If two bodies of mass 1kg and 200gm have equal linear momentum.What is the ratio of their Kinetic energies?
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Momentum = mass * velocity
Here the masses are 1kg , 2kg.
If v1,v2 are the velocities then,
1 * v1 = 2 * v2
Hence v1/v2 = 2
Kinetic energy = 1/2 * mass * (velocity)^2
If we take m1, m2 are the masses, then the ratio of kinetic energies,
= (1/2 * m1 * v1^2)/(1/2 * m2 * v2^2)
Now, m1 = 1 kg and m2 = 2 kg.
v1 = 2v2
Hence ratio of kinetic energies = ( 1/2 * 1 * 4v2^2)/1/2 * 2 * v2^2) = 2
Explanation:
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