A 3.0 g coin moving to the right at 26.0 cm/s makes an elastic head-on colli

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In an elastic head-on collision, a 3.0 g coin moving at 26.0 cm/s collides with a stationary 12.0 g coin, resulting in the 3.0 g coin moving left at 12.5 cm/s. The final velocity of the 12.0 g coin is calculated using conservation of momentum, yielding a result of 9.6 cm/s to the right. To determine the kinetic energy transferred to the 12.0 g coin, the formula 0.5mv^2 is applied, converting units appropriately. The initial attempts at calculating kinetic energy were incorrect due to unit conversion errors. The correct approach involves finding the kinetic energy before and after the collision to assess the energy transferred accurately.
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Homework Statement



A 3.0 g coin moving to the right at 26.0 cm/s makes an elastic head-on collision with a 12.0 g coin that is initially at rest. After the collision, the 3.0 g coin moves to the left at 12.5 cm/s.
(a) Find the final velocity of the other coin.
_____cm/s to the right
(b) Find the amount of kinetic energy transferred to the 12.0 g coin.
_____Joules

Homework Equations



for part a, i know you have to do conversions to get to M and Kg.
for part b, .5mv^2

The Attempt at a Solution



i know that KE of the 2nd coin = (m of second coin)(.5)(Velocity of second coin ^2)

but I'm STUCK on part A!
 
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Use conservation of momentum:

p(initial)=p(final)

p=m*v
 
i found part A, and it's 9.6cm to the right.
but now i am stuck on part B.
no matter what i do, it's not working!

...i tried this:
KE of second coin=(Mass of second coin).5(Velocity of 2nd coin^2)
so it'd look like:
(.12)(.5)(9.6^2)
BUT since it's 9.6 CM/s, to convert it to m/s it would be .096
(.12)(.5)(.096^2)
which is: .00055296


why is it wrong!?
 
Last edited:
What's the answer given in the book? Btw, 12.0 g is 0.012 kg.
 
I'll unmark this as solved since you still seem to be asking questions on it.
 
ok i think this is how u do it
first u need to find kinetic energy before contact and find the kinetic energy of the coin A
and u subtract the original kinetic to the kinetic of coin A u will get the kinetic of coin B
(assumed that the moving coin is A and the resting coin is B)
 
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