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In physics, work is defined as [tex]$W = F \cdot D$[/tex], where [tex]$F$[/tex] is the force applied over a distance of [tex][tex]$D$[/tex][/tex].

A box is dragged across 20 meters with a force of 60 Newtons, where Newtons are [tex]$\frac{kg \cdot m}{s^2}$[/tex].

What calculation will give us the work done, in Joules (which are [tex]$\frac{kg \cdot m^2}{s^2}$[/tex])?

Choose one answer:
(A) [tex][tex]$20 \cdot 60$[/tex][/tex]
(B) [tex]$20 \cdot 1000 \cdot 60$[/tex]
(C) [tex]$\frac{20}{1000} \cdot 60$[/tex]
(D) [tex][tex]$\frac{20}{60}$[/tex][/tex]

Sagot :

GinnyAnswer
To determine the work done in moving the box, you can use the formula for work, which is [tex]\( W = F \cdot D \)[/tex]. Here, [tex]\( W \)[/tex] is the work done in Joules, [tex]\( F \)[/tex] is the force applied in Newtons, and [tex]\( D \)[/tex] is the distance in meters.

Given:
- The distance [tex]\( D \)[/tex] = 20 meters
- The force [tex]\( F \)[/tex] = 60 Newtons

Plugging these values into the formula:

[tex]\[ W = F \cdot D = 60 \, \text{Newtons} \cdot 20 \, \text{meters} \][/tex]

This gives the work done:

[tex]\[ W = 1200 \, \text{Joules} \][/tex]

The correct calculation to get the work done is:

[tex]\[ 20 \cdot 60 \][/tex]

So, the correct answer is:
(A) [tex]\( 20 \cdot 60 \)[/tex]
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