select the correct answer.\nthe amount of force, f, needed to lift an object using a lever varies inversely…

select the correct answer.\nthe 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?\na. 120 pounds\nb. 160 pounds\nc. 252 pounds\nd. 360 pounds

select the correct answer.\nthe 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?\na. 120 pounds\nb. 160 pounds\nc. 252 pounds\nd. 360 pounds

Answer

Answer:

B. 160 pounds

Explanation:

Step1: Establish inverse - variation formula

$F_1l_1 = F_2l_2$

Step2: Substitute known values

$240\times24=F_2\times36$

Step3: Solve for $F_2$

$F_2=\frac{240\times24}{36}=160$