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Mathematics 19 Online
OpenStudy (anonymous):

Please help! A 1.5 kg book falls 1.12 m from a table to the floor. (a) How much work did the gravitational force do on it? Answer: Gravitational potential energy = mgh = 1.5(9.81)(1.12) = 16 J [2 sig figs] Is this okay? (b) How much gravitational potential energy did it lose? - I don't know how to answer this question.

OpenStudy (jack1):

a) work = force x distance... you have the rest there, write your answer and I'll tell you if you're right b)PE = mass x gravity x height PE before fall - PE after fall = loss of PE as height after fall = 0 (relatively), just work out PE before fall for your answer

OpenStudy (anonymous):

is my answer for (a) wrong then? i used the GPE formula to find the energy for work done as they have the same SI unit.

OpenStudy (jack1):

what you worked out for a before was the potential energy, not the work done. use that equation for b and you'll be on track though

OpenStudy (anonymous):

I know that work = force x distance but i don't have the force or acceleration that can help me find the force exerted.

OpenStudy (jack1):

damn, gravity is an acceleration, not a force, yep, your completely correct for a, my bad

OpenStudy (anonymous):

thank you =)

OpenStudy (anonymous):

so what about b? =)

OpenStudy (jack1):

work done = delta energy = change in PE in this case so i think your answer should be the same once it come to a rest on the ground...

OpenStudy (anonymous):

i didn't understand your expla?

OpenStudy (anonymous):

*explanation because i'm confused about the fact that GPE is affect by the acceleration due to gravity.

OpenStudy (anonymous):

so, shouldn't the answer for b supposed to be the same as part a?

OpenStudy (jack1):

PE = mass x gravity x height PE before fall - PE after fall = loss of PE as height after fall = 0 (relatively) so the Potential Energy is the energy it would give up in an ideal environment in going from that height to a lower height both work done on an object and energy are measured in Joules

OpenStudy (jack1):

yep, b should equal a

OpenStudy (anonymous):

That really helped. Thank you.

OpenStudy (jack1):

welcome, sorry for the false start

OpenStudy (lalaly):

they are equal but a should be -16

OpenStudy (anonymous):

it's no biggie.

OpenStudy (jack1):

@lalaly actually B should equal -16J, but as the question is posed as "what is the LOSS of PE", i think it's safe to answer both with positive intergers

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