ASVAB Mechanical Comprehension Practice Test 926692 Results

Your Results Global Average
Questions 5 5
Correct 0 3.05
Score 0% 61%

Review

1

Power is the rate at which:

62% Answer Correctly

friction is overcome

work is done

potential energy is converted into kinetic energy

input force is transferred to output force


Solution

Power is the rate at which work is done, P = w/t, or work per unit time. The watt (W) is the unit for power and is equal to 1 joule (or newton-meter) per second. Horsepower (hp) is another familiar unit of power used primarily for rating internal combustion engines. 1 hp equals 746 watts.


2 The radius of the axle is 3, the radius of the wheel is 6, and the blue box weighs 40 lbs. What is the effort force necessary to balance the load?
53% Answer Correctly
8 lbs.
20 lbs.
12 lbs.
6 lbs.

Solution

The mechanical advantage of a wheel and axle is the input radius divided by the output radius:

MA = \( \frac{r_i}{r_o} \)

In this case, the input radius (where the effort force is being applied) is 6 and the output radius (where the resistance is being applied) is 3 for a mechanical advantage of \( \frac{6}{3} \) = 2.0

MA = \( \frac{load}{effort} \) so effort = \( \frac{load}{MA} \) = \( \frac{40 lbs.}{2.0} \) = 20 lbs.


3 If the green arrow in this diagram represents 800 ft⋅lb of work, how far will the box move if it weighs 160 pounds?
72% Answer Correctly
5 ft.
640 ft.
10 ft.
2 ft.

Solution
The Law of Work states that the work put into a machine is equal to the work received from the machine under ideal conditions. In equation form, that's:

Win = Wout
Feffort x deffort = Fresistance x dresistance

In this problem, the effort work is 800 ft⋅lb and the resistance force is 160 lbs. and we need to calculate the resistance distance:

Win = Fresistance x dresistance
800 ft⋅lb = 160 lbs. x dresistance
dresistance = \( \frac{800ft⋅lb}{160 lbs.} \) = 5 ft.


4

A box is resting on a smooth floor. Static friction is present:

59% Answer Correctly

when an attempt is made to move the box

at all times

only if normal force is present

if the coefficient of friction is greater than one


Solution

For any given surface, the coefficient of static friction is higher than the coefficient of kinetic friction. More force is required to initally get an object moving than is required to keep it moving. Additionally, static friction only arises in response to an attempt to move an object (overcome the normal force between it and the surface).


5

Which of the following will increase the mechanical advantage of this inclined plane?

59% Answer Correctly

lengthen the ramp

shorten the ramp

lower the force acting at the blue arrow

increase the force acting at the blue arrow


Solution

The mechanical advantage (MA) of an inclined plane is the effort distance divided by the resistance distance. In order to increase mechanical advantage, this ratio must increase which means making the effort distance longer and this can be accomplished by lengthening the length of the ramp.