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Work
Force in the direction of the displacement
A force exerted through a distance performs mechanical work.
Joule
Units: The unit of Force is the Newton. Unit of displacement is the meter. Thus, the unit for work is the Newton - meter. We define a joule, J as:
1 J = 1 Nm
We can break the definition of joule into basic kg, m and s units as:
1 J = 1 Nm = 1 (kgm/s2)m = 1 kgm2/s2
Kinetic Energy
In general, the kinetic energy of an object is the energy due to the object's motion.
Unlike work, K is always greater than or equal to zero (there is no negative kinetic energy).
Power
Power is a measure of how quickly work is done. We define average power as the total work done divided by the time it takes to perform the work.
Work-Energy Theorem
states that The work done equals the change in kinetic energy.
Potential Energy
Potential Energy is stored energy. When a conservative force does an amount of work, Wc, the corresponding potential energy, U is changed
Mehcanical Energy
as the sum of the potential and kinetic energies of an object.
Nonconservative work
the work done by a non-conservative force
Conservative work
the work done by a conservative force
Conservative forces
When a conservative force acts, the work the force does is stored in the form of energy that can be released at a later time. (gravity and springs)
Non conservative forces
Nonconservative forces change the amount of mechanical energy in a system. They might decrease the mechanical energy by converting the energy to thermal energy or take muscular work to increase kinetic or potential energy in a system. (friction, air resistance, and push-pull forces)
Conservation of Mechanical Energy
Now that we have introduced both kinetic energy, K (the energy of motion) and potential energy, U (the energy of position), we can define mechanical energy, E as the sum of the potential and kinetic energies of an object. In systems with only conservative forces, the mechanical energy, E, is constant.