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W=Fd and F=ma W is work (energy), F is force, d is distance, m is mass, and a is acceleration.
plug in to get W=mad so ad=W/m
(vf^2)=(vi^2) + 2ad where vf and vi are velocity final and initial respectively.
Assume vi=o so (vf^s)=2ad
rearrange so ad=(vf^2)/2
Plug in again to get W=m[(vf^2)/2] which is kinetic energy.
The work-energy equation for translation is derived by considering the work done by all forces acting on an object, which results in a change in its kinetic energy. Mathematically, it is given by:
[ \text{Work done by all forces} = \Delta(\text{Kinetic energy}) ]
This equation relates the net work done on an object to the change in its kinetic energy during a translational motion.
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What is an equation for work energy theorem?
The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. Mathematically, the equation can be written as W = ΔKE, where W is the work done on the object and ΔKE is the change in its kinetic energy.
How do you calculate displacement of an object using the work-energy equation?
To calculate displacement using the work-energy equation, first calculate the work done on the object using the force applied and the distance moved. Then, equate the work done to the change in kinetic energy of the object using the work-energy equation: Work = Change in kinetic energy = 0.5 * mass * (final velocity^2 - initial velocity^2). Finally, rearrange the equation to solve for displacement.
What is the equation for power in a way that shows what work equals?
Power is equal to the rate at which work is done, so the equation for power can be written as P = W/t, where P is power, W is work, and t is time. This equation shows that power is directly proportional to the amount of work done in a certain amount of time.
Derive Lagrange's equation of motion using D'alembert's principle?
D'Alembert's principle states that the virtual work of the inertial forces is equal to the virtual work of the applied forces for a system in equilibrium. By applying this principle to a system described by generalized coordinates, we can derive Lagrange's equation of motion, which relates the generalized forces, generalized coordinates, and Lagrangian of the system. The resulting equations can be used to describe the dynamics of the system without the need for explicit forces or constraints.
What is the equation used to work out energy efficiency?
Energy efficiency is typically calculated using the equation: Energy Efficiency = (Useful energy output / Energy input) * 100%. This formula helps to quantify how effectively an energy source is converted into useful outputs relative to the total input energy.
What is an equation for work energy theorem?
The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. Mathematically, the equation can be written as W = ΔKE, where W is the work done on the object and ΔKE is the change in its kinetic energy.
How do you calculate displacement of an object using the work-energy equation?
To calculate displacement using the work-energy equation, first calculate the work done on the object using the force applied and the distance moved. Then, equate the work done to the change in kinetic energy of the object using the work-energy equation: Work = Change in kinetic energy = 0.5 * mass * (final velocity^2 - initial velocity^2). Finally, rearrange the equation to solve for displacement.
What is equation to calculate potential energy?
work=force x output
What is the equation for power in a way that shows what work equals?
Power is equal to the rate at which work is done, so the equation for power can be written as P = W/t, where P is power, W is work, and t is time. This equation shows that power is directly proportional to the amount of work done in a certain amount of time.
What is Einstein's photoelectric equation?
E(photon energy)=K.E+Work Function
What is the equation for the amount of energy to move an atom?
The equation for the amount of energy to move an atom is given by the formula E = F × d, where E is the energy, F is the force, and d is the distance the atom moves. This equation represents the work done in moving the atom.
Derive Lagrange's equation of motion using D'alembert's principle?
D'Alembert's principle states that the virtual work of the inertial forces is equal to the virtual work of the applied forces for a system in equilibrium. By applying this principle to a system described by generalized coordinates, we can derive Lagrange's equation of motion, which relates the generalized forces, generalized coordinates, and Lagrangian of the system. The resulting equations can be used to describe the dynamics of the system without the need for explicit forces or constraints.
What is the purpose of th gibbs free energy equation you don't need to know the equation itself?
The purpose is to determine the available energy. Some of the energy in any system is useless - can't be converted into useful work.
What is WORK defined in science?
Work is the transfer of energy, measured in Joules. so if you lift a book in the air you have transferred energy to it (your kinetic energy to its gravitational energy) and so you have done WORK The equation to calculate mechanical work is: WD = Force x distance For electrical work it is WD = V I t
What is the equation used to work out energy efficiency?
Energy efficiency is typically calculated using the equation: Energy Efficiency = (Useful energy output / Energy input) * 100%. This formula helps to quantify how effectively an energy source is converted into useful outputs relative to the total input energy.
What are the rewards that women derive from work?
none
What are the assumptions underlying Bernoulli's energy equation?
The assumptions underlying Bernoulli's energy equation are: steady flow, incompressible fluid, no energy losses due to friction or heat transfer, no shaft work being done on the fluid, and no changes in elevation.
