QUESTION IMAGE
Question
a machine makes work easier by doing all of the following, except
changing the force.
changing the direction.
changing the distance.
changing the acceleration.
question #9
if the radius of a doorknob is 4.5 cm and the radius of its inner rod is 0.5 cm, what is the mechanical advantage of the doorknob?
9.0
0.11
0.5
2.25
First question
Machines make work easier by changing force, direction, or distance. They do not directly change acceleration to make work easier.
Step1: Recall mechanical - advantage formula for wheel - and - axle
The mechanical advantage (MA) of a wheel - and - axle (a doorknob is an example of a wheel - and - axle) is given by the ratio of the radius of the wheel ($R$) to the radius of the axle ($r$), i.e., $MA=\frac{R}{r}$.
Step2: Identify values of $R$ and $r$
Here, $R = 4.5$ cm (radius of the doorknob) and $r=0.5$ cm (radius of the inner rod).
Step3: Calculate mechanical advantage
$MA=\frac{4.5}{0.5}=9$
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