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Mathematics 21 Online
OpenStudy (18jonea):

A ball with a mass of 2.3 kg is thrown into the air. If the ball rises to a maximum height of 15 m before stopping and coming back down, how much kinetic energy did the ball have initially?

OpenStudy (18jonea):

@harman.singh

OpenStudy (18jonea):

i just want a formula so i can calculate

OpenStudy (harman.singh):

KE=0.5*m*v^2

OpenStudy (sooobored):

well the formula is given in there if you bothered to read through the entire thing cliffnotes version the total energy of the system is composed of potential energy and kinetic energy TE= KE +PE

OpenStudy (18jonea):

what is v

OpenStudy (sooobored):

velocity

OpenStudy (sooobored):

also, that equation is unnecessary for this problem

OpenStudy (harman.singh):

If you are asking for explanation, v is the velocity of the ball at a given point

OpenStudy (18jonea):

but i am not given a velocity

OpenStudy (sooobored):

you dont need to know velocity

OpenStudy (harman.singh):

I agree with sooobored. You can use the equation they have given you to find the energy

OpenStudy (sooobored):

AS I WAS SAYING kinetic energy is associated with velocity of an object potential energy is associated with height of the object or displacement of a spring. the latter is unnecessay since there is no spring in this problem

OpenStudy (18jonea):

would it be 34.5 j

OpenStudy (sooobored):

the gravitational potential energy of an object is represented as PE= mgh where m is the mass g is the gravitational constant 9.81m/s^2 h is the height of the object

OpenStudy (sooobored):

we know that at the peak of the objects trajectory(which we consider state 2), it has no speed hence KE=0 but has a whole lot of PE since it is 15m off the ground

OpenStudy (18jonea):

338.1 is the pe

OpenStudy (sooobored):

We know that at the moment we're about to toss the object up into the air, it has a whole lot of kinetic energy and we assume it has no gravitational potential energy so the total energy of state 1 would be just be KE

OpenStudy (18jonea):

518 J 340 J 52 J 34.5 J these are my options

OpenStudy (sooobored):

now the total energy of systems doesnt change due to conservation of energy so KE1 = PE2

OpenStudy (sooobored):

since PE1 =0 and KE2=0

OpenStudy (sooobored):

since we want to find KE1 and we know PE2= mgh then KE1=mgh

OpenStudy (18jonea):

338.1

OpenStudy (sooobored):

guessing the answer doesnt help if you dont know the overall process

OpenStudy (18jonea):

2.3 x 9.8 x 15

OpenStudy (sooobored):

yes

OpenStudy (18jonea):

ok but that isnt any of my choices

OpenStudy (harman.singh):

After round off, that should become 340J

OpenStudy (sooobored):

some people use g=10 m/s^2

OpenStudy (18jonea):

ok i have a true or false could yall help me

OpenStudy (sooobored):

make another question and ask it there

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