Problems: 41: A system consists of three particles, each of unit mass, with positions and velocities as follows: n=i+j V₁ = 21 r₂ =j+k v₂ = j 4=k v=i+j+k (a) Find the position and velocity of the center of mass. (b) Find also the linear momentum of the system. (c) Find the kinetic energy of the system. (d) Find the value of mo/2. (e) Find the angular momentum about the origin.
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- Two identical cars (m = 1350 kg) are traveling at the same speed of 20.2 m/s. They are moving in the directions shown in the drawing. What is the magnitude of the total momentum of the two cars? Magnitude of total momentum = i Save for Later North 60.0⁰ 30.0° East Attempts: 0 of 1 used Submit AnswerAs it is sliding across ice, an internal explosion breaks an 80 kg object into two pieces. One piece has a mass of 33 kg and moves off with a speed of 15 m/s at an angle of 40° relative to the initial path of the object. If the object was initially moving at 20 m/s. (a) What is the speed and direction of the other piece after the explosion? Be sure to explain how you are able to determine this. (b) Compare the kinetic energy of the single object before the explosion to the total ki- netic energy of the two pieces after the explosion. Explain how this relates to the term 'explosion'.A shell is shot with an initial velocity v o of 21 m/s, at an angle of 00 = 57° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (see the figure). One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment land, assuming that the terrain is level and that air drag is negligible? Explosion Number Units
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