Question

12 fill in the blank 2 points an object has a weight of - 135 n on earth. 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/s^2) $vec{f}_g=mvec{a}_g$ mass:50 kg weight:110 lbs mass:50 kg weight:42 lbs earth mars type your answer...

Explanation:

Step1: Recall gravitational - force formula

The formula for weight (gravitational force) is $F_g = m\times g$, where $F_g$ is the weight, $m$ is the mass, and $g$ is the acceleration due to gravity on Earth ($g = 9.8\ m/s^2$). We need to solve for $m$.

Step2: Rearrange the formula to solve for mass

From $F_g = m\times g$, we can get $m=\frac{F_g}{g}$.

Step3: Substitute the given values

Given $F_g=- 135\ N$ and $g = 9.8\ m/s^2$, then $m=\frac{-135\ N}{9.8\ m/s^2}\approx - 13.8\ kg$. But mass is a scalar quantity and cannot be negative in the physical - sense. The negative sign in the weight just indicates the direction (downward). So, $m = 13.8\ kg$.

Answer:

13.8 kg