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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.
What else can I help you with?
Kinetic energy is related to an objects height true or false?
False. Kinetic energy is related to an object's motion or speed, not its height. Potential energy is related to an object's height, while kinetic energy is related to its motion.
What type of energy is related to the mass and speed of an object?
Kinetic energy is related to the mass and speed of an object. Kinetic energy is the energy an object possesses due to its motion. It is directly proportional to the mass of the object and to the square of 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.
Kinetic energy is related to an objects?
Kinetic energy is related to an object's mass and its velocity. The formula for kinetic energy is KE = 0.5 * mass * velocity^2. This means that kinetic energy increases with both increasing mass and increasing velocity of an object.
How does kinetic energy affect the motion?
Kinetic energy is the energy of an object in motion. As an object's kinetic energy increases, its speed and ability to do work also increase. Kinetic energy is directly related to an object's mass and its velocity.
What form of energy is related to change in speed?
Kinetic energy is related to the change in speed of an object. As an object's speed increases, its kinetic energy also increases, and as its speed decreases, its kinetic energy decreases.
Kinetic energy is related to an objects height true or false?
False. Kinetic energy is related to an object's motion or speed, not its height. Potential energy is related to an object's height, while kinetic energy is related to its motion.
What type of energy is related to the mass and speed of an object?
Kinetic energy is related to the mass and speed of an object. Kinetic energy is the energy an object possesses due to its motion. It is directly proportional to the mass of the object and to the square of 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.
Kinetic energy is related to an objects?
Kinetic energy is related to an object's mass and its velocity. The formula for kinetic energy is KE = 0.5 * mass * velocity^2. This means that kinetic energy increases with both increasing mass and increasing velocity of an object.
How does kinetic energy affect the motion?
Kinetic energy is the energy of an object in motion. As an object's kinetic energy increases, its speed and ability to do work also increase. Kinetic energy is directly related to an object's mass and its velocity.
What has a greater effect on an objects kinetic energy doubling its mass or doubling it's speed?
Doubling the speed of an object has a greater effect on its kinetic energy than doubling its mass. The kinetic energy of an object is proportional to the square of its speed, but only linearly related to its mass. Therefore, an increase in speed will have a greater impact on the object's kinetic energy.
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 energy and speed relate?
The speed of a wave is a property of the medium, changing the speed would need a change in the medium itself. If the medium doesn't change as a wave moves, the wave speed is steady. Formula: Speed = distance divided by time
What is the relationship between energy (potential and kinetic) mass and height?
The potential energy of an object is directly related to its height above the ground, as potential energy increases with height. Kinetic energy is related to mass and speed, with kinetic energy increasing as mass and speed increase. When an object falls due to gravity, potential energy is converted to kinetic energy, with the total energy remaining constant if air resistance is negligible.
Temperature is a measure of the average kinetic energy of what?
Temperature is a measure of the average kinetic energy of the particles in a substance. This kinetic energy is directly related to the speed at which the particles are moving.
Does kinetic energy increase with speed and time?
Kinetic energy increases with speed because kinetic energy is directly proportional to the square of an object's speed. Time does not have a direct effect on kinetic energy, as kinetic energy depends on an object's mass and speed but not its duration of movement.
