9.3 Conservation of Linear Momentum 35. Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first having a mass of 1.50 x 10" kg and a velocity of (0.30m/s ) i, and the second having a mass of 1.10 x 10* kg and a velocity of -(0.12m/s ) i. What is their final velocity? '1,i = (0.30 m/s)i V2,i = -(0.12 m/s)i37. The figure below shows a bullet of mass 200 g traveling horizontally towards the east with speed 400 m/s, which strikes a block of mass 1.5 kg that is initially at rest on a frictionless table. After striking the block, the bullet is embedded in the block and the block and the bullet move together as one unit. a. What is the magnitude and direction of the velocity of the block/bullet combination immediately after the impact? b. What is the magnitude and direction of the impulse by the block on the bullet? c. What is the magnitude and direction of the impulse from the bullet on the block? d. If it took 3 ms for the bullet to change the speed from 400 m/s to the final speed after impact, what is the average force between the block and the bullet during this time?57. A 200-kg rocket in deep space moves with a velocity of (121m/s ) i + (38.0m/s ) j. Suddenly, it explodes into three pieces, with the first (78 kg) moving at - (321m/s ) i + (228m/s ) j and the second (56 kg) moving at (16.0m/s ) i - (88.0m/s ) j. Find the velocity of the third piece.9.6 Center of Mass 63. Three point masses are placed at the corners of a triangle as shown in the figure below. 75 g 3 cm 100 g 4 cm 150 g Find the center of mass of the three-mass system.59. Find the center of mass of a rod of length L whose mass density\":r changes from one end to the other quadratically. That isr if the rod is laid out along the x-axis with one end at the origin and the other end at 2 :r = L, the densityr is given by p($} 2 pl] + (p1 pg} (E) , where p0 and p1 are constant 1I.ralues. https://openstax.org/books/university-physics-volume-1/pages/9-problems