if the velocity and mass of an object is twice the velocity and mass of another object then how much will be the ratio of their kinetic energies.
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if the velocity and mass of an object is twice the velocity and mass of another object then how much will be the ratio of their kinetic energies.
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Answer:
2:1
Explanation:
The kinetic energy of an object is given by the formula:
KE = 0.5 * mass * velocity^2
If the velocity and mass of one object are both twice that of another object, we can compare their kinetic energies using this formula.
Let's call the mass of the first object M1, the mass of the second object M2, the velocity of the first object V1, and the velocity of the second object V2.
For the first object:
Mass M1' = 2M2 (twice the mass of the second object)
Velocity V1' = 2V2 (twice the velocity of the second object)
Now, let's calculate the kinetic energies:
KE1 = 0.5 * M1' * V1'^2
KE2 = 0.5 * M2 * V2^2
Substituting the values:
KE1 = 0.5 * (2M2) * (2V2)^2 = 2 * 2 * 0.5 * M2 * V2^2 = 2 * KE2
So, the ratio of their kinetic energies will be 2:1. The first object will have twice the kinetic energy of the second object.