The figure shows a three-particle system, with masses m₁ = 4.5 kg, m₂ = 3.7 kg, and m3 = 6.7 kg. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? y (m) MS
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- An object with total mass mtotal = 14.4 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.7 kg moves up and to the left at an angle of θ1 = 18° above the –x axis with a speed of v1 = 26 m/s. A second piece with mass m2 = 5.4 kg moves down and to the right an angle of θ2 = 23° to the right of the -y axis at a speed of v2 = 22.6 m/s. What is the x-component of the velocity of the third piece? What is the y-component of the velocity of the third piece? What is the magnitude of the velocity of the center of mass of the pieces after the collision? Calculate the increase in kinetic energy of the pieces during the explosion.In the figure below, m1 3kg, m2= 4kg, and m3 = 8kg, and the scales on the axes are set by xs = 2m and ys = 2m. What are the x and y coordinates of the center of mass of the system?The position vectors of three particles of mass =(i + 4j + k) m, =1 kg, m2 = 2 kg and = 3 kg are rị m3 %3D m1 r2 = (i + j + k)m and r, =(2î- }- 2 k) m, respectively. Find the position vector of their centre of mass. %3D %3D
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