If W=F×d, which of the following equations shows work being calculated using the correct units?
W = F × d (N × m)
The formula for work, W, is given by W = F × d, where F is the force applied and d is the distance over which the force is applied. To calculate work, both the force and distance should be expressed in their appropriate units.
Therefore, the correct equation for calculating work with the right units would be:
W (in Joules) = F (in Newtons) × d (in meters)
To calculate work, we use the equation W = F × d, where W represents work, F represents force, and d represents distance.
When it comes to units, work is typically measured in joules (J), force is measured in newtons (N), and distance is measured in meters (m). Therefore, we need to ensure that the equation for work includes these units correctly.
Let's go through the answer choices to determine which equation contains the correct units:
A) W = N × m: This equation shows the correct units. Work (W) is measured in joules (J), which is Newtons (N) times meters (m). Therefore, this equation is correct.
B) W = kg × m^2/s^2: This equation does not represent the correct units. The units of this equation represent energy, not work. The correct equation for energy is E = kg × m^2/s^2. So, this equation is incorrect for calculating work.
C) W = s × m: This equation is incorrect. The units of work are Joules (J), not seconds (s).
D) W = N × s: This equation is incorrect. The units of work are Joules (J), not Newton-seconds (N × s).
Therefore, the equation that correctly shows work being calculated with the appropriate units is A) W = N × m.