Suppose you take
2 answers:
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The mass of ball a is twice the mass of ball b:
This means that the initial potential energy of ball a (
) is twice the potential energy of ball b (
):
When the two balls reach the ground, the potential energy of each ball has converted into kinetic energy (since now their altitude is h=0), because the total mechanical energy of each ball must be conserved. Therefore:
and so the kinetic energy of ball a must be twice the kinetic energy of ball b:
This means that the initial potential energy of ball a (
When the two balls reach the ground, the potential energy of each ball has converted into kinetic energy (since now their altitude is h=0), because the total mechanical energy of each ball must be conserved. Therefore:
and so the kinetic energy of ball a must be twice the kinetic energy of ball b: