5- A spacecraft with a mass of 12,000 kg is dropping vertically towards a planet at a constant speed of 800 m/s (See Fig.). To slow down the spacecraft, a solid-fuel rocket at the bottom is fired, and combustion gases leave the rocket at a constant rate of 80 kg/s and at a velocity of 3000 m/s relative to the spacecraft in the direction of motion of the spacecraft for a period of 5 s. Disregarding the small change in the mass of the spacecraft, determine (a) the deceleration of the spacecraft during this period, x 3000 m/s 80 kg/s (b) the change of velocity of the spacecraft, and (c) the thrust exerted on the spacecraft 800 m/s

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5- A spacecraft with a mass of 12,000 kg is dropping
vertically towards a planet at a constant speed of 800
m/s (See Fig.). To slow down the spacecraft, a solid-fuel
rocket at the bottom is fired, and combustion gases leave
the rocket at a constant rate of 80 kg/s and at a velocity
of 3000 m/s relative to the spacecraft in the direction of
motion of the spacecraft for a period of 5 s. Disregarding
the small change in the mass of the spacecraft, determine
(a) the deceleration of the spacecraft during this period,
x
3000 m/s
80 kg/s
(b) the change of velocity of the spacecraft, and (c) the thrust exerted on the
spacecraft
800 m/s
Transcribed Image Text:5- A spacecraft with a mass of 12,000 kg is dropping vertically towards a planet at a constant speed of 800 m/s (See Fig.). To slow down the spacecraft, a solid-fuel rocket at the bottom is fired, and combustion gases leave the rocket at a constant rate of 80 kg/s and at a velocity of 3000 m/s relative to the spacecraft in the direction of motion of the spacecraft for a period of 5 s. Disregarding the small change in the mass of the spacecraft, determine (a) the deceleration of the spacecraft during this period, x 3000 m/s 80 kg/s (b) the change of velocity of the spacecraft, and (c) the thrust exerted on the spacecraft 800 m/s
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