Answered

If a person lifted a 500 kg weight to a height of 2 meters, how much work did they do against gravity?
A. 980 J
B. 1960 J
C. 4900 J
D. 9800 J



Answer :

Answer:

D. 9800 J

Explanation:

We can find the amount of work done by lifting a 500 kg weight to a height of 2 meters by using the work formula:

[tex]\boxed{W=Fs}[/tex]

where:

  • [tex]W=\texttt{work}[/tex]
  • [tex]F=\texttt{applied force}[/tex]
  • [tex]s=\texttt{distance}[/tex]

In this question, the applied force is equivalent to the weight, which:

[tex]\boxed{w=mg}[/tex]

where:

  • [tex]w=\texttt{weight}[/tex]
  • [tex]m=\texttt{mass}[/tex]
  • [tex]g=\texttt{gravity}[/tex]

If we combined the 2 formulas, it will become:

[tex]\boxed{Work(W)=mgs}[/tex]

Given:

  • [tex]m=500\ kg[/tex]
  • [tex]s=2\ m[/tex]
  • [tex]g=9.8\ m/s^2[/tex]

Then:

[tex]\begin{aligned}W&=mgs\\&=500\times2\times9.8\\&=\bf 9800\ J\end{aligned}[/tex]

Other Questions