how to calculate kinetic energy with mass and velocity?
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In classical mechanics, kinetic energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2.
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is the speed (or the velocity) of the body. In SI units, mass is measured in kilograms, speed in metres per second, and the resulting kinetic energy is in joules. Since the kinetic energy increases with the square of the speed, an object doubling its speed has four times as much kinetic energy.
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['the formula is.', 's = ut + 0.5 at^2.', 'where s is the distance, u is the initial velocity (speed is the magnitude of velocity), a is the acceleration and t is the time.', 'Put all the values in the above formula and you will get an equation for t. ... ', 'You can also solve these two equations:']
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KE = 1/2 * m * v^2 and p = mv. We can manipulate the KE formula to show where momentum is in it. In words we can say that the kinetic energy of a body is equal to the product of its momentum and one-half of its velocity.
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['For example: An object accelerating east at 10 meters (32.8 ft) per second squared traveled for 12 seconds reaching a final velocity of 200 meters (656.2 ft) per second. ... ', 'Multiply the acceleration and time. ... ', 'Subtract the product from the final velocity. ... ', 'Write your answer correctly.']
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Relation between momentum and kinetic energy. Note that if a massive particle and a light particle have the same momentum, the light one will have a lot more kinetic energy. If a light particle and a heavy one have the same velocity, the heavy one has more kinetic energy.
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Final kinetic energy KE = 1/2 m1v'12 + 1/2 m2v'22 = joules. For ordinary objects, the final kinetic energy will be less than the initial value.
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The kinetic energy of a system is equal to half of the mass times the velocity squared or E = ½ mv^(2).
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The equation is F = ma, where F stands for force, m is mass, and a is the acceleration. Because of the link between velocity and acceleration, you can also write this as force = mass × the rate of change of velocity. However, acceleration is the key characteristic here, not velocity.
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['Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.', 'Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.', '½ × base × height.', '½ × 4 × 8 = 16 m 2', '(10 – 4) × 8 = 48 m 2']
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Lesson Summary Gravitational potential energy changes into kinetic energy. The equation for gravitational potential energy is GPE = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 on Earth), and h is the height above the ground in meters.
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To calculate velocity, you divide your distance traveled by the time it took to travel that distance and you add your direction to it.
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Some people think momentum and kinetic energy are the same. They are both related to an object's velocity (or speed) and mass, but momentum is a vector quantity that describes the amount of mass in motion. Kinetic energy is a measure of an object's energy from motion, and is a scalar.
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['Rotational kinetic energy can be expressed as: Erotational=12Iω2 E rotational = 1 2 I ω 2 where ω is the angular velocity and I is the moment of inertia around the axis of rotation.', 'The mechanical work applied during rotation is the torque times the rotation angle: W=τθ W = τ θ .']
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The kinetic energy of a “massive” object with mass m is KE = mv²/2 or expressed in its general form as E = ∆p*v/2. It means: the kinetic energy of an object is the product of the momentum change and the average rate of this change.
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The kinetic energy attained by the object of mass 1kg at 1m/s is 0.5joules. Thus, 0.5 J is the energy required by the mass to move at 1m/d considering there is no loss in conversion of energy from one form to another.
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The equation used to calculate the kinetic energy is KE = 2 mv2 .