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How is your kinetic energy related to your speed?
Kinetic Energy is proportional to the square of the velocity. If the velocity is doubled, the KE is 4 times as much.
I don't remember ever seeing the KE formula derived. I derived it from motion and work equations.
1) Work input = Force * distance
Work input causes increase in KE
Force * distance = increase in KE
If the object is at rest initially,
2) Work input = Force * distance = KE
3) Force * distance = KE
Force = mass * acceleration
4) F = m*a
Acceleration = (Vf - Vi) ÷ time, Vi = 0,Vf = V
5) a = V ÷ t
Substituting V ÷ t for a
6) F = m*( V ÷ t)
Distance = Average velocity * time
7) Average velocity = (Vi + Vf) ÷ 2, Vi = initial velocity, Vf =final velocity
If the object is at rest initially, Vi = 0, Vf is the velocity at specific time.
8) Average velocity = V ÷ 2
9) Distance = (V ÷ 2) * time
10)Force * distance = KE
……………….From Eq.#6………..From Eq#9
11) F = m*( V ÷ t)…… Distance = (V ÷ 2) * t
12)Force * distance = m*( V ÷ t) * (V ÷ 2) * t
Be careful of numerators and denominators. What is divided by what!
13)Force * distance = (M * V^2) Substituting from Eq #2 reversed, Work input = Force * distance
14)Work input = (M * V^2) ÷ 2
15) Kinetic Energy = ½ * Mass velocity^2
16)Work input = ½ * Mass velocity^2
There it is, the Kinetic energy formula derived from work and motion equations.
Wiki User
∙ 14y ago
Wiki User
∙ 15y agokinetic energy is calculated by:
1/2*M * V^2 where V is velocity.
Speed is the scaler component of velocity.
Wiki User
∙ 13y agokinetic enery is the energy in motion and speed is measure on how fast or slow a certain movement.
Wiki User
∙ 10y agoBy the second power ...
in other words, you double the speed and the energy increases by a factor of 4.
Triple itand the energy goes to 9 times.
Wiki User
∙ 10y agoKinetic energy is directly proportional to the square of speed, which means that the greater the speed, the greater the kinetic energy.
Wiki User
∙ 14y agoKinetic energy of an object whose mass is 'M' is
[ 1/2 ] [ M ] [ object's SPEED ]2
Phoebe Hollenbeck
How are kinetic energy and speed related?
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Kinetic energy is related to an objects?
Kinetic energy is the energy of movement. It is related to an object's mass, and to its speed.
What is the relationship between energy and the speed?
The kinetic energy of an object is proportional to the square of its velocity (speed). In other words, If there is a twofold increase in speed, the kinetic energy will increase by a factor of four. If there is a threefold increase in speed, the kinetic energy will increase by a factor of nine.
Is a race-car traveling at its maximum speed potential or kinetic energy?
A car is not energy; it may have energy. The energy related to movement is called kinetic energy.
The energy an object has because of its motion is called potential energy?
No. Energy related to motion is called kinetic energy; energy related to position is called potential energy.No. Energy related to motion is called kinetic energy; energy related to position is called potential energy.No. Energy related to motion is called kinetic energy; energy related to position is called potential energy.No. Energy related to motion is called kinetic energy; energy related to position is called potential energy.
What is the relationship between speed and kinetic energy?
The kinetic energy of an object is proportional to the square of its velocity (speed). In other words, If there is a twofold increase in speed, the kinetic energy will increase by a factor of four. If there is a threefold increase in speed, the kinetic energy will increase by a factor of nine.
Kinetic energy is related to an objects?
Kinetic energy is the energy of movement. It is related to an object's mass, and to its speed.
What is the relationship between energy and the speed?
The kinetic energy of an object is proportional to the square of its velocity (speed). In other words, If there is a twofold increase in speed, the kinetic energy will increase by a factor of four. If there is a threefold increase in speed, the kinetic energy will increase by a factor of nine.
Is a race-car traveling at its maximum speed potential or kinetic energy?
A car is not energy; it may have energy. The energy related to movement is called kinetic energy.
How does kinetic energy affect speed?
The kinetic energy of an object is proportional to the square of its speed.
How does the speed of particle affect its kinetic energy?
The higher the speed the more the kinetic energy.
How is the speed or veloocity related to object kinetic energy?
Kinetic Energy = (1/2) x mass x speed squared
The energy an object has because of its motion is called potential energy?
No. Energy related to motion is called kinetic energy; energy related to position is called potential energy.No. Energy related to motion is called kinetic energy; energy related to position is called potential energy.No. Energy related to motion is called kinetic energy; energy related to position is called potential energy.No. Energy related to motion is called kinetic energy; energy related to position is called potential energy.
What is the relationship between speed and kinetic energy?
The kinetic energy of an object is proportional to the square of its velocity (speed). In other words, If there is a twofold increase in speed, the kinetic energy will increase by a factor of four. If there is a threefold increase in speed, the kinetic energy will increase by a factor of nine.
How does mass and speed effect kinetic energy?
Kinetic Energy is 1/2 mass x the square of speed (KE = 1/2 mv^2)
What will happened to the ke if its velocity is reduced by 12 times?
Kinetic energy is proportional to the square of the speed. If you reduce the speed by a factor of 12, the kinetic energy will reduce by a factor of 12 x 12 = 144.Kinetic energy is proportional to the square of the speed. If you reduce the speed by a factor of 12, the kinetic energy will reduce by a factor of 12 x 12 = 144.Kinetic energy is proportional to the square of the speed. If you reduce the speed by a factor of 12, the kinetic energy will reduce by a factor of 12 x 12 = 144.Kinetic energy is proportional to the square of the speed. If you reduce the speed by a factor of 12, the kinetic energy will reduce by a factor of 12 x 12 = 144.
Does kinetic energy increase with speed and time?
Time is not a factor, speed is velocity and velocity equates to kinetic energy. E=Mass * Velocity squared.
Why doesnt a frozen puddle have kinetic energy?
"Kinetic energy" is energy related to movement. If there is no movement, there is no kinetic energy.
