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Mathematics 15 Online
zarkam21:

?

zarkam21:

1 attachment
zarkam21:

1 attachment
Vocaloid:

for i and ii U = gravitational potential energy = mgh substitute the given values and solve for the unknown. make sure to read the problem carefully to see which value is the unknown and which ones are the given

zarkam21:

(330)(9.8)(18.4)

Vocaloid:

good, that's your grav potential energy for i)

zarkam21:

59505.6

Vocaloid:

good (don't forget units)

zarkam21:

J?

Vocaloid:

yes

zarkam21:

okay now for ii the same formula right?

Vocaloid:

yes

zarkam21:

mgh=(330)(100000)(h)

Vocaloid:

g is the gravitational constant not the gravitational potential energy

zarkam21:

is it would just be the total right?

Vocaloid:

yes

zarkam21:

so 100000=330*9.8*h

Vocaloid:

yes

zarkam21:

30.92

Vocaloid:

good for iii) you will simply add the kinetic + potential energy using the formulas U = mgh and K = (1/2)mv^2

zarkam21:

okay so find mgh first aand then k=1/2 etc and then add it together

Vocaloid:

yes

zarkam21:

what is the m in mgh

zarkam21:

1.3?

Vocaloid:

mass.

zarkam21:

yeah i meant which number is the mass

Vocaloid:

it's the same steal beam as before

zarkam21:

because the height is present

zarkam21:

oh .

zarkam21:

64680

Vocaloid:

good, keep going

zarkam21:

is v 1.3?

Vocaloid:

yes

zarkam21:

278.85

Vocaloid:

good, now keep going

zarkam21:

64958.85

Vocaloid:

good, that's your answer

zarkam21:

m/s right?

Vocaloid:

it is asking for total mechanical energy, what are the units of energy?

zarkam21:

J

Vocaloid:

good, so joules for iv) simply find the potential energy at that height

zarkam21:

it would be mgh right?

Vocaloid:

yes

zarkam21:

129,360

Vocaloid:

good, and since the potential energy is equal to the final kinetic energy that's your answer

Vocaloid:

for v) simply set potential energy = kinetic energy and solve for v

zarkam21:

so 129360=

Vocaloid:

= kinetic energy then solve for v

zarkam21:

is it the one we solved in part iii

Vocaloid:

same formula not same value

Vocaloid:

what's the formula for kinetic energy?

zarkam21:

K = (1/2)mv^2

Vocaloid:

good, so set potential = kinetic and solve for v.

zarkam21:

129360=(1/2)mv^2

zarkam21:

v=28?

Vocaloid:

good, 28 m/s = your answer

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