Question

instructions: use the formula for mass to solve the following problems. round all answers to the correct number of significant figures. show all your work.

mass force acceleration calculations

1 21 n 7 m/s²
2 415 n 92.25 m/s²
3 22.15 n 3.61 m/s²
4 calculate the mass (in grams) of an arrow accelerating 3,740 m/s² when fired from a compound bow with a force of 60.75 newtons. mass force acceleration calculations
5 calculate the mass of a roller skater who accelerates 0.85 m/s² by pushing off with 44.7 newtons of force. mass force acceleration calculations
6 calculate the mass of a hydroplane with a jet engine that produces a net thrust of 19,750 newtons and accelerates 5.41 m/s². mass force acceleration calculations
checksum 3732.34 the checksum is the unrounded total of all correctly calculated and rounded answers in the shaded boxes. ©2022 the chemistry nerd

Explanation:

Step1: Recall the formula

The formula for mass is $m=\frac{F}{a}$, where $m$ is mass, $F$ is force and $a$ is acceleration.

Step2: Solve problem 1

Given $F = 21\ N$ and $a=7\ m/s^{2}$. Substitute into the formula: $m=\frac{21}{7}=3\ kg$.

Step3: Solve problem 2

Given $F = 415\ N$ and $a = 92.25\ m/s^{2}$. Then $m=\frac{415}{92.25}\approx4.50\ kg$.

Step4: Solve problem 3

Given $F = 22.15\ N$ and $a=3.61\ m/s^{2}$. So $m=\frac{22.15}{3.61}\approx6.14\ kg$.

Step5: Solve problem 4

Given $F = 60.75\ N$ and $a = 3740\ m/s^{2}$. First, find $m=\frac{60.75}{3740}\ kg$. Convert to grams: $m=\frac{60.75}{3740}\times1000\approx16.2\ g$.

Step6: Solve problem 5

Given $F = 44.7\ N$ and $a = 0.85\ m/s^{2}$. Then $m=\frac{44.7}{0.85}\approx52.6\ kg$.

Step7: Solve problem 6

Given $F = 19750\ N$ and $a=5.41\ m/s^{2}$. So $m=\frac{19750}{5.41}\approx3650\ kg$.

Answer:

1. $3\ kg$
2. $4.50\ kg$
3. $6.14\ kg$
4. $16.2\ g$
5. $52.6\ kg$
6. $3650\ kg$