11. [3 points] An object of mass 2 kg moves to the right at a speed of 7 m/s, and an object of mass 3 kg moves to the left at a speed of 4 m/s. The two objects collide headon and elastically. Determine the velocities of the objects immediately after the collision. 12. [3 points] On a frictionless airhockey table, a puck of mass m moves East at a speed of 4 m/s towards a stationary puck of mass 2m. The pueks collide elastically. After the collision, the heavier puck moves in a direction 30 South of East and the lighter puck moves in a direction 6 North of East. Determine the speeds of the pucks just after the collision and determine the angle 6'. # Giun data, V,2 4m)s mass ( m , ) 2 n East * mass ( m , ] - 2m 7 L 4mls 2920 O - 'E m 2m 2m 130 Before collision. Prom Law of conservation of monuntum. mov,' t m , v . ! for Horizontal direction mxy + 2 mxo = mvsing + 2m visin30 V _ sing + Vy = 4 for verticle direction. mxo +2mxo = mx V, cast + V, cas30 xem . V , co + 3 VH = 0 V. Caso + $3 ( 4 - V, sino) = 6 V, Cease - simos + 53 x4 20# Gum that , 4mls O-7mls 3-19 13 Before collision after collision . By Law of conservation, miv, + miv, = miv, + mzvz 2 X 7 - 2 X 4 = 2 ( - V, ' ) + ( 3 2 ( + V 2 ) 2 2 + 2 Ving + 3 Vz kg By Conservation of Brurgy 2 2 2. 1 x 2 x 7 2 + 1 x 3 ( - 4 ) 2 = 1 2x ( V2Fg )2 + 1 3 x (-Vet) X . 2 2 13 x2 : = 2 Vi + 3 3kg 146 = 146 219 . = 2 0~ + 3 / 27 2Vigg) 2 3 438 = 6V2 + 4+ 4V2 2 Kg * + 2 X2X 2V 201 0v,2 + 8 V28 - 434 20 Since VERY have directed toward left V2Rg 2 - 6. 2mls . Now Uzky - 4.8m/s Calculation of Vegg 2 = - 2 V zrg + 3 V2 Fg 3 3 + 2x 6.2 , 3. Varg = 4.8mls directed toward Right . According to your notation; V, = VeRy = - 62m/sBy Energy :conservation. (Horizontal ) 1 2 1 muzy IMz V, 2 2 Lm, V12 + 5 m 2 V 2' 2 2. Ixm ( 42 2 + 2 ( 2myxo2 = 1 m ( visine) Flehalices + + (2m) (sin 303 2 16 = vising + 2 VH x 1 16 = Usin 2 0 + 1 ( 4 - v, sino) ? 16 = v2sinD + 1 ( 16+ V, sino - 8v, sino) 32 = 3vzsing +16 - 8vi sing 3 v, sinto + 16 - 8Visine =6 V,sino= 4 - 1.33 IF Using = 4 V. case - 4+453 = 0 V, CaJO = - 2.928 4 V . case ( - 2 . 928 ) ( 9n8 2 - 1.3661 02 53. 790 () This do correct Because collide elastic If VSino = - 1.33 V . casD + 1.39 + 453 20 V, Cap2 8.258 2 tanDe - 183 V Caso