What is the mathematical relationship between force and work?(1 point)
Responses
W=F/d
W=F×a
W=F×d
W×d=F
W=F×d
The correct mathematical relationship between force and work is given by the equation W = F × d, where W represents work, F represents force, and d represents displacement.
To understand how this relationship is derived, we can break it down into its basic components.
1. Work (W) is defined as the product of force (F) and displacement (d) in the direction of the force. In other words, work is done when a force is applied to an object and it is displaced in the direction of that force.
2. Force (F) is a measure of the push or pull applied to an object. It is usually measured in Newtons (N).
3. Displacement (d) represents the change in position of an object as a result of a force being applied to it. It is usually measured in meters (m) or other appropriate units of length.
By multiplying force (F) and displacement (d), we obtain the work done (W) on an object. The units of work are typically measured in joules (J), which is equivalent to a Newton-meter.
So, to calculate the work done on an object, you can use the formula W = F × d by substituting the appropriate values for force and displacement.
The correct mathematical relationship between force and work is W = F × d.
Here, W represents work, F represents the force applied, and d represents the displacement or distance over which the force is applied.