An astronaut has a mass of 100 kg. She recedes from her spacecraft using spurts of gas from a small unit on her back. If the force generated by the gas spurt is 50 N, calculate her acceleration.

To calculate the acceleration of the astronaut, you need to use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

The formula for Newton's second law is:

F = m * a

Where:
F is the force acting on the object (in Newtons),
m is the mass of the object (in kilograms), and
a is the acceleration of the object (in meters per second squared).

In this case, the force acting on the astronaut is given as 50 N, and the mass of the astronaut is 100 kg. We can rearrange the formula to solve for the acceleration:

a = F / m

Substituting the given values:

a = 50 N / 100 kg
a = 0.5 m/s^2

Therefore, the acceleration of the astronaut is 0.5 m/s^2.