QUESTION IMAGE
Question
which one of the following is the most appropriate word to fill in the blank less, more an inclined plane increases the distance that the user needs to move an object, so force is needed to move an object uphill.
Step1: Analyze the principle of inclined plane
An inclined plane is a simple machine. According to the work - energy principle \(W = F\times d\) (work equals force times distance). When moving an object uphill, the work done against gravity (assuming no friction for simplicity) is \(W = mgh\) (where \(m\) is mass, \(g\) is acceleration due to gravity, and \(h\) is height).
If the distance \(d\) (along the inclined plane) is increased compared to the vertical height \(h\) (the case without an inclined plane, where \(d = h\) conceptually), and the work \(W\) (which depends on \(mgh\)) remains the same (assuming the object is moved to the same height).
From \(W = F\times d\), if \(W\) is constant and \(d\) increases, then \(F=\frac{W}{d}\) will decrease.
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