Question

UPS 2007/2008 (Q3b) 2 60° 30° V2 FIGURE 3 A homemade rocket is moving at a speed of 45 ms. The rocket breaks into two pieces of equal mass which fly off with velocities, v, and v2, as shown in FIGURE 3. Calculate the magnitude of vi, and v (Neglect the effect of gravity) [6 marks] Ans : 44.41 m s1, 77.92 m s']

Answer 1

Solution m Let M' man ob srecket ut m and m 600 V300 Iw V24SM/ Inihal ae the mames ob fragementh Final thown in fiure rere oE oill ue Hhe concept ob rochet mermuntum. meving alarg Conscrwation 3nitially n-anii MVAF mN Cos3otmcosb0 os = Visinbo-vsins oo Vi CalboT ViSimbo Vsinzo 0S AS Sin 60 0.87 .87 Sin3ooS

. 5774 vy Prem eq 0MV m (COA30 + v, Cos6o mitmi m, Me2m 2ne Lo.866) +vi Co5 0.S714 J(o.SJV CAA VIe.s171 Snxt 0.866JV+ 1IS47 V 90 77-44 miSec Ch5l o wE have From S71 C71.94 VI .q7 mIsec which u clere to s1