Use the worked example above to help you solve this problem. A rocket has a total mass of 1.04 x 105 kg and a burnout mass of 1.07 x 104 kg, including engines, shell and payload. The rocket blasts off from Earth and exhausts all its fuel in 3.86 min, burning the fuel at a steady rate with an exhaust velocity of v = 4.16 x 10³ m/s. (a) If air friction and gravity are neglected, what is the speed of the rocket at burnout? m/s (b) What thrust does the engine develop at liftoff? N (c) What is the initial acceleration of the rocket if gravity is not neglected? m/s² (d) Estimate the speed at burnout if gravity isn't neglected. m/s

Elements Of Electromagnetics
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PRACTICE II
Use the worked example above to help you solve this problem. A rocket has a total mass of 1.04 x 105 kg
and a burnout mass of 1.07 x 104 kg, including engines, shell and payload. The rocket blasts off from
Earth and exhausts all its fuel in 3.86 min, burning the fuel at a steady rate with an exhaust velocity of ve
= 4.16 x 10³ m/s.
(a) If air friction and gravity are neglected, what is the speed of the rocket at burnout?
m/s
(b) What thrust does the engine develop at liftoff?
N
(c) What is the initial acceleration of the rocket if gravity is not neglected?
m/s²
(d) Estimate the speed at burnout if gravity isn't neglected.
m/s
EXERCISE
A spaceship with a mass of 4.90 x 104 kg is traveling at 5.71 x 10³ m/s relative to a space station. What
mass will the ship have after it fires its engines in order to reach a speed of 8.16 x 10³ m/s? Assume an
exhaust velocity of 4.73 x 10³ m/s.
kg
HINTS:
GETTING STARTED I I'M STUCK!
Transcribed Image Text:PRACTICE II Use the worked example above to help you solve this problem. A rocket has a total mass of 1.04 x 105 kg and a burnout mass of 1.07 x 104 kg, including engines, shell and payload. The rocket blasts off from Earth and exhausts all its fuel in 3.86 min, burning the fuel at a steady rate with an exhaust velocity of ve = 4.16 x 10³ m/s. (a) If air friction and gravity are neglected, what is the speed of the rocket at burnout? m/s (b) What thrust does the engine develop at liftoff? N (c) What is the initial acceleration of the rocket if gravity is not neglected? m/s² (d) Estimate the speed at burnout if gravity isn't neglected. m/s EXERCISE A spaceship with a mass of 4.90 x 104 kg is traveling at 5.71 x 10³ m/s relative to a space station. What mass will the ship have after it fires its engines in order to reach a speed of 8.16 x 10³ m/s? Assume an exhaust velocity of 4.73 x 10³ m/s. kg HINTS: GETTING STARTED I I'M STUCK!
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