Question

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)

○ 432 n

○ 21,600 n

○ 216 n

○ 1,920 n

Explanation:

Step1: Recall Work-Energy Principle

Work done without lever: \( W_1 = F_1 \times d_1 \), where \( F_1 = 960\,\text{N} \), \( d_1 = 45\,\text{cm} = 0.45\,\text{m} \).

Step2: Work done with lever

Work done with lever: \( W_2 = F_2 \times d_2 \), where \( d_2 = 2\,\text{m} \). By work conservation, \( W_1 = W_2 \).

Step3: Solve for \( F_2 \)

\( 960 \times 0.45 = F_2 \times 2 \)
\( F_2 = \frac{960 \times 0.45}{2} = \frac{432}{2} = 216\,\text{N} \).

Answer:

216 N (corresponding to the option "216 N")