Question

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

mass force acceleration calculations

1 612 kg 35.55 m/s²
2 2.25 kg 0.28 m/s²
3 64.00 kg 16.00 m/s²
4 a tesla model s has a mass of 1,610 kilogram. calculate the amount of force required to achieve an average acceleration of 8.65 meters per second squared.
mass force acceleration calculations
5 calculate the amount of force needed to accelerate a 145 gram baseball 398 meters per second squared.
mass force acceleration calculations
6 while climbing in the truss roof structure a carpenter dropped his 567 gram hammer. assuming the acceleration due to gravity to be 9.81 meters per second squared, calculate the force exerted by the earth on the hammer.
mass force acceleration
checksum 36787.98 the checksum is the unrounded total of all correctly calculated and rounded answers in the shaded boxes. ©2022 the chemistry nerd

Explanation:

Step1: Recall force - mass - acceleration formula

The formula for force is $F = m\times a$, where $F$ is force in Newtons (N), $m$ is mass in kilograms (kg), and $a$ is acceleration in meters per second squared ($m/s^{2}$).

Step2: Solve problem 1

Given $m = 612$ kg and $a=35.55$ $m/s^{2}$. Then $F=m\times a=612\times35.55 = 21756.6$ N. Rounding to the correct number of significant figures (3 significant figures since 612 has 3 significant figures), $F = 21800$ N.

Step3: Solve problem 2

Given $m = 2.25$ kg and $a = 0.28$ $m/s^{2}$. Then $F=m\times a=2.25\times0.28=0.63$ N.

Step4: Solve problem 3

Given $m = 64.00$ kg and $a = 16.00$ $m/s^{2}$. Then $F=m\times a=64.00\times16.00 = 1024$ N.

Step5: Solve problem 4

Given $m = 1610$ kg and $a = 8.65$ $m/s^{2}$. Then $F=m\times a=1610\times8.65 = 13926.5$ N.

Step6: Solve problem 5

First convert mass to kg: $m = 145$ g $=0.145$ kg, $a = 398$ $m/s^{2}$. Then $F=m\times a=0.145\times398 = 57.71$ N.

Step7: Solve problem 6

First convert mass to kg: $m = 567$ g $=0.567$ kg, $a = 9.81$ $m/s^{2}$. Then $F=m\times a=0.567\times9.81=5.56227$ N.

Answer:

1. $21800$ N
2. $0.63$ N
3. $1024$ N
4. $13926.5$ N
5. $57.71$ N
6. $5.56227$ N