Question

7 Sho ..6.20 Screen 019-10 Sphere A, of mass 0.600 kg, is initially moving to the right at 4.00 m/s. Sphere B, of mass 1.80 kg, is initially to the right of sphere A and moving to the right at 2.00 m/s. After the two spheres collide, sphere B is moving at 3.00 m/s in the same direction as before. (a) What is the velocity (magnitude and direction) of sphere A after this collision? (b) Is this collision elastic or inelastic? (c) Sphere B then has an off-center collision with sphere C, which has mass 1.20 kg and is initially at rest. After this collision, sphere B is moving at 19.0 to its initial direction at 1.20 m/s. What is the velocity (magnitude and direction) of sphere C after this collision? (d) What is the impulse ( magnitude and direction) imparted to sphere B by sphere C when they collide? (e) Is this second collision elastic or inelastic? (t) What is the velocity (magnitude and direction of the center of mass of the system of three spheres (A, B and C) after the second collision? No external forces act on any of the spheres in this problem. reen Sh 102. 2054519

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Answer 1

P-36k 40 = 2 m/s u=0 m₂ = 1.80kg Mc = 1.20kg → Vo = 1.2016 51 - - Vc using momentum conservation in a direction Molub xt Maluca movox + Mc Vcx UBx = 2m/s, Ucx=0, Vox = Vo cosig, Vex = U, oso in 180x2 + 1.2x0= 1.80 x B x 0.94 + 1.2 XV, lose 3.6= 1.7vot 112 Vecos O ( Vo=1.2 m/s ) Ve COS = 1.298 0 y direction Mouby & Mercy - MB vay & Mercy May = Ucy =0 VBY = Vosing = 1.280.32 = 0.0 / Vcy = - visino oto= 1.880.39 - 12 vesino. Vesino = 0.5B6 - ① + egye, we coso + vi sino = (12983* + 10.500)? Vch (sin'o + cos²0) = 2.628 V²=2.028 ( sin or costo = 1) To = 1.42 mis ? eg" o