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Which of the following measurement units is appropriate for work (W) in the formula W=FdW=FdW=Fd, where FFF represents force in Newtons (N) and ddd represents distance in meters (m)?

A) kg·m²/s²
B) kg²·m/s²
C) kg·m²/s
D) kg·m/s²

User Amirpc
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1 Answer

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Final answer:

The correct measurement unit for work (W = Fd) is A) kg·m²/s², which is also known as a joule (J).

Step-by-step explanation:

In order to determine the appropriate unit for work in the formula W = Fd, where F represents force in Newtons (N) and d represents distance in meters (m), we will analyze the units given in the options provided.

The SI unit of force is the Newton (N), which can be broken down to kg·m/s². Recall that work is calculated as the product of force and distance, thus the units of work are Newtons times meters or N·m. This combination is called a joule (J), and it is defined as 1 kg·m²/s². Therefore, the correct measurement unit for work is option A) kg·m²/s².

User Usoban
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