Thrust on a Spacecraft A spacecraft is moving in gravity-free space along a straight path when its pilot decides to accelerate forward. He turns on the thrusters, and burned fuel is ejected at a constant rate of 2.0 × 10² kg/s, at a speed (relative to the rocket) of 2.5 × 10² m/s. The initial mass of the spacecraft and its unburned fuel is 2.0 × 104 kg, and the thrusters are on for 30 s. a. What is the thrust (the force applied to the rocket by the ejected fuel) on the spacecraft? b. What is the spacecraft's acceleration as a function of time? c. What are the spacecraft's accelerations at t = 0, 15, 30, and 35 s?
Thrust on a Spacecraft A spacecraft is moving in gravity-free space along a straight path when its pilot decides to accelerate forward. He turns on the thrusters, and burned fuel is ejected at a constant rate of 2.0 × 10² kg/s, at a speed (relative to the rocket) of 2.5 × 10² m/s. The initial mass of the spacecraft and its unburned fuel is 2.0 × 104 kg, and the thrusters are on for 30 s. a. What is the thrust (the force applied to the rocket by the ejected fuel) on the spacecraft? b. What is the spacecraft's acceleration as a function of time? c. What are the spacecraft's accelerations at t = 0, 15, 30, and 35 s?
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Transcribed Image Text:Thrust on a Spacecraft
A spacecraft is moving in gravity-free space along a straight path when its pilot decides to accelerate forward.
He turns on the thrusters, and burned fuel is ejected at a constant rate of 2.0 × 10² kg/s, at a speed (relative to
the rocket) of 2.5 × 10² m/s. The initial mass of the spacecraft and its unburned fuel is 2.0 × 104 kg, and the
thrusters are on for 30 s.
a. What is the thrust (the force applied to the rocket by the ejected fuel) on the spacecraft?
b. What is the spacecraft's acceleration as a function of time?
c. What are the spacecraft's accelerations at t = 0, 15, 30, and 35 s?
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