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Mathematics 9 Online
zarkam21:

help

zarkam21:

1 attachment
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?

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

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?

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

Vocaloid:

yes

zarkam21:

and then divide 60?

Vocaloid:

yes

zarkam21:

that leaves us with v^2 and i would square root that:

Vocaloid:

yes

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

zarkam21:

44.3 maybe

Vocaloid:

good, 44.3 m/s = your answer

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