Mechanical
A 5 kg object is moving at 4 m/s. What is its kinetic energy?
What is 40J?
This element must be present in a molecule for it to be considered organic.
What is Carbon?
A 120-V heater is designed to use a 20-ohm resistor. The power (W) consumed by the heater when in use is:
What is 720 W?
This mathematical concept describes the instantaneous rate of change of a function with respect to one of its variables.
What is the derivative?
If you roll a six-sided die, solve for the probability of rolling a "4".
What is 1/6?
This law states that an object will remain at rest or in uniform motion unless acted upon by an external force.
What is Newton's First Law of Motion?
If 200 kg of water at 20°C is mixed with 100 kg of water at 80°C, solve for the final temperature assuming no heat loss.
What is 40°C?
This law states that the sum of currents entering a junction must equal the sum of currents leaving it.
What is Kirchhoff’s Current Law (KCL)?
Consider the information below about a company's project. (Ignore any time-dependent factors such as interest, inflation, and depreciation)
Initial capital investment: $50,000
Cost to produce each item: $25
Selling price for each item: $40
Production volume:
Year 1: 1,000 units
Year 2: 750 units
Year 3: 750 units
Years 4 and above: 500 units (per year)
The year of production in which the company reaches the end of the payback period for the project is:
What is Year 5?
A series of measurements gave values of 11, 11, 11, 11, 12, 13, 13, 14, for which the arithmetic mean is 12. The standard deviation is (to 2 decimal places):
What is 1.12?
A 4-kg mass with a velocity of 10 m/s travels across a horizontal surface with negligible friction and impacts a stationary 2-kg mass. Assuming that the impact is perfectly elastic, the velocity (m/s) of the 2-kg mass after impact is:
What is 13.33 m/s?
The dimensionless number that represents the ratio of inertial forces to viscous forces in fluid flow
What is the Reynolds number?
This type of learning algorithm is trained on labeled data, where the correct output is provided during training.
What is the area of the region in the first quadrant that is bounded by the line y = 1, the curve x = y3/2 , and the y-axis?
What is 2/5 ?
What is the probability of drawing two aces in a row from a standard deck of 52 cards (without replacing the initial ace drawn)?
What is (1/221) = 0.0045 = 0.45%?
The type of failure caused by repeated cyclic loading
What is fatigue?
This principle states that if a dynamic equilibrium is disturbed by changing the conditions, the position of equilibrium moves to counteract the change.
What is Le Chatelier's Principle?
This term refers to the fundamental unit of quantum information, which can represent both 0 and 1 simultaneously due to superposition.
What is a qubit?
Provide a unit vector that is perpendicular to the plane formed by the vectors A = 2i + 4j and B = i + j - k?
What is (1/(sqrt(6))* [-2i + j - k]? (or the negative of this answer)
This theorem states that as the sample size increases, the distribution of the sample mean will approach a normal distribution.
What is the Central Limit Theorem?
This cycle is used in most power plants and involves four processes: isentropic compression, isobaric heat addition, isentropic expansion, and isobaric heat rejection.
What is the Rankine cycle?
The amount of condensed distillate returned to the top of a distillation column, relative to the amount removed as a product.
What is the reflux ratio?
This set of four equations describes the behavior of electric and magnetic fields and forms the foundation of classical electrodynamics.
What are Maxwell’s equations?
Using Newton’s method to approximate the root of the function f(x)= x3 − 3x + 1 starting with the initial guess x0 = 0.5. Perform 2 iterations (provide answer up to 4 decimal places).
What is 0.3472?
This distribution is used to model the number of events occurring within a fixed interval of time or space when the events happen at a constant mean rate.
What is the Poisson distribution?