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 = 11.2m/s , vB = 9.20m/s , and vC = 2.20m/s .

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.

If you could explain it, that would be super helpful!

Three objects A, B, and C are moving as shown in the figure below (Figure 1) . Assume that vA = 11.2m/s , vB = 9.20m/s , and vC = 2.20m/s . 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. If you could explain it, that would be super helpful!

Explanation / Answer

Momentum is defined as = M V  where V is the velocity vector

momentum of A can be written as = 5*(0 i - Va j)=-5Va j

momentum of B can be written as = 6*(Vb cos 60 i - Vb sin 60 j)=3Vb(i - 30.5 j)

momentum of C can be written as = 10*(- Vc i )=-10Vc i

So 1- taking A and C

p net =p A +p C

= -5Va j -10Vc i

so x component=-10Vc i

y component=-5Va j

2-taking B and C as a system

p net =p B +p C

=3Vb(i - 30.5 j) -10Vc i

=3Vb i - 31.5 Vb j - 10 Vc i

=(3Vb -10 Vc) i - 31.5 Vb j

x component=(3Vb -10 Vc)

y component=- 31.5 Vb

3- taking A,B,C

p net =p A+p B+p C

=-5Va j + 3Vb(i - 30.5 j)-10Vc i

=(-3 Vb-10Vc ) i - (5Va + 31.5 Vb ) j

x component=(-3 Vb-10Vc )

y component=- (5Va + 31.5 Vb )

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