Mathematics
9 Online
zarkam21:
help
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zarkam21:
Vocaloid:
conservation of energy
Potential energy initial = kinetic energy final
mgh = (1/2)mv^2
solve for v
zarkam21:
mass is 60 right
Vocaloid:
yes
zarkam21:
and 100 is v?
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Vocaloid:
v is the unknown
h is the height
zarkam21:
so mg(100)=(1/2)(60)v^2
Vocaloid:
yes, keep going.
zarkam21:
m is 60 so in mgh it would be (60)g(100) ?
Vocaloid:
yes, keep going
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zarkam21:
now do i just solve
Vocaloid:
yes, solve for v.
zarkam21:
um just divide?
Vocaloid:
try to think about what is being done to v on the right hand side and then do the opposite
zarkam21:
its being squared so i would find the sqrt?
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Vocaloid:
v is:
being multiplied by (1/2)
being multiplied by m
being squared
so do the opposite of these things
Vocaloid:
save the square root for the last step
zarkam21:
so i would divide by 1/2
Vocaloid:
yes
zarkam21:
that would cancel out the 1/2 right
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Vocaloid:
yes
zarkam21:
and then divide 60?
Vocaloid:
yes
zarkam21:
that leaves us with v^2 and i would square root that:
Vocaloid:
yes
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Vocaloid:
now, what does v equal?
zarkam21:
um 50?
Vocaloid:
you're a little off
what value are you using for g?
zarkam21:
9.8
Vocaloid:
mgh = (1/2)mv^2
(60(9.8)(100) = (1/2)(60)v^2
try solving for v
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zarkam21:
44.3 maybe
Vocaloid:
good, 44.3 m/s = your answer