Computer Science

Mass Energy equation :-        A/C to Netwon's ll low of motion                   F=d/dt(mv)             =m dv/dt+v dm/dt This force F is displace as body thought a distance dx. Then increase K.E, i.e dEk of the body equal work done F.dx.         dEk=F.dx               =(m dv/dt+v dm/dt).dx               =m(dx/dt ) dv+v(dx/dt)dm              =mv dv+v²dm................(1)      A/C Variation of mass with velocity          m=m. /√1-(v²/c²)         m √(c²-v²)/c²=m.      m²c²-m²v²= m.²c²    2mdm c²-2mdm v²+2vdv m²=0        2m(c²dm-v²dm-mvdv)=0   ...

Conservation of angular momentum:- If external Torque(८)is zero total angular Momentum remains constant. For a particular angular momentum               J=r×p(in vector)----------------(1) Now diff.   eq1 with respect to time   dJ/dt=d/dt(r×p)              =r dp/dt+p dr/dt              =r×F +(mv)v.    {dp/dt=F, two                                        Vector cross v×v=0}             =r×F +0                                     ...