Three objects A , B , and C are moving as shown in the figure below (Figure 1) .

Question

Three objects A, B, and C are moving as shown in the figure below (Figure 1) . Assume that vA = 10.6 m/s , vB= 9.80 m/s , and vC = 3.80 m/s .

A)

Find the x component of the net momentum of the particles if we define the system to consist of A and C.

B)

Find the y component of the net momentum of the particles if we define the system to consist of A and C.

C)

Find the x component of the net momentum of the particles if we define the system to consist of B and C.

D)

Find the y component of the net momentum of the particles if we define the system to consist of B and C.

E)

Find the x component of the net momentum of the particles if we define the system to consist of all three objects.

F)

Find the y component of the net momentum of the particles if we define the system to consist of all three objects.

Explanation / Answer

vA = 10.6 m/s ; vB = 9.8 m/s ; vC = 3.8 m/s

A)In vector form

vA = 0i - 10.6 j

vB = 9.8 x cos60 i + 9.8 x sin60 j = 4.9 i + 8.5 j

vC = -3.8 i + 0 j

Px = Ma vAx + Mc vCx

Px = 5 (0 i ) + 10 (-3.8) = -38 kg-m/s

Hence, Px = -38 kg-m/s

B)Py = Ma vAy + Mc vCy

Py = 5 (-10.6) + 10 (0 ) = -53 kg-m/s

Hence, Py = -53 kg-m/s

C)Px = Mb vBx + Mc vCx

Px = 6 (4.9) + 10(-3.8) = -8.6 kg-m/s

Px = -8.6 kg-m/s

D)Py = Mb vBy + Mc VCy

Py = 6 x 8.5 + 10 x 0 = 51 kg-m/s

Hence, Py = 51 kg-m/s

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