An astronaut wants to travel from a space station to a satel-lite S that needs repair. She departs the space station at O. Aspring-loaded launching device gives her maneuvering unit an ini-tial velocity of 1 m/s (relative to the space station) in the y direc-tion. At that instant. the position of the satellite is x = 70 m,y = 50 m, z = 0, and it is drifting at 2 m/s (relative to the station)in the x direction. The astronaut intercepts the satellite by applyinga constant thrust parallel to the x axis. The total mass of the astro-naut and her maneuvering unit is 300 kg.(a) How long does it take the astronaut to reach the satellite?(b) What is the magnitude of the thrust she must apply to makethe intercept?(c) What is the astronaut's velocity relative to the satellite whenshe reaches it?Ssolution without explanation

displacement in y direction = 50m velocity of approach in y direction = 1 m/s time to reach = 50…

(a) How long does it take the astronaut to reach the satellite? (b) What is the magnitude of the thrust she must apply to make the intercept? (c) What is the astronaut's velocity relative to the satellite when she reaches it?

(a) How long does it take the astronaut to reach the satellite? (b) What is the magnitude of the thrust she must apply to make the intercept? (c) What is the astronaut's velocity relative to the satellite when she reaches it?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

An astronaut wants to travel from a space station to a satel-
lite S that needs repair. She departs the space station at O. A
spring-loaded launching device gives her maneuvering unit an ini-
tial velocity of 1 m/s (relative to the space station) in the y direc-
tion. At that instant. the position of the satellite is x = 70 m,
y = 50 m, z = 0, and it is drifting at 2 m/s (relative to the station)
in the x direction. The astronaut intercepts the satellite by applying
a constant thrust parallel to the x axis. The total mass of the astro-
naut and her maneuvering unit is 300 kg.
(a) How long does it take the astronaut to reach the satellite?
(b) What is the magnitude of the thrust she must apply to make
the intercept?
(c) What is the astronaut's velocity relative to the satellite when
she reaches it?
S
solution without explanation

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