The relationship between the mass and speed/velocity of an object determines its kinetic energy. Kinetic energy is the energy possessed by an object due to its motion. Mathematically, it is calculated using the formula:
Kinetic Energy (K.E.) = (1/2) × mass (m) × velocity^2 (v^2)
From the equation, it can be observed that the kinetic energy is directly proportional to the square of the velocity (v). This means that if the velocity of an object doubles, its kinetic energy will increase by a factor of four (2^2 = 4). Similarly, if the velocity triples, the kinetic energy will increase by a factor of nine (3^2 = 9).
On the other hand, the kinetic energy is directly proportional to the mass (m) of the object. If the mass of an object doubles, its kinetic energy will also double. Therefore, doubling the mass will result in an increase in kinetic energy, while halving the mass will lead to a decrease in kinetic energy.
To summarize, the relationship between mass and speed/velocity with respect to kinetic energy is as follows:
- The kinetic energy is directly proportional to the square of the speed/velocity (K.E. ∝ v^2).
- The kinetic energy is directly proportional to the mass (K.E. ∝ m).
relationship of mass and speed/velocity of kinetic energy
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