The g-force is given by $1 + \frac{a}{g}$. The question is that a rocket is accelerating from between Mars AND Juptier at 26.95m/s. The astronaut in focus is 60kg (irrelevant I believe).
Using this, I need to calculate the g-force. I have the correct answer on the sheet - 2.75.
Using $1 + \frac{a}{g}$:
$1 + \frac{26.95}{9.81}$
I get a value of 3.75
I seem to be off by 1.
Can someone show me were I went wrong?
I think the 1 in you formula comes from the attraction of the earth. $${g-force} = \frac{\sum a }{g}$$
So normally on earth you would have, the accelerations coming from the earth, and the rocket:
$$\sum a = g + a_{rocket}$$
Thus the g-force would be:
$${g-force} = \frac{g + a_{rocket} }{g}=1+\frac{a_{rocket}}{g}$$
However, when we are in space, far away from the earth, there is no gravitation coming from the earth (or at least very small)
Therefore we have:
$${g-force} = \frac{0+a_{rocket} }{g}=0+\frac{a_{rocket}}{g}$$
Please always check if formula's are valid for your specific case, it is vital for reaching the right answer.
