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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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