Question

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 magnitude 59.0 N is exerted and the magnitude of the astronaut's acceleration is measured to be 0.852 m/s2. Calculate her mass.

Answer 1

Answer:

The value is  $m = 69.24 \ kg$

Explanation:

From the question we are told that

   The value of the external force is  $F = 59.0 \ N$

    The magnitude of the astronaut's acceleration is  $a = 0.852 \ m/s$

Generally Newton's Second Law of Motion from the mass of the astronauts is mathematically represented as

            $m = \frac{F}{a}$

=>         $m = \frac{59 }{0.852 }$

=>         $m = 69.24 \ kg$