conservation of momentum: initial momentum = final momentum (for the system)
so change in momentum = ?
zarkam21:
1100
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Vocaloid:
that's the mass
change in a physical quantity or state = final - initial
for conserved momentum , final momentum - initial momentum = ?
Vocaloid:
if final momentum = initial momentum
final momentum - initial momentum = ?
Vocaloid:
as a hint this problem can be solved w/o using any of the numbers in the problem
Vocaloid:
if A = B
then B - A = 0 since something minus itself is 0
so final momentum - initial momentum = 0 (C)
since initial and final momentum are equal, there is no change in momentum
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Vocaloid:
final momentum = initial momentum
so simply calculate the total momenta of the two cars, taking into account they're going in opposite directions so their momenta will partly cancel out
zarkam21:
Um C
Vocaloid:
what's the momentum of the car going north?
Vocaloid:
momentum = mv = ?
zarkam21:
39000
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Vocaloid:
good, wb the car going south?
zarkam21:
and then 13500
Vocaloid:
good, and 39000 - 13500 = ?
zarkam21:
B
Vocaloid:
the result is positive, so the net momentum has to be north (D)
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initial momentum of cannon + initial momentum of water balloon = final momentum of cannon + final momentum of water balloon
0 + 8(1) = 5(v) + 0
solve for v
zarkam21:
8/5
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zarkam21:
A
Vocaloid:
since the launcher gets knocked back in the opposite direction of the balloon in needs tobe west (d)
in the beginning there's one puck going 8 m/s east and one puck going 7 m/s west
since the pucks are equal in mass, if one puck is going 7 m/s west, the other puck has to be going 8 m/s east (D) to create the same momenta we had before
Vocaloid:
note: this only works b/c the pucks are equal in mass, otherwise this trick wouldn't work
zarkam21:
Got it
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