Question

just need d and e. thank you

6. Consider a head-on collision between two pucks, T = 0.5 kg and m = 0.3 kg in the image below. V2 The puck m, is initially travelling in the +x direction with velocity o, = +10m/s, and m, is initially travelling in the x direction with velocity = -3m/s. The two collide with a perfectly elastic collision along the x-direction. (a) What is the speed of the center of mass of the two pucks? (b) What is the velocity of m, after the collision? (Include direction) (c) What is the velocity of m, after the collision? (Include direction) The two pucks collide again with the same initial velocities as before. Once again the collision is perfectly elastic, but this time the collision is slightly off-center, so the pucks scatter at an angle. After the collision, m, is travelling in a direction of 0, = 30° with respect to the positive x axis. V V2 m2 Vit (d) What is the velocity of m, after the collision? (Include direction) (e) What is the velocity of m, after the collision? (Include direction)

Answer 1

with velveity Viz (10 m/s) m, (0.5 kg) travelling m₂ (0-3 kg) travelling with velocity Vui (-3 m/s) Total moment un m, vit mavzi (o.5x (0) - (0.3x3) 4.1 kgm -ml Total momentum will always be constat =) velveity of the center P q mass F = mitme 0.570.3 V 5.125 mig Velveity of M2 after collision ; 2m, m, rm2 mit me m, tm2 V28 Viz Vze 260.5 0.5-03 + X3 XLO 051013 0.5to.3 10 0.8 t = 13.25 ml 0.8 vad 3.25 N75 m/s (treme x direction

mi-m2 mitm₂ Evit 2 m2 mit mz 280.3 0.5.0.3 0.5 p0.3 (co) e (3) oisto.3 2 11 vix 드 0.25 m/s Cave (tve x direction (velweity of m, after coursion Now Vig has two components Vis Coso, Calong a one is) Vig sind, (along y anxis) Vig Coso, = 0.25 mis 0.25 - Visa Cos 30° >vis = 0.29 mis ; po upward from) x-direction tve

m2 trowelling with relocity Vag has Let with Or angle two components, Vog sinds Calony w aris) Vaj Cos da Calong & anis) along y axi velweity of Centre of of mass Should be 8 IN 20 Vis sin a t Vaf sin Oz = 0 Vaj Sinoza - 0.25 mis Vaj Cos O q = 13-25 m/ Vas v (13.25)² + (0.25) 13.25 mis 0.25 will 2 13.25 -1. m2 will fromwell with 13.25 mts with (1.10) down the a direction