How Does the Work-Kinetic Energy Theorem Apply to a Diving Scenario?

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Homework Help Overview

The discussion revolves around the application of the work-kinetic energy theorem in a diving scenario, where a high diver jumps from a platform and enters the water. The problem involves calculating the change in kinetic energy and the average force exerted by the water on the diver.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore the change in kinetic energy as the diver enters the water and question how to calculate it. There is an attempt to relate gravitational potential energy to kinetic energy. Some participants seek clarification on how to approach the second part of the problem regarding the average force of the water.

Discussion Status

The discussion is ongoing, with some participants providing insights into the kinetic energy at the moment of impact with the water. There is a focus on understanding the application of the work-energy theorem, particularly in determining the average force exerted by the water.

Contextual Notes

Participants express uncertainty about the correct approach to the calculations and the interpretation of the problem requirements. There is a mention of needing to consider other forces acting on the diver during the interaction with the water.

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Homework Statement


A high diver(m = 62kg) walks off a platform 15 meters above the water below (assume velocity inital = 0). The diver reaches a depth of 2.2 metres in the pool before coming to a stop.
1. What is the diver's change in kinetic energy (Answer: -9114J)
2. What is the average force of the water pushing up on her? (Answer: 4750 N ... the acceleration corresponds to a about 8 g's)

I don't get the correct answer to the first question and I don' know how to attempt the second question. Please help and please show me the steps.

Homework Equations


Work Energy Theorem

The Attempt at a Solution


1. Change in GPE = Change in KE
mgh = change in KE
(62kg)(9.8)(17.2m(
change in KE = 10450.72, which is the wrong answer.
 
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master_333 said:
1. What is the diver's change in kinetic energy
I presume they want the change in KE once she hits the water. So what is her KE when she hits the water?
 
Doc Al said:
I presume they want the change in KE once she hits the water. So what is her KE when she hits the water?
The KE when she hits the water is 9114J
 
master_333 said:
The KE when she hits the water is 9114J
There you go. So you can answer part 1 now, correct?
 
How do I sart part 2
 
master_333 said:
How do I sart part 2
Sorry, How do I start part 2
 
master_333 said:
Sorry, How do I start part 2
By applying the work energy theorem.

Remember, you are trying to find the average force that the water exerts. What other force acts?
 

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