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What is the expression for the kinetic energy of a particle in polar coordinates?
The expression for the kinetic energy of a particle in polar coordinates is 1/2 m (r' r'), where m is the mass of the particle, r is the radial distance, r' is the derivative of r with respect to time, and ' is the derivative of with respect to time.
How do you get the second derivative of potential energy?
The same way you get the second derivative from any function. Assuming you have a function that expresses potential energy as a function of time, or perhaps as a function of position, you take the derivate of this function. This will give you another function. Then, you take the derivate of this derivative, to get the second derivative.
What is the expression for kinetic energy in spherical coordinates?
The expression for kinetic energy in spherical coordinates is given by: KE 0.5 m (r2) ('2 sin2() '2) where KE is the kinetic energy, m is the mass of the object, r is the radial distance, is the polar angle, is the azimuthal angle, and ' and ' are the angular velocities in the respective directions.
What is the relation between a rise in temperature and kinetic energy?
Temperature is an expression of the vibration of the atoms or molecules from which substances are made. The more the vibration the hotter the substance. As the energy of movement (vibration is movement) is Kinetic energy, heat/temperature is also a form of Kinetic energy.
Energy an object has due to its motion?
kinetic energyThe energy of motion is kinetic energy.
What is the expression for the kinetic energy of a particle in polar coordinates?
The expression for the kinetic energy of a particle in polar coordinates is 1/2 m (r' r'), where m is the mass of the particle, r is the radial distance, r' is the derivative of r with respect to time, and ' is the derivative of with respect to time.
What is the expression for kinetic energy?
joules
What is the conversion of the vehicles kinetic energy into electrical energy called?
Dynamic breaking.
Show that derivative of kinetic energy is equal to force times velocity?
dKE/dt = P= F.v Where KE is Kinetic Energy and P is Power.
How do you get the second derivative of potential energy?
The same way you get the second derivative from any function. Assuming you have a function that expresses potential energy as a function of time, or perhaps as a function of position, you take the derivate of this function. This will give you another function. Then, you take the derivate of this derivative, to get the second derivative.
What is The total energy. Of the particles of an object?
The total energy of an object depends mainly on the mass of the particular object and the bond formation, and conditions such as temperature, pressure etc.
What is the expression for kinetic energy in spherical coordinates?
The expression for kinetic energy in spherical coordinates is given by: KE 0.5 m (r2) ('2 sin2() '2) where KE is the kinetic energy, m is the mass of the object, r is the radial distance, is the polar angle, is the azimuthal angle, and ' and ' are the angular velocities in the respective directions.
The conversion of potential energy in coal into the kinetic energy that heats steam is an expression of?
The conversion of potential energy in coal into kinetic energy that heats steam is an expression of the first law of thermodynamics, which states that energy cannot be created or destroyed, only transferred or transformed. In this case, the potential energy stored in coal is transformed into kinetic energy in the form of heat to generate steam power.
Why is a roller coaster using mechanical energy?
uase it just does. The cars move. Motion of material things IS kinetic energy.
What is the relation between a rise in temperature and kinetic energy?
Temperature is an expression of the vibration of the atoms or molecules from which substances are made. The more the vibration the hotter the substance. As the energy of movement (vibration is movement) is Kinetic energy, heat/temperature is also a form of Kinetic energy.
Derivative of kinetic energy?
The derivative of kinetic energy with respect to time is equal to the power (rate of change of energy) of the system. This can be found using the equation ( P = \frac{dE_{\text{kin}}}{dt} = F \cdot v ), where ( F ) is the force applied and ( v ) is the velocity of the object.
Energy an object has due to its motion?
kinetic energyThe energy of motion is kinetic energy.
