Question

1. a lever is being used to try to lift a heavy object, but it is not working. which of these actions would increase the output force the most? (1 point) increase the input force and increase the output displacement. decrease the input force and increase the output displacement. increase the input force and decrease the output displacement. decrease the input force and decrease the output displacement.

Explanation:

The principle of a lever is based on the formula \(F_1\times d_1 = F_2\times d_2\) (where \(F_1\) is input force, \(d_1\) is input distance, \(F_2\) is output force, \(d_2\) is output distance). To increase \(F_2\) (output force), we can increase \(F_1\) (input force). Also, from the formula \(F_2=\frac{F_1\times d_1}{d_2}\), decreasing \(d_2\) (output displacement) while keeping other factors in mind (assuming \(d_1\) is constant or changes in a way that the ratio \(\frac{d_1}{d_2}\) is optimized) will increase \(F_2\) more effectively compared to increasing \(d_2\) (because if \(d_2\) increases, for a given \(F_1\times d_1\), \(F_2\) will decrease).

Answer:

Increase the input force and decrease the output displacement.