Question

Constants Periodic Table A rocket of total mass 3230 kg is traveling in outer space with a velocity of 100 m/s. To alter its course by 33.0, its rockets can be fired briefly in a direction perpendicular to its initial motion Part A If the rocket gases are expelled at a speed of 1900 m/s, how much mass must be expelled? [Mint Uso a velocity triangle to relate the initial velocity of the rocket to the additional velocity component needed to ator its course by 33.01 Express your answer with the appropriate units. HÅ. M Value Units

Answer 1

solution - Given data m = 3230 kg Vx= 100m/s. 0 - 330 is Vegas 1900 m/s. Suppose the rocket, initially moving in a direction. pe PU 100 mis J330 where Pop! where 2330 px'- momentum of rocket (final) Py) - momentum of gas (final) Now finding velocity : Vyl - velocity of rocket Cfinal) vory-y-component of rocket velocity (final) From triangle - 100.x tau 83 = 64094 momentum of Conservation in y-directions (3230 - m) x x Voy Mx vg expelled (3230-m) x64,9,4 = m X 1906 100 mis tan 330 very 100 Now From here in is 7 mass 2097562-64.94m = 1900 m 1964.94 m2097562 209756.2 106-749 ~ 106.75 kg: 1964.94 rima 106.75, kg mass is expelled.