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WORK, POWER, KINETIC ENERGY (KE), GRAVITATIONAL POTENTIAL ENERGY (GPE),…
WORK
work done by a constant force:
Work is done when a force is applied, at least partially, in the direction of the displacement of the object. If that force is constant then the work done by the force is the dot product of the force with the displacement w=fd
work done by a variable force:
Work done by a force can be divided into work from a constant force and work from a variable force. In the former kind, the magnitude and direction of the force remain unaltered. In such a case, work (W) is equal to the force applied (F) multiplied by displacement (Δx). Therefore, W = F x Δx.
work done by a spring force:
The spring force formula is expressed through the equation: F = – kx. As a formula, it reworks
Hooke's Law and is expressed through the equation: k = – F/x. Where k is the spring constant, F is the force applied over x, and x is the displacement by the spring expressed in N/m.
work energy theorem:
The net work done on a particle equals the change in the particle's kinetic energy: W net = K B − K A .
POWER
Definition: time rate of doing work or delivering energy, expressible as the amount of work done W, or energy transferred, divided by the time interval t—or W/t.
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How do you calculate power energy?
The formula that links energy and power is: Energy = Power x Time. The unit of energy is the joule, the unit of power is the watt, and the unit of time is the second.
Power Formula. Power is a rate at which work is done, or energy is used. It is equal to the amount of work done divided by the time it takes to do the work. The unit of power is the Watt (W), which is equal to a Joule per second (J/s). P = power (W, or J/s)
KINETIC ENERGY (KE)
example:
a kinetic energy of 12 000 J just prior to hitting the bucket of water. If the mass is 40 kg, then what is her speed?
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Kinetic energy is the energy of motion. ... The amount of translational kinetic energy (from here on, the phrase kinetic energy will refer to translational kinetic energy) that an object has depends upon two variables: the mass (m) of the object and the speed (v) of the object.
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.
What is the relationship between work and kinetic energy?
The principle of work and kinetic energy (also known as the work-energy theorem) states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle.
What is the relationship between kinetic energy and velocity?
Kinetic energy depends on the velocity of the object squared. This means that when the velocity of an object doubles, its kinetic energy quadruples.
What is the relation between kinetic energy and acceleration?
The kinetic energy of an accelerating object is simply E=12mv2 for v at that instance in time. The difference with an accelerating object is that that v is constantly changing.
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