Question

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? if the input force is less than the output force, then the input distance must be greater than the output distance. if the input force is greater than the output force, then the input distance must be greater than the output distance. if the input force is less than the output force, then the input distance must be greater than the output distance. if the input force is equal to the output force, then the input distance must be the same as the output distance.

Explanation:

In machines, work is conserved (neglecting friction). Work is calculated as force times distance ($W = F\times d$). If the input force is less than the output force, to keep the work - input equal to work - output, the input distance must be greater than the output distance.

Answer:

If the input force is less than the output force, then the input distance must be greater than the output distance.