Question

an object with a mass of 9 kg weighs 14.4 n on the moon. what is the acceleration due to the moons gravity?
a. 8.9 m/s²
b. 1.6 m/s²
c. 9.8 m/s²
d. 3.7 m/s²

Explanation:

Step1: Recall the weight - force formula

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

Step2: Rearrange the formula to solve for $g$

We can rewrite the formula as $g=\frac{F}{m}$.

Step3: Substitute the given values

Given $F = 14.4\ N$ and $m = 9\ kg$, then $g=\frac{14.4}{9}$.

Step4: Calculate the value of $g$

$g = 1.6\ m/s^{2}$.

Answer:

B. $1.6\ m/s^{2}$