Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 45.0 N is exerted, and an astronaut's acceleration is measured to be 0.662 m/s². (a) Calculate her mass (in kg). 67.98 kg (b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the spaceship that would be measured by a nearby observer. (Enter the magnitude. Use the following as necessary: mastro for the astronaut's mass, mship for the spaceship's mass, and a astro for the magnitude of the astronaut's acceleration. Do not substitute numerical values; use variables only.) mastro“ astro a ship aship

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 23PQ: The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net...
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Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses and adjust their diet. One
way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 45.0 N is exerted, and an astronaut's acceleration is measured
to be 0.662 m/s².
(a) Calculate her mass (in kg).
67.98
kg
(b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the spaceship
that would be measured by a nearby observer. (Enter the magnitude. Use the following as necessary: mastro
for the astronaut's mass, mship
for the spaceship's mass, and a astro
for the
magnitude of the astronaut's acceleration. Do not substitute numerical values; use variables only.)
mastro“ astro
a ship
aship
Transcribed Image Text:Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 45.0 N is exerted, and an astronaut's acceleration is measured to be 0.662 m/s². (a) Calculate her mass (in kg). 67.98 kg (b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the spaceship that would be measured by a nearby observer. (Enter the magnitude. Use the following as necessary: mastro for the astronaut's mass, mship for the spaceship's mass, and a astro for the magnitude of the astronaut's acceleration. Do not substitute numerical values; use variables only.) mastro“ astro a ship aship
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