Let's analyze the potential and kinetic energy of the roadrunner and coyote before the coyote begins to fall.
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The potential energy of both are equal.
This statement is not necessarily true. The potential energy of an object depends on its height above the ground (PE = mgh). If the coyote is at a greater height than the roadrunner, then its potential energy will be greater. Conversely, if they are at the same height, their potential energies could be equal, assuming they have the same mass. -
The potential energy of the one with the most mass is greater than the other.
This statement could be true if comparing an object with greater mass that is at the same height as another. Potential energy increases with mass. So, if the coyote has more mass than the roadrunner and is at the same height, then its potential energy would be greater. -
Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
This statement is true. If both the roadrunner and coyote fall from the same height with the same mass and ignoring air resistance, their potential energy would convert into kinetic energy as they fall. Hence, right before impact, their kinetic energy would be equal. -
Weight is the same for both, regardless of mass.
This statement is false. Weight is a measure of the force of gravity on an object and is given by the formula \( W = mg \), where \( m \) is mass and \( g \) is the acceleration due to gravity. Therefore, weight depends on mass; if their masses differ, their weights will also differ.
In conclusion, the correct responses are:
- The potential energy of the one with the most mass is greater than the other.
- Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
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