Question

A heavy crate applied a force of 2,000 N on a 50-m2 piston. What force needs to be exerted on a 1.00 m2 piston to lift the crate?

Answer 1

i beleive: force times surface area should equal

or is it force/sa ?

Answer 2

at any rate, there is a ration of Fa/Fb equal to the ratio of the surface areas

Answer 3

So How would I go about solving it? And strangely (or sadly) enough I wasn't given a formula!

Answer 4

its similar in thinking to a seesaw; the fat kids have to sit closer to balance out the skinny kid at the end

Answer 5

f1/f2 = sa1/sa2

Answer 6

you know f1 sa1 and sa2

Answer 7

I think I do but I forgot what
fl sal and sa2 stand for

Answer 8

f for force, sa for surface area ...

Answer 9

OK So to solve for the question A heavy crate applied a force of 2,000 N on a 50-m2 piston. What force needs to be exerted on a 1.00 m2 piston to lift the crate?

Answer 10

So do I divide 1.00 m2 by 50-m2?

Answer 11

errr times

Answer 12

\[\frac{F_1}{SA_1}=\frac{F_2}{SA_2}\]
\[F_1\frac{SA_2}{SA_1}=F_2\]

Answer 13

2000*1/50

Answer 14

OH OK!

Answer 15

One second

Answer 16

A heavy crate applied a force of 2,000 N on a 50-m2 piston. What force needs to be exerted on a 1.00 m2 piston to lift the crate?
So..
2,000N* 1m2/50m2=40

Answer 17

Right?

Answer 18

yep

Answer 19

What is the unit of 40?

Answer 20

what is: N m^2/m^2 ??

Answer 21

I wish I knew....

Answer 22

Unit's confuse me

Answer 23

I think it's Nm^2

Answer 24

think of them as variables instead

Answer 25

no, if the Force on the left is in Newtons, then the force on the right will be in Newtons ....

Answer 26

So That means it is
N?

Answer 27

but regardless of the fact ..

N m^2/m^2 , anything divided by itself is equal to 1

N*1 = N

Answer 28

Because the m^2 cancel each other out

Answer 29

So my final answer should be
40N?

Answer 30

thats what all the parts togheter form ... yes. assuming i recall this material correctly :)

Answer 31

Thanks @amistre64 :D

Answer 32

youre welcome