Question

14 fill in the blank 2 points an astronaut on the moon has a mass of 50.0 kg and weighs -81.5 n. use this information to determine the acceleration due to gravity of objects on the moon. (be sure your answer has the appropriate number of significant figures) (include the correct units: n, kg, m/s^2) (put a space in between number and unit. example: -10. m/s^2) $vec{f_g}=mvec{a_g}$ mass:50 kg weight:110 lbs mass:50 kg weight:42 lbs earth mars

Explanation:

Step1: Identify the formula

The formula for weight is $F_g = m\vec{a}_g$, where $F_g$ is the weight, $m$ is the mass and $\vec{a}_g$ is the acceleration due to gravity.

Step2: Rearrange the formula for acceleration

We can rewrite the formula as $\vec{a}_g=\frac{F_g}{m}$.

Step3: Substitute the given values

Given $m = 50.0\ kg$ and $F_g=- 81.5\ N$. Substituting these values into the formula, we get $\vec{a}_g=\frac{-81.5\ N}{50.0\ kg}$.

Step4: Calculate the value

$\vec{a}_g=-1.63\ m/s^2$.

Answer:

-1.63 m/s^2