Problem 8.03 Part A Three objects A, B, and C are moving as shown in the figure

Question

Problem 8.03 Part A Three objects A, B, and C are moving as shown in the figure below (Figure 1) . Assume that UA = 10.2 m/s, UB = 9.20 m/s and UC = 3.80 m/s Find the z component of the net momentum of the particles if we define the system to consist of A and C. kg -m/s Submit My Answers Give Up Part B Find the y component of the net momentum of the particles if we define the system to consist of A and C. kg -m/s 1 of 1 Submit My Answers Give Up Part C Find the z component of the net momentum of the particles if we define the system to consist of B and C. 5.0kg R60 6.0 kg 10.0 kg kg -m/s Submit My Answers Give Up

Explanation / Answer

Writing the velocities in vector form:
vA = 0 i - 10.2 j m/s
vB = 9.2*cos(60) i + 9.2*sin(60) j m/s
vC = - 3.80 i + 0 j m/s

mA = 5 kg
mB = 6 kg
mC = 10 kg

1)

p_x = mA*vA_x + mC*vC_x

BTW, x-components are i and y-components are j... standard vector form
p_x = 5kg*0 + 10 kg * -3.8 m/s
p_x = -38 kg*m/s

2)

p_y = mA*vA_y + mC*vC_y
p_y = 5 kg * -10.2 m/s + 10 kg * 0
p_y = - 51 kg * m/s

3) p_x = - 38 kg m/s

4) p_y = 52 kg m/s

5) p_y is approximately 0 kg m/s

Note: The negative momentum just means that the velocity is in the opposite direction of +x or +y

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