yours friends are in a debate over who does t...
yours friends are in a debate over who does the most work. in which situation is the most work being done? a jesse hauls 9 kg bags of mulch 300 m with an average force of 90 n. b stella mops the restaurant with an average force of 60 n for 250 m. c peyton pushes his lawnmower with an average force of 75 n for 500 m. the lawnmower weighs 10 kg. d addie stocks 10 kg boxes of cans on the shelves of the grocery store with an average force of 30 n for a total of 1km.
Answer
# Explanation:
## Step1: Recall work - formula
Work is calculated by $W = F\times d$, where $F$ is the force applied and $d$ is the distance moved in the direction of the force.
## Step2: Calculate work for option A
Given $F_A=90\ N$ and $d_A = 300\ m$. Then $W_A=F_A\times d_A=90\times300 = 27000\ J$.
## Step3: Calculate work for option B
Given $F_B = 60\ N$ and $d_B=250\ m$. Then $W_B=F_B\times d_B=60\times250=15000\ J$.
## Step4: Calculate work for option C
Given $F_C = 75\ N$ and $d_C = 500\ m$. Then $W_C=F_C\times d_C=75\times500 = 37500\ J$.
## Step5: Calculate work for option D
First convert distance to SI - unit: $d_D=1\ km = 1000\ m$, $F_D = 30\ N$. Then $W_D=F_D\times d_D=30\times1000=30000\ J$.
## Step6: Compare work values
We have $W_A = 27000\ J$, $W_B=15000\ J$, $W_C = 37500\ J$, $W_D=30000\ J$. Since $37500>30000>27000>15000$, $W_C$ is the largest.
# Answer:
C. Peyton pushes his lawnmower with an average force of 75 N for 500 m. The lawnmower weighs 10 kg.