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Why is there half the number mv2 in the equation of kinetic energy?
Wiki User
∙ 9y ago
The formula as usually written is.............
KE =1/2 mass * velocity squared
KE = 1/2mV^2
but you can rewrite this as..........
KE = mV^2/2
which answers your question by saying........
mass and velocity squared are divided by 2 to get kinetic energy
Wiki User
∙ 13y ago
Wiki User
∙ 9y agoYou can find the derivation in the Wikipedia article on "Kinetic energy". This general derivation uses calculus, of course. In the specific case that an object is accelerated at constant acceleration, you can apply the formula:
work = force x distance
to the formula for constant acceleration, where the final position is (1/2)at2. You can assume any convenient acceleration, and use variable "m" for mass. The point is that the force has to be applied over this entire distance. In this case, it is clear that the factor 1/2 for kinetic energy can be derived from the factor 1/2 in the total distance during which the force must be applied.
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Is kinetic energy of a body in motion equals the product of half its acceleration?
No. Kinetic energy is 1/2 times mass times velocity squared - so as you can see, acceleration doesn't even enter the equation. If it accelerates, the speed will change, though, and so will its kinetic energy.
When you multiply half the mass of an object by its speed squared you calculate its?
kinetic energy
Do changes in velocity and mass have the same effect on kinetic energy?
Kinetic energy is equal to one half the mass times the square of the velocity. Thus, changes in velocity and mass do not have the same effect on kinetic energy. If you increase the mass by a factor of 10 at the same velocity, you increase the kinetic energy by a factor of 10. However, if you increase the velocity by a factor of 10 at the same mass, you increase the kinetic energy by a factor of 100.
What 2 factors effect an object's of kenetic energy?
Kinetic energy is (1/2) x mass x velocity2.Kinetic energy is (1/2) x mass x velocity2.Kinetic energy is (1/2) x mass x velocity2.Kinetic energy is (1/2) x mass x velocity2.
What factors effect potential and kinetic energy?
Use the formula for kinetic energy: KE = (1/2) mv2 (one-half times the mass times speed squared). Clearly, the amount of kinetic energy depends both on the mass and on the speed of the object.
Is kinetic energy of a body in motion equals the product of half its acceleration?
No. Kinetic energy is 1/2 times mass times velocity squared - so as you can see, acceleration doesn't even enter the equation. If it accelerates, the speed will change, though, and so will its kinetic energy.
Which is the best term to use when describing the energy of motion?
The energy that comes from an object's motion is called kinetic energy. The object's kinetic energy can be found by using the equation K=1/2mv2 which means that kinetic energy is equal to one-half of the object's mass multiplied by the square of its speed.
When you have kinetic energy you must have?
When you have kinetic energy, you must have a mass and a velocity since kinetic energy is half the product of the mass and the square of the velocity.
How does the kinetic energy of a body change if its momentum is halved?
Since momentum is proportional to the velocity, half the momentum means half the velocity (and therefore half the speed). And since kinetic energy is proportional to the SQUARE of the speed, half the speed means 1/4 the kinetic energy.
How do you write a program to find the kinetic energy in C?
The equation to find kinetic energy is based on knowing the mass and velocity of the object in question. Specifically, the equation is as follows:KE = ½ mv2In C, this equation can be specified as:v*v*m/2...since it's half of the mass multiplied by the square of the velocity.If you haven't written a C program before, see the related links for a solid C tutorial, or try a Web search for c tutorial. Also included in the related links are pages about kinetic energy formulae.
What has kinetic and potential energy?
A roller coaster is a good example for a place to find both kinetic and potential energy. Before a drop, it has potential energy. At the end of a drop, it has kinetic energy. Half way through the drop, it has kinetic and potential energy at the same time.
When you cut your speed in half you cut your kinetic energy by?
8
What has the greatest amount of kinetic energy?
Kinetic energy = one-half the product of an object's massand the square of its speed.So, the object with the greatest product of (mass) x (speed)2 has the greatest kinetic energy.
How do the mass and speed of an objects affect the kinetic energy?
Kinetic energy is the mass times one half the velocity squared. KE = ½mv².
How do the mass and speed of and object affect the kinetic energy?
Kinetic energy is the mass times one half the velocity squared. KE = ½mv².
What happens to the kinetic energy of a body if its speed is reduced to half?
If the speed of a moving body is reduced to half, its kinetic eneergy is reduced to 1/4 .
What is an average kinetic energy of the particle of a substance?
The term kinetic energy means the energy of motion. It is calculated by multiplying one half of the mass of the moving object by the square of the velocity.
