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nikkii128
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This is more of a general question, but it relates to a school assignment...
So I am trying to find a mathematical relationship between tension in a spring and the firing range of a device that works basically the same way that a slingshot does.
The setup is basically just two springs on each side a guide and when pulled back and released they propel the object (placed where they join) through the guide.
So far I've got:
PE(in a spring) = (1/2).k.x2
KE=(1/2).m.v2
and just said that ideally, all PE (from both springs) would be converted to KE when the object is propelled.
(btw, x is distance springs are drawn back, m is mass of object propelled, v is velocity and k is the spring force constant)
so I equated them and ended up with:
v2 = C.k
where C is a constant of (x2)/m
and then range of projectile motion is:
R=[v2.sin(2.theta)]/g
and by subtituting v2 from before, i just get
R=ak
where a is just another constant
so to my actual question... does the variable k constitute 'tension in a spring' or is there some other equation I should know about that has the proper variable?
also, were there any errors in my calculations/understanding?
thankyou! :)
So I am trying to find a mathematical relationship between tension in a spring and the firing range of a device that works basically the same way that a slingshot does.
The setup is basically just two springs on each side a guide and when pulled back and released they propel the object (placed where they join) through the guide.
So far I've got:
PE(in a spring) = (1/2).k.x2
KE=(1/2).m.v2
and just said that ideally, all PE (from both springs) would be converted to KE when the object is propelled.
(btw, x is distance springs are drawn back, m is mass of object propelled, v is velocity and k is the spring force constant)
so I equated them and ended up with:
v2 = C.k
where C is a constant of (x2)/m
and then range of projectile motion is:
R=[v2.sin(2.theta)]/g
and by subtituting v2 from before, i just get
R=ak
where a is just another constant
so to my actual question... does the variable k constitute 'tension in a spring' or is there some other equation I should know about that has the proper variable?
also, were there any errors in my calculations/understanding?
thankyou! :)
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