# Help with conservation of Mechanical Energy

1. Dec 10, 2008

### austin1250

Alright I have a few problems here.

1). A bird is flying with a speed of 18 m/s over water when it accidentally drops a 2 kg fish. If the altitude of the bird is 5.40 meters and friction is disregarded, what is the speed of the fish when it hits the water?

My work: I don't know if I did this one right so if you could check that would be great.
I did PE= (2kg)(9.81m/s^2)(5.4m) = 106 PE
So I made KE at the point of the water 106 KE and 0 PE (potential energy.)

Then I did 106 = 1/2 * 2kg * v^2
I got it to equal v = 10.29 m/s is that correct?

2) A 755N Diver drops from a 10 m boarding above the waters surface. Find the divers speed 5 meters above the water. Then find the diver's speed just before it hits the water.

ok here i got 9.9 m/s for the part 5 meters above water is that correct? and then I got 14 m/s when striking the water?

(Part B) If the same diver leaves the board with initial upward speed of 2.0 m/s find the divers speed when striking the water.

I worked it out until here now I dont know what to do next

3) An Olympic runner leaps over a hurdle. If the runners initial vertical speed is 2.2 m/s how much will the runners center mass be raised during the jump?

Work: im not really sure what to do here but is the answer .5 meters up?
I don't know if this is a correct equation, but I did V^2 = mgh

4) A pendulum bob is released from some initial height such that the speed of the bob at the bottom of the swing is 1.9 m/s. what is the initial height of the bob?

Ok here i don't know what to do really. I think it goes along the lines of one above, but im not sure if that was right either.

2. Dec 10, 2008

### mukundpa

Q1 No, Whether before dropped the fish was moving ? If yes was it having kinetic energy ?

3. Feb 8, 2009

### raine claire

will someone show me that Joule/Kilogram is equivalent to meter/second? and how can I compute the highest and lowest KE and PE there are no mass, and velociy given?

4. Feb 8, 2009

### LowlyPion

Welcome to PF.
A joule = kg - m²/s²
http://en.wikipedia.org/wiki/Joule

Take away kg and you have m²/s² not m/s.

As to the highest and lowest KE and PE, what is the problem you are trying to solve?

5. Dec 7, 2009

### LMChing10

Question 1 is incorrect because you set the KEi as 0 when it is actually 324 J.. Okay, so you know that KEi= (1/2)mvi2.. so KEi= (1/2)(2 kg)(182) giving you 324 J.. & due to the law of conservation of energy, energy can be neither created or destroyed so the initial mechanical energy is equal to the final mechanical energy. Subsitute so you know that PEi + KEi = PEf + KEf.. Now subsitute the information you have in... 105.948 + 324 = 0 + (1/2)(2)vf2.. the final answer is 20.73518748 m/s

Question 2 is correct!

Hope that helped!

Last edited: Dec 7, 2009
6. Dec 30, 2010

### IRosas

On Q5, set KE=PE
1/2mv^2=mgh
The masses on both sides cancel out
1/2v^2=gh