Question

13 fill in the blank 2 points
an object has a weight of -135 n on mars where the acceleration due to gravity is -3.76 m/s². what is the mass of the object?
(be sure your answer has the appropriate number of significant figures) (include the correct units: n, kg, m/s²) (put a space in between number and unit, example: -10 m/s²)
\\( vec{f_g}=mvec{a_g} \\)
mass: 50 kg
weight: 110 lbs
mass: 50 kg
weight: 42 lbs
earth
mars

Explanation:

Step1: Rearrange the weight - mass - acceleration formula

We know that $F_g = m\times a_g$. To find the mass $m$, we rearrange the formula to $m=\frac{F_g}{a_g}$.

Step2: Substitute the given values

Given $F_g=- 135\ N$ and $a_g = - 3.76\ m/s^2$. Substituting these values into the formula $m=\frac{F_g}{a_g}$, we get $m=\frac{-135}{-3.76}\ kg$.

Step3: Calculate the mass

$m=\frac{-135}{-3.76}\approx35.9\ kg$ (rounded to three significant figures).

Answer:

35.9 kg