Question

Problem 4 10 marks Two solid spheres of total masses my and my respectively collide such that at the instant of impact the x axis passes through the centers C1 and C2 of the spheres. The collision is perfectly elastic (that is, (ví - ví). î = -(V1 – V2) · î). Find their velocities after impact (ví and vź) in terms of their velocities before impact (v1 and V2 or V1, V2,01 and 62). m2

Answer 1

V2 Sin 82 VI m 2 Sine Cos yCose Along Apelyjny Line impac iex-aris sing monentum Conteration ine b impacte, Yaris Perpendiculan 0 Comarsta momentam mSine,mv2 Sine,mr Singmv, Sin For elaste colison, -7 V, sino, -Sino Sn v, Sn l Yis Coto,-V cos+vC 17 in 290 Sabtinding 2m2 mi-m Cos + mitm2 Simi llady vSin, 2 m2 mitm 31-m4 VV mitmi Sino, +

17 -V 2 w myem cs Vcos, m mitmy nd vSin Sine, 2 mi m m 2 + (T (V) (2 m mitm 2 m +2YV2 mtm Sing,sine m-m2 (W) 2 m2 ms 17 + mytm, 2/-m ( (V) E«) 2m + tm ) Cos ,-6) 2my mitmy 2 2mi Cos (0-0) 2 m) + m m