Question

1. what is the weight of a 60 kg astronaut on earth? (show work w = m x g) 6. suppose the astronaut from question #5 were to travel to a planet whose gravitational attraction has been reduced to 1/10 of that of earths gravitational attraction. what would be the weight of the astronaut on this planet? (show work) 7. a backpack weighs 8.2 newtons and has a mass of 5 kg on the moon. what is the acceleration due to gravity on the moon? (show work)

Explanation:

Step1: Recall weight - mass formula

The formula for weight is $w = mg$, where $w$ is weight, $m$ is mass and $g$ is acceleration due to gravity.

Step2: Solve for $g$ for the moon problem

Given $w = 8.2\ N$ and $m=5\ kg$ on the moon. Rearranging the formula $g=\frac{w}{m}$. Substitute the values: $g=\frac{8.2}{5}=1.64\ m/s^{2}$.

Step3: Find weight on Earth for 60 - kg astronaut

On Earth, $g = 9.8\ m/s^{2}$ and $m = 60\ kg$. Using $w=mg$, we have $w=60\times9.8 = 588\ N$.

Step4: Find weight on new - planet for astronaut from question 5

The gravitational attraction on the new planet is $\frac{1}{10}$ of Earth's. Earth's $g = 9.8\ m/s^{2}$, so $g_{new}=\frac{9.8}{10}=0.98\ m/s^{2}$. The mass of the astronaut is $m = 60\ kg$. Using $w = mg$, we get $w=60\times0.98 = 58.8\ N$.

Answer:

1. Acceleration due to gravity on the moon: $1.64\ m/s^{2}$
2. Weight of 60 - kg astronaut on Earth: $588\ N$
3. Weight of the astronaut from question 5 on the new planet: $58.8\ N$