While researching machines and how they work, Tika finds several online sites that discuss how force and distance are related to work done by a machine. How should Tika most likely describe this relationship between force and distance to her study group?
Answer
A
If the input force is less than the output force, then the input distance must be greater than the output distance.
B
If the input force is less than the output force, then the input distance must be the same as the output distance.
C
If the input force is equal to the output force, then the input distance must be greater than the output distance.
D
If the input force is greater than the output force, then the input distance must be greater than the output distance.
Explanation
For an ideal machine, the work put in equals the work done out: force × distance is balanced on both sides. So when the input force is smaller than the output force, the input must act over a greater distance to provide the same work. This matches choice D, which says the input distance must be greater than the output distance.
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