A 5510 kg space probe, moving nose-first toward Jupiter at 250 m/s relative to the Sun, fires its rocket engine, ejecting 75.0 kg of exhaust at a speed of 241 m/s relative to the space probe. What is the final velocity of the probe

final velocity of the probe 253.30 m/s

Explanation:

Mass of space probe mi= 5510 kg

initial speed of probe vi= 250 m/s

Exhaust mass m= 75 kg

speed of exhaust vf = 241 m/s

Mass of the fuel mf= mi-m = 5510-75 =5435 kg

Final speed of probe

final velocity of the probe 253.30 m/s

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j