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Chapter 8: Q. 501 (page 1020)

The force needed to break a board varies inversely with its length. If Tom uses 20pounds of pressure to break a 1.5-foot long board, how many pounds of pressure would he need to use to break a 6foot long board?

Short Answer

Expert verified

5pounds of pressure will be used to brake 6foot long board.

Step by step solution

01

Step 1. Given Information. 

The given relation state that the force needed to break a board varies inversely with its length.

a 1.5foot long board is broken by using 20pounds of pressure.

The given length of the board is role="math" localid="1647968191953" 6foot.

02

Step 2. The equation for the given relation.

The force needed to break a board varies inversely with its length.

Consider p=pressure.

l=length of the board.

Use inverse variation formula to obtain the equation.

p=kl

Substitute p=20&l=1.5in the equation.

role="math" localid="1647968581390" 20=k1.520脳1.5=kk=30

Substitute Value of K in the equation.

p=30l

03

Step 3. Determine pressure.

Substitute l=6in the equation.

p=30lp=306p=5

so 5pounds of pressure will be used to brake6foot long board.

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