A construction crew must use a lever to lift a boulder. The mechanical advantage of the lever is 6 and the lever applies a force of 1600 N to the rock. What is the force that the construction crew must apply to the lever?

The force the construction crew must apply to the lever is 266.67 N

Explanation:

Mechanical advantage is the measure of the ratio of output force to input force in a system. Hence, mechanical advantage (MA) is given by the formula

Where MA is the mechanical advantage

is the output force

and is the input force

From the question, the mechanical advantage of the lever is 6

That is, MA = 6

and the lever applies a force of 1600 N to the rock

That is, Output force, = 1600 N

To determine the force the construction crew must apply to the lever, that is the input force,

From

We can write that

Then,

Hence, the force the construction crew must apply to the lever is 266.67 N.