Question

Select the correct answer. The amount of force, F, needed to lift an object using a lever varies inversely as the length, l, of the lever. When a 24-inch lever is used, a force of 240 pounds is needed. How much force is needed if a 36-inch long lever is used? A. 120 pounds B. 160 pounds C. 252 pounds D. 360 pounds

Answer 1

The force needed to lift an object using a lever varies inversely as the length of the lever. Using this relationship and the given information, we can find the force needed for a 36-inch long lever.

Step-by-step explanation:

According to the given information, the force needed to lift an object using a lever varies inversely as the length of the lever. So, we can set up an equation:

F ∝ 1/l

Using the values given, we can solve for the constant of variation:

F = k/l

240 = k/24

Solving for k, we get k = 5760

Now, we can use this constant to find the force needed for the 36-inch long lever:

F = 5760/36

= 160 pounds