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

  • Thread starter Thread starter master_333
  • Start date Start date
  • Tags Tags
    Energy Theorem
AI Thread Summary
In a diving scenario, a high diver with a mass of 62 kg falls from a height of 15 meters, reaching a depth of 2.2 meters in the water. The change in kinetic energy when the diver hits the water is calculated to be -9114 J, indicating a loss of energy as she comes to a stop. To find the average force exerted by the water, the work-energy theorem is applied, considering the forces acting on the diver. The average force of the water pushing up on her is determined to be 4750 N, corresponding to an acceleration of about 8 g's. Understanding these calculations is essential for solving similar physics problems.
master_333
Messages
25
Reaction score
0

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.
 
Physics news on Phys.org
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?
 
Back
Top