Question

If the astronaut throws the tool with a force of 16.0 n , what is the magnitude of the acceleration a of the astronaut during the throw? assume that the total mass of the astronaut after she throws the tool is 80.0 kg . express your answer in meters per second squared.

Answer 1

The magnitude of the acceleration of the astronaut : 0.2 m/s²

Further explanation

Newton's 2nd law explains that the acceleration produced by the resultant force on an object is proportional and in line with the resultant force and inversely proportional to the mass of the object

∑F = m. a

$\large {\boxed {\bold {a = \frac {\sum F} {m}}}$

F = force, N

m = mass = kg

a = acceleration due to gravity, m / s²

the astronaut throws the tool with a force of 16.0 N ⇒  F = 16 N

the total mass of the astronaut after she throws the tool is 80.0 kg

 ⇒ m = 80 kg

magnitude of the acceleration of the astronaut during the throw

$\rm a=\dfrac{F}{m}\\\\a=\dfrac{16\:N}{80\:kg}\\\\a=\boxed{\bold{0.2\:\dfrac{m}{s^2}}}$

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Answer 2

From Newton’s second law of motion, the value of the force is calculated by multiplying the mass and the acceleration as,

                                             F = mass   x acceleration

If we substitute the known values into the equation,

                                             16 N = 80 kg x acceleration

                                               Acceleration = 0.2 m/s2