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

The value is
`m = 69.24 \ kg`

Step-by-step 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 = (F)/(a)`

=>
`m = (59 )/(0.852 )`

=>
`m = 69.24 \ kg`