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Sample Practice Test Questions
The formula \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) applies to which of Newton's laws?
universal gravitation
Newton's law of universal gravitation defines gravity: All objects in the universe attract each other with an equal force that varies directly as a product of their masses, and inversely as a square of their distance from each other. Expressed as a formula: \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) where r is the distance between the two objects and G is the gravitational constant with a value of 6.67 x 10-11.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%
Which of the following is the formula for gravitational potential energy?
\(PE = mgh\)
Gravitational potential energy is energy by virtue of gravity. The higher an object is raised above a surface the greater the distance it must fall to reach that surface and the more velocity it will build as it falls. For gravitational potential energy, PE = mgh where m is mass (kilograms), h is height (meters), and g is acceleration due to gravity which is a constant (9.8 m/s2).
The vehicle's computer system gets data from:
sensors
Sensors provide the data necessary for the vehicle's computer to make decisions and monitor everything from simple vehicle information like tire pressure to complexities like the chemical content of an engine's exhaust.
Work is measured in:
joules or newton-meters
Work is performed on an object when an applied force causes displacement along the same vector. Measured in joules (J) or newton-meters (Nm), work is calculated by multiplying force times displacement: \(W = \vec{F}\vec{d}\)
Small rocks shed by asteroids and comets that reach the earth are called:
meteorites
Smaller rocks shed by asteroids and comets are called meteoroids. When these rocks reach Earth's atmosphere, they burn up in the mesosphere and become meteors. If a meteor manages to reach the Earth, it is called a meteorite.
Solve 3a + 2a = 9a - 9y + 8 for a in terms of y.
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
3a + 2y = 9a - 9y + 8
3a = 9a - 9y + 8 - 2y
3a - 9a = -9y + 8 - 2y
-6a = -11y + 8
a = \( \frac{-11y + 8}{-6} \)
a = \( \frac{-11y}{-6} \) + \( \frac{8}{-6} \)
a = 1\(\frac{5}{6}\)y - 1\(\frac{1}{3}\)
In the heart, blood flows from the right __________ to the lungs then back to the heart via the left __________.
ventricle, atrium
The two largest veins in the body, the venae cavae, pass blood to the right ventricle which pumps the blood to the lungs through the pulmonary artery. Blood picks up oxygen in the lungs and returns it to the left atrium via the pulmonary vein.
Which of the following is not a function of antifreeze?
lubricates the cooling system
Modern car engines are cooled by liquid which circulates through the engine block and cylinder heads absorbing excess heat. This liquid is made up of half water and half antifreeze (commonly, ethylene glycol) which both keeps the water from freezing at low temperatures and raises its boiling point making heat transfer more efficient.