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Sample Practice Test Questions
If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how far from the fulcrum would a 70 lbs. force need to be applied to balance the lever?
To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.Solving for db, our missing value, and plugging in our variables yields:
db = \( \frac{R_ad_a}{R_b} \) = \( \frac{20 lbs. \times 1 ft.}{70 lbs.} \) = \( \frac{20 ft⋅lb}{70 lbs.} \) = 0.29 ft.
__________ are made with wide gap coils of rigid steel cable and both hold the vehicle chassis up off the ground and absorb energy from wheel movement making for a smoother ride.
suspension springs
Suspension springs are made with wide gap coils of rigid steel cable and both hold the vehicle chassis up off the ground and absorb energy from wheel movement making for a smoother ride.
What is the least common multiple of 6 and 12?
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 have in common.
Solve for c:
c2 + 6c - 13 = -c + 5
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
c2 + 6c - 13 = -c + 5
c2 + 6c - 13 - 5 = -c
c2 + 6c + c - 18 = 0
c2 + 7c - 18 = 0
Next, factor the quadratic equation:
c2 + 7c - 18 = 0
(c - 2)(c + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 2) or (c + 9) must equal zero:
If (c - 2) = 0, c must equal 2
If (c + 9) = 0, c must equal -9
So the solution is that c = 2 or -9
__________ and __________ pair to strengthen bones.
vitamin D, calcium
Vitamin D helps calcium strengthen bones while also aiding muscle, nerve, and immune system function.
Which of the following enables heat transfer from the cylinder heads to the coolant?
water jacket
A water jacket is a coolant-filled casing that allows heat transfer from the engine block and cylinder heads to the liquid coolant.
The angle of reflection is equal to which the following?
angle of incidence
The law of reflection specifies how waves, including light waves, bounce off of surfaces. Specifically, the angle of incidence of the approaching wave is equal to the angle of reflection of the reflected wave as measured from a line perpendicular (90°) to the surface.
Which of the following is the narrowest classification of life?
species
The narrowest classification of life, species, contains organisms that are so similar that they can only reproduce with others of the same species.