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?

Question

A. 21,600 N

B. 216 N

Answer 1

The formula for calculating force in a lever system is Force1 x Distance1 = Force2 x Distance2.

Given:
Force1 = 960 N
Distance1 = 2 m
Distance2 = 45 cm = 0.45 m

Now we can substitute the values into the formula:

960 N x 2 m = Force2 x 0.45 m
1920 N = 0.45 Force2
Force2 = 1920 N / 0.45
Force2 = 4266.67 N

Therefore, the gardeners use 4266.67 N of force to lift the potted tree onto the deck.

So the closest option would be:
A. 21,600 N