This calculator will find the missing variable in the physics equation for Kinetic Energy of a rigid body, when two of the variables are known.
$$ KE = \dfrac{1}{2}mv^2 $$
Where:
- KE = kinetic energy
- m = mass of a body
- v = velocity of a body
Kinetic Energy
Kinetic Energy is the energy an object has owing to its motion. 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.
We use Joules, kilograms, and meters per second as our defaults, although any appropriate units for mass (grams, ounces, etc.) or velocity (miles per hour, millimeters per second, etc.) could certainly be used as well - the calculation is the same regardless.
References/ Further Reading
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Answer
Hint: Velocity is defined as the rate of change of position of an object with respect to time. And the velocity is also defined as the amount of distance travelled by an object in a given amount of time. By using the velocity formula, the solution can be determined.
Complete step by step solution
Hence, the option (C) is correct.
Note: The velocity of the object is doubled by changing the acceleration only. If the velocity is doubled its kinetic energy is multiplied by four times. And there is no relationship between the velocity and potential energy. So, if the velocity is doubled, momentum also doubles.