Kinetic Energy Formula. There is a formula for calculating it in every one of its forms. Roughly put, kinetic energy is possessed by an object due its motion, relative to a frame of reference. It is the amount of work necessitated, to accelerate an object from its state of rest to a particular velocity.
Kinetic Energy Tutorial
Kinetic Energy:
Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its current velocity.
Kinetic Energy Formula :
Kinetic Energy: Ek = ½ mv2 Mass: m = Ek / ½ v2Velocity:
where,
Ek = Kinetic Energy, M = Mass of object, V = Velocity or Speed of object,
Kinetic Energy Example:
Case 1:
Determine the Kinetic energy of a 500kg roller coaster train which moves at a speed of 20 m/s. M = 500 kg, V = 20 m/s
Step 1:
![Kinetic energy formula explained Kinetic energy formula explained](http://astronomyonline.org/Science/Images/Mathematics/KineticEnergyGasAtomorMolecule.gif)
Substitute the values in the below kinectic energy formula:
Kinetic Energy: Ek = ½ mv2
=½ x 500 x 202 = 0.5 x 500 x 400 Kinetic Energy: Ek = 100000 Joules or 1 x 105 Joules This example will guide you to calculate the kinetic energy manually.
Case 2:
What is the speed of a 55 kg woman running with a kinetic energy of 412.7 J? Ek = 412.7, M = 55 kg
Step 1:
Substitute the values in the below Velocity formula:
This example will guide you to calculate the velocity manually.
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This tutorial will help you dynamically to find the Kinetic Energy problems.
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By johnmcgee
Any given spring anchored at one end has what is called a “spring constant,” k. This constant linearly relates the spring’s restoring force to the distance it is distended. The end has what is called an equilibrium point, its position when the spring has no stresses on it. After a mass attached to the free end of the spring is released, it oscillates back and forth. Its kinetic energy and potential energy stay constant. As the mass passes through the equilibrium point, the kinetic energy reaches its maximum. You can calculate the kinetic energy at any point based on the spring’s potential energy when initially released.
Determine the spring’s initial potential energy. From calculus, the formula is (0.5)kx^2, where x^2 is the square of the initial displacement of the end of the spring. The kinetic and potential energy at any point will sum to this value.
Identify the spring’s maximum kinetic energy, at the equilibrium point, as equal to the initial potential energy.
Calculate the kinetic energy at any other point of displacement, X, by subtracting the potential energy at that point from the initial potential energy: KE = (0.5)kx^2 - (0.5)kX^2.
For example, if k=2 Newtons per centimeter and the initial displacement from the equilibrium point was 3 centimeters, then the kinetic energy at 2 centimeters of displacement is (0.5)2_3^2 - (0.5)2_2^2 = 5 Newton-meters.
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