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A 70-kg astronaut floating in space in a 110-kg MMU
Chapter 10, Problem 61E(choose chapter or problem)
A 70-kg astronaut floating in space in a 110-kg MMU (manned maneuvering unit) experiences an acceleration of \(0.029 \mathrm{~m} / \mathrm{s}^{2}\) when he fires one of the MMU’s thrusters.
(a) If the speed of the escaping \(\mathrm{N}_{2}\) gas relative to the astronaut is 490 m/s, how much gas is used by the thruster in 5.0 s?
(b) What is the thrust of the thruster?
Questions & Answers
QUESTION:
A 70-kg astronaut floating in space in a 110-kg MMU (manned maneuvering unit) experiences an acceleration of \(0.029 \mathrm{~m} / \mathrm{s}^{2}\) when he fires one of the MMU’s thrusters.
(a) If the speed of the escaping \(\mathrm{N}_{2}\) gas relative to the astronaut is 490 m/s, how much gas is used by the thruster in 5.0 s?
(b) What is the thrust of the thruster?
ANSWER:Solution 61E Step 1 of 4: In the given problem, the mass of the astronaut m= 70 kg and in MMU of m =110 kg. 1 He experiences an acceleration of a=0.029 m/s when he fires. Here we need to calculate the amount of (N )ga2 used by the thruster in time dt= 5s where the escaping speed of gas is v ex490 m/s. Given data Total mass, M=m+m =70 kg + 110 kg=180 kg Acceleration, a=0.029 m/s 2 Time interval, dt= 5s External speed, v =ex 490 m/s (negative as it is opposite to the motion of rocket) To find, Amount of gas, dm = The thrust force, F=