Gardeners would need to use 960 Newtons of force to lift a potted tree 45 centimeters onto a deck. Instead, they set up a lever. If they press the lever down 2 meters, how much force do they use to lift the tree? (1 point)
To solve this problem, we can use the principle of mechanical advantage of levers. The formula is given as:
Input force x Input distance = Output force x Output distance
In this case, the input force is the force applied to press down the lever (unknown), the input distance is 2 meters, the output force is 960 Newtons, and the output distance is 45 centimeters or 0.45 meters.
So, we can substitute these values into the formula:
Input force x 2 meters = 960 Newtons x 0.45 meters
Simplifying the equation:
Input force = (960 Newtons x 0.45 meters) / 2 meters
Input force = 216 Newtons
Therefore, the gardeners use 216 Newtons of force to lift the tree using the lever.