Need help with kinetic energy calculation

AI Thread Summary
To calculate the kinetic energy of a person falling from a diving board, first determine the potential energy lost when falling 2 meters. The potential energy (PE) lost can be calculated using the formula PE = mass * gravity * height, which results in a loss of 1568 joules for an 80 kg person. This value represents the kinetic energy (KE) after falling 2 meters. To find the velocity upon reaching the surface, use the kinetic energy formula KE = 1/2 * mass * velocity^2 and solve for velocity. Understanding the conservation of energy is crucial in these calculations.
Warren
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Hi

This seems like a helpful community so I thought I could ask you guys for some help.

First of all I need to clarify that English is not my first language so you'll have to excuse me if I make any grammatical or spelling errors.

Ok, here's my question:

I'm am trying to calculate the kinetic energy of a person who is standing on a diving board 8 meters above the surface. He weighs 80kgs.

What is his kinetic energy after falling 2m ?

I think it's 1/2*80*9,8^2 = 3841,6 joule

But the textbook tells me I have the wrong answer

I also have to find out his velocity as he reaches the surface, and I have no clue where to even begin.

Any help would be appreciated, thank you.
 
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You appear to have used the ke equation, without knowing his velocity - where did you get 9'8 from??

This is about conservation of energy.

Calculate how much PE he loses in falling 2m.

This is the ke he has after 2 metres.

For the speed as he hits the water, calculate how much PE he has lost by this point, this gives you the KE. Work backwords to find the velocity.
 
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