One knife is longer from the cutting edge to the back of the blade. It's easier to push the longer knife through a pear and more surface is in contact with the pear. Why is this an example of mechanical advantage?

a. the juices of the pear help the knife slide through

b. the longer the knife, the stronger the output force

c. the knife changes the downward force into a sideways force

d. not enough information to tell

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aristocles aristocles · Answer 1 · 2019-01-29T03:06:01+01:00

By the formula of torque balance we know that

[tex]\tau = r\times F[/tex]

here we know that

r = distance of force

F = applied force

so here we know that as we will take large edge knife then the distance of force will increase

due to this the torque will also increase in it so it is easy to pear it

So here we can say

[tex]F_{in}r_1 = F_{out}r_2[/tex]

[tex]F_{out} = \frac{r_1}{r_2} F_{in}[/tex]

so output force will increase in this case

So here the correct answer would be

b. the longer the knife, the stronger the output force