A 1kg projectile is fired at 10m/s from a 10kg launcher. The momenta of the projectile and the launcher have the same magnitude, but opposite directions.
Show that the KE of the projectile is 10 times gerater that the KE of the recoiling launcher.
KE = 1/2mv^2?
do you add the 2 masses together?
3 answers
I think I got it... you do two separate calculations, one w/ each mass
M1 V1 = M2 V2 = P (momentum of each)
KE1 = (1/2)M1V1^1 = (1/2)P^2/M1
KE2 = (1/2)M2V2^2 = (1/2)P^2/M2
KE1/KE2 = M2/M1
KE1 = (1/2)M1V1^1 = (1/2)P^2/M1
KE2 = (1/2)M2V2^2 = (1/2)P^2/M2
KE1/KE2 = M2/M1
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