assume that the strings have negligible mass and are insulating and electrically neutral. Express all algebraic answers in terms of
m
,
L
,
Q
,
, and fundamental constants.
(a) On the following diagram, sketch lines to illustrate a 2-dimensional view of the net electric field due to the two objects in the region enclosed by the dashed lines.
(b) Derive an expression for the electric potential at point A, shown in the diagram at the top of the page, which is midway between the charged objects.
(c) On the following diagram of object 1, draw and label vectors to represent the forces on the object.
(d) Using the conditions of equilibrium, write—but do not solve—two equations that could, together, be solved for
and the tension
T
in the left-hand string.
Topic Formulas
Description
Published Formula
capacitance
Coulomb's Law
electric field
electric potential energy
energy stored in a capacitor
friction
gravitational potential energy
Hooke's Law
Newton's 2nd Law
Newton's Law of Universal Gravitation
parallel-plate capacitor
potential and electric field strength
potential due to a collection of point charges
Related Documents
Lab:
Labs -
Aluminum Foil Parallel Plate Capacitors
Labs -
Coefficient of Friction
Labs -
Coefficient of Friction
Labs -
Coefficient of Kinetic Friction (pulley, incline, block)
Labs -
Conservation of Momentum in Two-Dimensions
Labs -
Electric Field Mapping
Labs -
Electric Field Mapping 2
Labs -
Falling Coffee Filters
Labs -
Force Table - Force Vectors in Equilibrium
Labs -
Inelastic Collision - Velocity of a Softball
Labs -
Inertial Mass
Labs -
LabPro: Newton's 2nd Law
Labs -
Loop-the-Loop
Labs -
Mass of a Rolling Cart
Labs -
Mass of an Electron
Labs -
Moment of Inertia of a Bicycle Wheel
Labs -
RC Time Constants
Labs -
Relationship Between Tension in a String and Wave Speed
Labs -
Relationship Between Tension in a String and Wave Speed Along the String
Labs -
Static Equilibrium Lab
Labs -
Static Springs: Hooke's Law
Labs -
Static Springs: Hooke's Law
Labs -
Static Springs: LabPro Data for Hooke's Law
Labs -
Terminal Velocity
Labs -
Video LAB: A Gravitron
Labs -
Video LAB: Ball Re-Bounding From a Wall
Labs -
Video Lab: Falling Coffee Filters
Resource Lesson:
RL -
A Comparison of RC and RL Circuits
RL -
Advanced Gravitational Forces
RL -
Air Resistance
RL -
Air Resistance: Terminal Velocity
RL -
Capacitors and Dielectrics
RL -
Continuous Charge Distributions: Charged Rods and Rings
RL -
Continuous Charge Distributions: Electric Potential
RL -
Coulomb's Law: Beyond the Fundamentals
RL -
Coulomb's Law: Suspended Spheres
RL -
Derivation of Bohr's Model for the Hydrogen Spectrum
RL -
Dielectrics: Beyond the Fundamentals
RL -
Electric Field Strength vs Electric Potential
RL -
Electric Fields: Parallel Plates
RL -
Electric Fields: Point Charges
RL -
Electric Potential Energy: Point Charges
RL -
Electric Potential: Point Charges
RL -
Electrostatics Fundamentals
RL -
Famous Experiments: Millikan's Oil Drop
RL -
Forces Acting at an Angle
RL -
Freebody Diagrams
RL -
Gauss' Law
RL -
Gravitational Energy Wells
RL -
Inclined Planes
RL -
Inertial vs Gravitational Mass
RL -
LC Circuit
RL -
Newton's Laws of Motion
RL -
Non-constant Resistance Forces
RL -
Parallel Plate Capacitors
RL -
Properties of Friction
RL -
Shells and Conductors
RL -
Spherical, Parallel Plate, and Cylindrical Capacitors
RL -
Springs and Blocks
RL -
Springs: Hooke's Law
RL -
Static Equilibrium
RL -
Systems of Bodies
RL -
Tension Cases: Four Special Situations
RL -
The Law of Universal Gravitation
RL -
Universal Gravitation and Satellites
RL -
Universal Gravitation and Weight
RL -
What is Mass?
RL -
Work and Energy
Review:
REV -
Drill: Electrostatics
REV -
Electrostatics Point Charges Review
Worksheet:
APP -
Big Fist
APP -
Family Reunion
APP -
The Antelope
APP -
The Birthday Cake
APP -
The Box Seat
APP -
The Electrostatic Induction
APP -
The Jogger
CP -
Action-Reaction #1
CP -
Action-Reaction #2
CP -
Coulomb's Law
CP -
Electric Potential
CP -
Electrostatics: Induction and Conduction
CP -
Equilibrium on an Inclined Plane
CP -
Falling and Air Resistance
CP -
Force and Acceleration
CP -
Force and Weight
CP -
Force Vectors and the Parallelogram Rule
CP -
Freebody Diagrams
CP -
Gravitational Interactions
CP -
Incline Places: Force Vector Resultants
CP -
Incline Planes - Force Vector Components
CP -
Inertia
CP -
Mobiles: Rotational Equilibrium
CP -
Net Force
CP -
Newton's Law of Motion: Friction
CP -
Static Equilibrium
CP -
Tensions and Equilibrium
NT -
Acceleration
NT -
Air Resistance #1
NT -
An Apple on a Table
NT -
Apex #1
NT -
Apex #2
NT -
Electric Potential vs Electric Potential Energy
NT -
Electrostatic Attraction
NT -
Falling Rock
NT -
Falling Spheres
NT -
Friction
NT -
Frictionless Pulley
NT -
Gravitation #1
NT -
Head-on Collisions #1
NT -
Head-on Collisions #2
NT -
Ice Boat
NT -
Lightning
NT -
Photoelectric Effect
NT -
Potential
NT -
Rotating Disk
NT -
Sailboats #1
NT -
Sailboats #2
NT -
Scale Reading
NT -
Settling
NT -
Skidding Distances
NT -
Spiral Tube
NT -
Tensile Strength
NT -
Terminal Velocity
NT -
Tug of War #1
NT -
Tug of War #2
NT -
Two-block Systems
NT -
Van de Graaff
NT -
Water Stream
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Calculating Force Components
WS -
Capacitors - Connected/Disconnected Batteries
WS -
Charged Projectiles in Uniform Electric Fields
WS -
Combinations of Capacitors
WS -
Combining Kinematics and Dynamics
WS -
Coulomb Force Extra Practice
WS -
Coulomb's Law: Some Practice with Proportions
WS -
Distinguishing 2nd and 3rd Law Forces
WS -
Electric Field Drill: Point Charges
WS -
Electric Fields: Parallel Plates
WS -
Electric Potential Drill: Point Charges
WS -
Electrostatic Forces and Fields: Point Charges
WS -
Electrostatic Vocabulary
WS -
Force vs Displacement Graphs
WS -
Freebody Diagrams #1
WS -
Freebody Diagrams #2
WS -
Freebody Diagrams #3
WS -
Freebody Diagrams #4
WS -
Introduction to Springs
WS -
Kinematics Along With Work/Energy
WS -
Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
WS -
Lab Discussion: Inertial and Gravitational Mass
WS -
net F = ma
WS -
Parallel Reading - The Atom
WS -
Practice: Vertical Circular Motion
WS -
Ropes and Pulleys in Static Equilibrium
WS -
Standard Model: Particles and Forces
WS -
Static Springs: The Basics
WS -
Vocabulary for Newton's Laws
WS -
Work and Energy Practice: Forces at Angles
TB -
Advanced Capacitors
TB -
Basic Capacitors
TB -
Electric Field Strength vs Electric Potential
TB -
Systems of Bodies (including pulleys)
TB -
Work, Power, Kinetic Energy
CB-ETS
Copyright © 1970-2024
All rights reserved.
Used with
permission
Mainland High School
Daytona Beach, FL 32114