Draw a sketch for the problem and solve it. An object is 4 ft from the fulcrum and balances a second object 8 ft from the fulcrum. The first object weighs 64 lb. How much does the second object weighs?
A) 32 lb
B) 37 lb
C) 128 lb
D) 64 lb
E) 42 lb

Question

Quizplus · Accepted Answer

In a balance, the weight on one side is equal to the weight on the other side. We can use the formula:

Weight of object 1 × distance from fulcrum to object 1 = Weight of object 2 × distance from fulcrum to object 2

Substituting the given values, we get:

64 × 4 = Weight of object 2 × 8
Weight of object 2 = (64 × 4)/8 = 32 lb

Therefore, the second object weighs 32 lb. Choice A) is the correct answer.

Draw a Sketch for the Problem and Solve It