# Hw%209 - MasteringPhysics Homework#9 12.5 Model The earth...

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Unformatted text preview: MasteringPhysics Homework #9 12.5. Model: The earth and moon are particles. Choosing x E = 0 m sets the coordinate origin at the center of the earth so that the center of mass location is the distance from the center of the earth. Solve: x cm = m E x E + m M x M m E + m M = 5.98 × 10 24 kg ( ) 0 m ( ) + 7.36 × 10 22 kg ( ) 3.84 × 10 8 m ( ) 5.98 × 10 24 kg + 7.36 × 10 22 kg = 4.67 × 10 6 m Assess: The center of mass of the earth-moon system is called the barycenter, and is located beneath the surface of the earth. Even though x E = 0 m the earth influences the center of mass location because m E is in the denominator of the expression for x cm . 12.7. Visualize: Please refer to Figure EX12.7. The coordinates of the three masses m A , m B , and m C are (0 cm, 10 cm), (10 cm, 10 cm), and (10 cm, 0 cm), respectively. Solve: The coordinates of the center of mass are x cm = m A x A + m B x B + m C x C m A + m B + m C = (200 g)(0 cm) + (300 g)(10 cm) + (100 g)(10 cm) (200 g + 300 g + 100 g) = 6.7 cm y cm = m A y A + m B y B + m C y C m A + m B + m C = (200 g)(10 cm) + (300 g)(10 cm)...
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Hw%209 - MasteringPhysics Homework#9 12.5 Model The earth...

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