For each case in the figure below, the system consists of the masses shown with
ID: 1347000 • Letter: F
Question
For each case in the figure below, the system consists of the masses shown with the indicated velocities.
a. Find the x- and y-components of the net momentum of system (a). Assume that v = 41 m/s .
b.Find the
x- and y-components of the net momentum of system (b). Assume that v1 = 2.8 m/s and v2 = 4.8 m/s .
c. Find the x- and y-components of the net momentum of system (c). Assume that v1 = 4.2 m/s and v2 = 17 m/s .
d. Find the
x- and y-components of the net momentum of system (d). Assume that v1 = 5.6 m/s and v2 = 5.6 m/s .
Explanation / Answer
part a )
Px = mv cos60 = 8*41 cos60 = 164 kg m/s
Py = mv sin 60 = 8 * 41 * sin 60 = 284.056 kg m/s
part b )
v1 has only y component
Py = 9 * 2.8 = 25. 2kg m/s
v2 has negative x componet
Px = 6 * -4.8 = -28.8 m/s
part c )
in x direction only v2 has component
Px = 8 * 17 * cos 72 = 42.03 kg . m/s
in y direction v1 has -y compont
Py = 8 * 17 * sin 72 - 6 * 4.2 = 104.14 kg m/s
part d )
px = 8* -5.6 *sin35 + 10* 5.6* sin35 = 6.42 kg m/s
py = 8* -5.6 *cos35 + 10 *-5.6 * cos35 = -82.57 kg m/s
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