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Nuingaer
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Homework Statement
If a 15kg object is released from a height of 11.58m and the objects loss in energy is 302 J, determine its velocity as it enters the container (object is being dropped straight down into a container)
Assume g = 9.8m/s^2
m(object) = 15kg = w(object) = 147N
s = 11.58m
ΔE = -320 J
Homework Equations
Had no idea. But the ones i know that i thought could apply:
ΔKE = KE(final) - KE(initial)
KE = 1/2 * mv^2
GPE = mgh
v^2 = u^2 + 2as
The Attempt at a Solution
Okay, I had no idea how to do this, but i tried to work out as many things as i can then mash em together to get an answer :p
GPE = mgh
=15*9.8*11.58
=1702.26
Then i thought; well if the loss in energy is 320 J then i could take that from the original GPE
1702.26 - 320 = 1382.26 J
and now i could work out the new height by subbing it back in
1382.26 = 15*9.8*h
h=9.403m
And here is where it gets iffy... they say the velocity when it enters the container, but the container isn't at 9.403m its at 0...right? that's what i got from the question anyway. Therefore how did they only lose 320N? So I assumed that I could say its KINETIC energy is the 1382.26 J, and the height of the container is the difference because they say when it "enters".
Therefore..
KE = 1/2 * m * v^2
1382.26 = 1/2 * 15 * v^2
2764.52 = 15 * v^2
v^2 = 184.30
v = 13.58 m/s
We don't have the answer to this question yet, but *a lot* of other people got 13.66m/s as the answer... so since i had no idea how to do this question and no basis to support whether I am right or not, could someone help me out and either point out where i went wrong or if I'm right? thank you!
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