Find the x component of the net momentum of the particles if we define the syste

Question

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

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

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

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

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

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

Explanation / Answer

(1) If we consider the system as A and C then
the net momentum in X direction = mCVC
where mc is the mass of the object C and Vc is the velocity of the object C, since the direction of the velocity of object c is toward -X direction therefore it would be -2.2
so momentum will be = 10*(-2.2) = -22 kgm/s
Net momentum in Y direction = mAVA = 5*10.8 = -54 kg-m/s
(2) For system B and C
Net momentum in x direction
For this we have to resolve the velocity of the object B into x and y components
VBX = VBCos60 = 4.6 m/s
VBY = VBSin60 = 7.967 m/s
Momentum in x direction = mBVBX + mCVC = (6*4.6) + (10*(-2.2)) = 5.6 kg-m/s
Momentum in Y direction = mBVBY = 6*7.967 = 47.802 kg-m/s
(3) When we consider all the three objects
Net momentum in X direction = mBVBX + mCVC = 5.6 kg-m/s
Net momentum in the y direction = mAVA  + mBVBY = -6.198 kg-m/s

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