Since astronauts in orbit are apparently weightless, a clever method of
measuring their masses is needed to monitor their mass gains or losses to
adjust diets. 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 \(50.0
\mathrm{~N}\) is exerted and the astronaut's acceleration is measured to be
\(0.893 \mathrm{~m} / \mathrm{s}^{2}\). (a) Calculate her mass. (b) By exerting
a force on the astronaut, the vehicle in which they orbit experiences an equal
and opposite force. Discuss how this would affect the measurement of the
astronaut's acceleration. Propose a method in which recoil of the vehicle is
avoided.