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When is work done on an object?
When a force causes a displacement of an object
Definition of work done on an object
the amount of energy transferred to an object through work (when you are exerting a force on an object that causes its position to change in the same direction as that of the force, you are doing work on this object)
Why doesn’t a student holding a chair do work?
The force does not move the object
Under what conditions does a force acting on an object which undergoes a displacement do work?
A force does work when it has a component parallel (or antiparallel) to displacement
What is the equation for the work done by a force applied at an angle to displacement?
W = |F| |d| cos (theta)
What is the SI unit for work and energy and what units is it a product of?
Joule (J) ; 1J = 1N x 1m
Why is the sign of work important?
If the net work is positive, the object speeds up and if the net work done is negative, the object slows down
When is work negative?
For angles greater than 90 degrees and less than 270 degrees
What two quantities affect an object’s KE?
Mass and speed
Work-Energy Theorem
The net work done to an object equals its change in kinetic energy
How does the work energy theorem allow us to think about KE?
It allows us to think about KE as the work done an object can do as it changes speed
Potential energy is associated with what aspect of an object?
its position
Give the equation for gravitational PE
Gravitational PE = mgh
What does the spring constant tell you about a spring?
the stiffness of a spring
What two quantities does elastic PE depend on?
the spring constant and the distance compressed or stretched
Give the equation for elastic PE
Elastic PE = (1/2)kx²
What is ME?
ME is the sum of all forms of KE and PE
Explain what is meant by conservation of ME
It means that the amount of ME is constant
Explain why total energy is conserved even if ME is not
It is because ME can be converted to (or from) non mechanical forms
What is power?
the rate at which work is done or energy is transformed
Give two equations for power
P = W/t
P = Fv
Law of conservation of energy
energy cannot be created or destroyed, only transformed
what does ME include
KE and PE
What do non conservative forces include
friction, air resistance, forces from people and animals, forces from engines and machines
what type of force is friction
a non conservative force
What do conservative forces include
the force of gravity, the force of static electricity, and elastic forces (the force of an ideal spring)
Non conservative forces can increase…
ME
what is the angle between the force of gravity and the displacement of a freely falling object
180 degrees
How does the impact of positive work done to an object differ from the impact of negative work done to an object
Positive work increases KE while negative work decreases KE
Why isn’t work from gravity included in the equation for the law of conservation of energy
It is already accounted for by the initial and final potential energy
Energy
the ability to do work
How can an object with KE do work
An object in motion can collide with another object and exert a force on it as the object is moved over a distance
What does the statement that ME is conserved mean
It means that the sum of all potential and kinetic energies before and after a process is that same
Under what conditions is ME conserved
when no work is done by non conservative forces
Is energy still conserved when ME is not conserved?
Yes, because the net amount of ME gained or lost is exactly equal to the amount of other forms of energy that are lost or gained
What is meant by dynamic equilibrium
It occurs when an object is in constant velocity motion under the influence of balanced forces
What is the rate at which work is done or energy is transformed called
power
what kind of energy is energy of position
potential energy
what two quantities does KE depend on
mass and the magnitude of velocity (speed)
According to the Work-Energy Theorem, what’s is equal to the change in an object’s KE
the total work done to an object
what two things must happen for work to be done to an object
the object must move and a force with a component in the direction of motion must be applied to the object
under what conditions does a force do negative work
when the force has a component opposite to the direction of motion
what are two reasons why a force might not do any work
either the force is perpendicular to displacement or the object does not move
what is the work done by gravity to move an object to zero height called
Gravitational PE
what does the spring constant of a spring tell you about the spring
The spring constant tells you how stiff the spring is with stiffer springs having larger spring constants