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four students were loading boxes of food collected during a food drive.…

Question

four students were loading boxes of food collected during a food drive. the force that each student exerted while lifting and the distance each box was lifted are listed in the table.

studentforce (n)distance (m)
mika402.0
sara301.5
bill600.5

which lists the students in order from the greatest amount of work done to the least? (work: w = fd)
o bill, sara, chet, mika
o mika, chet, sara, bill
o bill, chet, mika, sara
o mika, sara, chet, bill

Explanation:

Step1: Calculate work for Chet

$W_{Chet}=F_{Chet}d_{Chet}=50\times1.0 = 50\ J$

Step2: Calculate work for Mika

$W_{Mika}=F_{Mika}d_{Mika}=40\times2.0=80\ J$

Step3: Calculate work for Sara

$W_{Sara}=F_{Sara}d_{Sara}=30\times1.5 = 45\ J$

Step4: Calculate work for Bill

$W_{Bill}=F_{Bill}d_{Bill}=60\times0.5=30\ J$

Step5: Order from greatest to least

Comparing the values: $80>50>45>30$, so the order is Mika, Chet, Sara, Bill

Answer:

Mika, Chet, Sara, Bill