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

ID: 586227 • Letter: T

Question

Three objects A, B, and C are moving as shown in the figure below (Figure 1) . Assume that vA = 11.0 m/s , vB = 10.8 m/s , and vC = 2.80 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

part A

Ma = 5 kg Mb = 6 kg Mc = 10 Kg

Part A

only A & C are

X componant of momentum = Ma* Vax + Mc*Vcx = 5*0 + 10*(-2.80) = - 28 kg .m/s

Part B

only A and C.

Y componant of momentum = Ma* Vay + Mc*Vcy = 5*(-11) + 10*(0) = -55 kg .m/s   

Part C

B and C.

X componant of momentum = Mb* Vbx + Mc*Vcx = 6*(10.8*cos 60) + 10*(-2.80) = 4.4 kg .m/s

part D

B and C.

Y componant of momentum = Mb* Vby + Mc*Vcy = 6*(10.8*sin 60) + 10*(0) = 56.1184 kg .m/s

Part E

if all are there

X componant of momentum = Ma* Vax + Mb*Vbx + Mc*Vcx

= 5*(0) + 6*10.8*cos60 + 10*(-2.80) = 4.4 kg.m/s

part F

if all are there

y componant of momentum = Ma* Vay + Mb*Vby + Mc*Vcy

= 5*(-11) + 6*10.8*sin 60 + 10*(0) = 1.1184 kg.m/s

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