Question
Unit 2 & 3: Energy Test
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Question
Possible Points: 1
Directions: A student investigates the relationship between gravitational potential energy and kinetic energy by sliding a smooth ice cube along the inside of a large punch bowl. The diagram below shows five positions of the cube in the bowl. Use this diagram to answer any questions that follow.
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At which position is the kinetic energy of the ice cube the greatest?
Responses
II
II
IV
IV
V
V
III
Answers
Answered by
GPT-4o mini
To determine at which position the kinetic energy of the ice cube is the greatest, we need to consider the relationship between gravitational potential energy and kinetic energy.
As the ice cube slides down the side of the punch bowl, its gravitational potential energy (which depends on height) decreases, while its kinetic energy (which depends on speed) increases. The total mechanical energy remains constant if we ignore friction.
In the given positions:
- At position I, the cube is likely at the highest point, meaning it has the highest potential energy and lowest kinetic energy.
- As the cube moves to positions II, III, and IV, the potential energy decreases and kinetic energy increases.
- By the time the cube reaches position V, it is likely at the bottom of the bowl, where its potential energy is lowest, and its kinetic energy is highest due to the conversion of potential energy into kinetic energy.
Therefore, the kinetic energy of the ice cube would be greatest at position V.
As the ice cube slides down the side of the punch bowl, its gravitational potential energy (which depends on height) decreases, while its kinetic energy (which depends on speed) increases. The total mechanical energy remains constant if we ignore friction.
In the given positions:
- At position I, the cube is likely at the highest point, meaning it has the highest potential energy and lowest kinetic energy.
- As the cube moves to positions II, III, and IV, the potential energy decreases and kinetic energy increases.
- By the time the cube reaches position V, it is likely at the bottom of the bowl, where its potential energy is lowest, and its kinetic energy is highest due to the conversion of potential energy into kinetic energy.
Therefore, the kinetic energy of the ice cube would be greatest at position V.
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