A man fires a bullet of mass 100 g at a speed of 75 ms–1. The gun is of 3 kg mass. What is the recoil velocity of the gun?
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mathslover (mathslover):
@Callisto and @hartnn @Xishem
mathslover (mathslover):
oh k so I did like this:
given \(m_1\) = 0.1 kg. and \(m_2 \) = 3 kg.
u = \(75 ms^{-1}\)
recoil velocity = v
0 = 0.1 * 75 +3 v
0 = 7.5 + 3v
-3v = 7.5
v = \(\frac{7.5}{3}=\frac{75}{30}=\frac{15}{6}=2.5 ms^{-1}\)
mathslover (mathslover):
hence recoil velocity = 2.5 \(ms^{-1}\)
mathslover (mathslover):
M i right?
if yes then why does the book says the answer as "0.25 m/s" ?
OpenStudy (anonymous):
yea~
using the momentum equation
m1v1=m2v2
so 0.1(75)=3v2
v2=7.5/3
=2.5 m/s
probably the answer is wrong ;)
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OpenStudy (ghazi):
yes you're right
OpenStudy (ghazi):
just use conservation of momentum...momentum is not conserved ideally though
mathslover (mathslover):
hmn so the book is wrong?
OpenStudy (ghazi):
for sure..coz i can't see any fault in this calculation...what does your book say?
mathslover (mathslover):
0.25 m/s
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OpenStudy (anonymous):
@mathslover your answer is correct.
OpenStudy (ghazi):
nope it will be 2.5
mathslover (mathslover):
thanks a lot all : @ghazi @Kystal @sami-21
OpenStudy (ghazi):
:) YW
OpenStudy (anonymous):
V = -mv/M
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OpenStudy (anonymous):
= -0.1*75/3 = -2.5m/s
OpenStudy (anonymous):
-ve sign rep the velocity is the opp direction..))