Question

Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 3.2 × 10⁴ kg (about 32 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of <0, 20, 0> km/s. As you pass the location <4, 2, 0> km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of <9 × 10⁵, 0, 0> N for 20.0 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?)

r→f=

< , , > m

Answer 1

aveny The mam o 2.210 K32 metac tons e ial velocity veelet, v <,20,0 km5. o, 20000 o Vo The net ce on the ocket by the thuster F= <9ro, o0N t20 Sec The imul, J- F.t ,, o>20> J 20) , c,o 7 070 NS The initial momentum , P= mv (320o)(2 10o o, ae64 10',0> s PoJ 0.64 , o P mv The ined velocity

<562.5, The inal o hovhion, ४s = x o + V it :(telh) <u০০,200০, ০> +<5260১, 20060 , e7 3C0० 1४११ ५०० । 12002000 <ঃ११, ५ । 12002 ১