If a monkey drops a banana off of a cliff, where are the potential and kinetic energies of the banana equal. (1 point)
• at the top
• at the bottom
• half way down a quarter of the way down
The potential energy of an object is greatest at the top of its fall, while the kinetic energy is greatest at the bottom. Therefore, the potential and kinetic energies of the banana are equal at the bottom of the cliff. So the answer is "at the bottom".
The potential energy of an object is highest when it is at the top of its motion, and it decreases as it falls. On the other hand, the kinetic energy of an object is zero at the top, and it increases as it falls. Therefore, the potential and kinetic energies of the banana are equal at the bottom.
To determine where the potential and kinetic energies of the banana are equal, we need to understand the principles of potential and kinetic energy.
Potential energy is the energy an object possesses due to its position or condition. In the case of a banana dropped off a cliff, potential energy is highest at the highest point of the cliff (top) because it has the greatest distance to fall.
Kinetic energy is the energy an object possesses due to its motion. As the banana falls, its potential energy converts into kinetic energy, causing its speed to increase. Kinetic energy is highest at the lowest point (bottom) of the fall, as the banana is at its maximum speed.
Therefore, the potential energy of the banana is highest at the top of the cliff, and the kinetic energy is highest at the bottom of the fall. Since potential and kinetic energies are changing continuously during the fall, there is no point where they are exactly equal.
So, the answer to the question is: none of the given options. The potential and kinetic energies of the banana are never equal during its fall.