Gardeners would need to use 960 N newtons of forced to lift a potted tree 45 cm into a deck. Instead they set up a lever if they press the lever down 2 m how much force do they use to lift the tree.
To find the force needed to lift the tree using the lever, we can use the concept of leverage. The principle of the lever states that the force exerted on one end of the lever is equal to the force exerted on the other end, multiplied by the ratio of their respective distances from the pivot point (fulcrum).
Let's denote the force exerted on the lever as F_l and the distance of the force from the pivot point as d_l. The force needed to lift the tree is given as 960 N, and the distance the tree needs to be lifted is 45 cm or 0.45 m.
According to the principle of leverage, we have:
Force exerted on the lever (F_l) * Distance from pivot point (d_l) = Force needed to lift the tree (960 N) * Distance to lift the tree (0.45 m)
F_l * 2 m = 960 N * 0.45 m
Simplifying the equation, we find:
F_l * 2 = 432
F_l = 432 / 2
F_l = 216 N
Therefore, the gardeners would need to exert a force of 216 N to lift the tree using the lever.