Question

a wedge is a simple machine that is essentially two inclined planes. it is used to separate objects, such as in the head of an axe. the mechanical advantage of a wedge is given by ( ma=\frac{l}{t} ), where ( l ) is the length of the wedge and ( t ) is the thickness. which of these designs produces the highest mechanical advantage? (1 point) a length of 16 in. and a thickness of 4 in. a length of 5 in. and a thickness of 5 in. a length of 6 in. and a thickness of 2 in. a length of 12 in. and a thickness of 2 in.

Explanation:

Step1: Calculate MA for first option

Given \(L = 16\) in and \(t=4\) in. Using \(MA=\frac{L}{t}\), we have \(MA=\frac{16}{4}=4\).

Step2: Calculate MA for second option

Given \(L = 5\) in and \(t = 5\) in. Using \(MA=\frac{L}{t}\), we have \(MA=\frac{5}{5}=1\).

Step3: Calculate MA for third option

Given \(L = 6\) in and \(t=2\) in. Using \(MA=\frac{L}{t}\), we have \(MA=\frac{6}{2}=3\).

Step4: Calculate MA for fourth option

Given \(L = 12\) in and \(t = 2\) in. Using \(MA=\frac{L}{t}\), we have \(MA=\frac{12}{2}=6\).

Answer:

A length of 12 in. and a thickness of 2 in.