Download - SisTem pArtikel
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SISTEM PARTIKEL
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Pusat Massa Sistem Partikel
PM x
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m1
m2
y1
y2
Y
X
yc
21
2211
mmymymyc
Bagaimana jika massanya lebih dari dua ?
n
nnc mmm
ymymymy
21
2211
Bagaimana jika massanya tersebar di dalam ruang ?
n
ii
n
iii
m
ym
1
1
M
ymn
iii
1
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M
ymy
n
iii
c
1
M
xmx
n
iii
c
1
M
zmz
n
iii
c
1
kjir ˆˆˆcccc zyx
Mzmymxm iiiiii
ckjirˆˆˆ
Mzyxm iiii
c)ˆˆˆ( kjir
Mm ii
c
rr kjir ˆˆˆiiii zyx
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Gerak Sistem Partikel
dtdm
Mi
ir1
Mm iiv
dtd c
crv Kecepatan :
p = P iic mM vvMomentum :
Percepatan :dt
d cc
va dt
dmM
iiv1
iimM
a1
iic mM aa iF dtdP
0 iF 0dtdP konstan cMvP
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v
M+m
vp )( mMi
M
v+v
m
ve
Kecepatan bahan bakar relatip terhadap roket
v - ve
)()()( emMmM vvvvv
mM e vv
Untuk interval waktu yang sangat pendek :
dmvMdv e
dMdm
Massa bahan bakaryang terbakar
Pengurangan massa roketdMMd evv
f
i
f
i
M
Me MdMd
v
vvv
f
ieif M
Mlnvvv
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Pendekatan Saintifik Guru menyajikan gambar atau video yang
berhubungan dengan konsep sistem partikel.
Guru memberikan siswa pertanyaan berkaitan masalah yang ada pada gambar atupun video pada siswa.
Guru menjelaskan materi mengenai sistem partikel.
Guru menjelaskan jawaban dari pertanyaan awal yang telah dilontarkan mengenai sistem partikel.
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