Exercise 8.54 A 1200-kg SUV is moving along a straight highway at 12.0 m/s. Anot

Question

Exercise 8.54 A 1200-kg SUV is moving along a straight highway at 12.0 m/s. Another car, with mass 1800 kg and speed 20.0 m/s, has its center of mass 40.0 m ahead of the center of mass of the SUV (Figure 1) Figure 1 of 1 1800 kg 1200 kg 2.0 20.0 m/s 40.0 m Find the position of the center of mass of the system consisting of the two cars. Express your answer using three significant figures. m behind the leading car Submit My Answers Give Up Part B Find the magnitude of the system's total momentum, by using the given data Express your answer to three significant figures and include the appropriate units. Value Units Ph Submit My Answers Give Up Part C Find the speed of the system's center of mass. Express your answer to three significant figures and include the appropriate units vrm, Value Units

Explanation / Answer

A)

Assume SUV at the origin,

m1=1200kg, m2=1800kg, x1=0.0m, x2=40.0m

XCM = (m1x1+m2x2)/(m1+m2) = (1200*0+1800*40)/(1200+1800) = 24.0 m

Thus CM of two car system is 24.0 ahead of SUM or (40.0-24.0)=16.0 behind the leading car

B)

P1= m1v1+mvx2 = 1200*12.0+1800*20.0 = 50400kg*m/s

C)

VCM = (m1v1+mvx2)/(m1+m2) = (1200*12.0+1800*20.0)/(1200+1800) = 16.8 m

D)

P2= M*VCM = (1200+1800)*16.8 = 50400 kg*m/s

E)

P1=P2

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