Question

The weight needed to balance a lever varies inversely with the distance

from the fulcrum to the weight. A 120-lb weight is placed on a lever, 5 ft from the fulcrum. What amount of weight should be placed 8 foot from the fulcrum to be balanced.
A). 120
B). 75
C). 8
D). 125
i think, not 100% sure, like 90% sure, it's B. 75.

Answer 1

B

Explanation:

i just know

Answer 2

Let w represents the weight and d represents the distance.

It is given that

The weight needed to balance a lever varies inversely with the distance from the fulcrum to the weight. A 120-lb weight is placed on a lever, 5 ft from the fulcrum.

`w = (k)/(d)`

Substituting the values of w and d, we will get

`120= (k)/(5) \\ k =600lb \ ft`

Using the value of k which is 600, with the above equation and the given value of d which is 8, we will get

`w = (600)/(8) = 75lb`

Therefore the correct option is B .