Algebra Word Problem Lever Problems

The video tutorial covers the concept of levers and their application in solving balance problems. It explains the physics behind balancing a seesaw using the principle that the product of weight and distance from the fulcrum must be equal on both sides. The tutorial includes several example problems, such as balancing weights on a seesaw, using a lever to move a rock, and determining the optimal placement of a fulcrum. Each problem is solved step-by-step, emphasizing the importance of drawing diagrams and checking calculations for consistency.

What is a lever in the context of physics?

• A type of pulley system

• A type of inclined plane

• A flat surface with a pivot point

• A rotating wheel

What is the term used for the pivot point of a lever?

• Node

• Center

• Axis

• Fulcrum

In a balanced seesaw, what must be true about the products of weight and distance on either side?

• They must be negative

• They must be equal

• They must be different

• They must be zero

If John weighs 80 pounds and sits 4 feet from the fulcrum, how far should Sally, who weighs 100 pounds, sit to balance the seesaw?

• 4 feet

• 5 feet

• 2.8 feet

• 3.2 feet

A 10-pound weight is 8 inches from the fulcrum. How much weight should be placed 20 inches from the fulcrum to balance the lever?

• 8 pounds

• 2 pounds

• 4 pounds

• 6 pounds

What is the force required to move a 60-pound rock using a lever, if the rock is 3 feet from the fulcrum and the force is applied 5 feet from the fulcrum?

• 45 pounds

• 30 pounds

• 60 pounds

• 36 pounds

Why does a longer lever require less force to move a heavy object?

• Because it reduces the weight of the object

• Because it increases the distance over which the force is applied

• Because it changes the object's center of gravity

• Because it decreases the object's mass

Where should the fulcrum be placed under a 6-foot lever with a 24-pound weight on one end and a 36-pound weight on the other to balance it?

• 2 feet from the 24-pound weight

• 3 feet from the 24-pound weight

• 3.6 feet from the 24-pound weight

• 4 feet from the 24-pound weight

What is the relationship between L1 and L2 in a balanced lever if the total length is 6 feet?

• L1 / L2 = 6

• L1 + L2 = 6

• L1 - L2 = 6

• L1 * L2 = 6

What is the main advantage of using a lever to move heavy objects?

• It reduces the object's weight

• It allows the application of force over a longer distance

• It changes the object's shape

• It increases the object's mass