A car starts from rest and accelerates uniformly at 2 m/s² for 5 seconds. What is the final velocity of the car?
v = 10 m/s
Convert 25°C to Kelvin.
TK = 298 K
A radioactive isotope has a half-life of 5 years. If the initial sample has 200 grams, how much will remain after 15 years?
N = 25 g
What gas do plants absorb from the atmosphere during photosynthesis?
Carbon dioxide
A circuit has a voltage of 12 V and a resistance of 4 Ω. What is the current flowing through the circuit?
I = 3 A
A wave travels with a speed of 300 m/s and has a frequency of 150 Hz. What is the wavelength of the wave?
λ = 2 m
What is the capital city of France?
Paris
A ball is thrown vertically upwards with an initial velocity of 20 m/s. Calculate the time it takes to reach its highest point.
t = ~ 2s
How much heat energy is required to raise the temperature of 2 kg of water from 20°C to 50°C?
Q = 250 800 J
A nuclear reaction results in a mass defect of 0.002 kg. Calculate the amount of energy released during this reaction.
E = 1.8 x 1014 J
Which planet is known as the "Red Planet"?
Mars
Calculate the power dissipated in a resistor of 5 Ω when a current of 3 A flows through it.
P = 45 W
An open-end pipe has a length of 1.5 m. What is the fundamental frequency of the pipe if the speed of sound is 340 m/s?
f = ~ 113.33 Hz
What is the name of the fictional African country in the movie "Black Panther"?
Wakanda
A runner starts from rest and accelerates uniformly to a velocity of 8 m/s in 4 seconds. How far does the runner travel in this time?
s = 16 m
A kettle uses 960,000 J of energy to heat 1.5 kg of water from 20°C to 100°C. If the energy efficiency of the kettle is 80%, how much energy is wasted?
192 000 J wasted
A radioactive substance decays following the equation N=N0×e−λt, where λ is the decay constant. If the half-life is 8 hours, calculate the decay constant λ, and determine how long it takes for 90% of the material to decay.
λ = 0.086625 hours-1
t = ~ 26.58 hours
What subatomic particle has a negative charge?
Electron
Three resistors of 4 Ω, 6 Ω, and 12 Ω are connected in parallel. Calculate the total current when connected to a 24 V supply.
Itotal = 12 A
Light passes from air (n = 1.00) into water (n = 1.33). If the angle of incidence is 30°, what is the angle of refraction?
θ2 ≈ 22.1°
Which classical composer became deaf later in life but continued to compose music?
Ludwig van Beethoven
A 1000 kg car is traveling at 25 m/s when the driver applies the brakes, bringing the car to a stop in 50 meters. Calculate the braking force applied to the car.
F = 6250 N
A heater has a power rating of 1500 W. How much time does it take for the heater to raise the temperature of 1.2 kg of water from 15°C to 95°C?
t = 267.52 s = ~ 4.46 minutes
In a nuclear fusion reaction, two deuterium nuclei combine to form a helium-3 nucleus and a neutron. The mass of the reactants (deuterium) is 4.028 u, and the mass of the products (helium-3 and neutron) is 4.002 u. Calculate the energy released in the reaction (1 amu = 1.66 × 10⁻²⁷ kg, c=3×108).
E = 3.8844 x 10-12 J
What is the name of the process by which a liquid turns into vapor?
Evaporation
In a series circuit with a total voltage of 30 V and three resistors (10 Ω, 20 Ω, and 30 Ω), calculate the voltage drop across each resistor.
Rtotal = 60 Ω
I = 0.5 A
V across 10 Ω = 5 V
V across 20 Ω = 10 V
V across 30 Ω = 15 V
Calculate the critical angle for light traveling from water (n = 1.33) to air (n = 1.00).
θc ≈ 48.6°
What does the acronym "HTTP" stand for in web addresses?
Hypertext Transfer Protocol
A 5 kg object moving at 15 m/s collides with a stationary object of mass 10 kg. If the two objects stick together after the collision, what is their combined velocity immediately after the collision?
v = 5 m/s
Calculate the total energy needed to convert 1 kg of ice at -10°C to steam at 120°C.
Q = 3 072 500 J = 3.0725 MJ
A star's core converts 4.3 × 10⁹ kg of hydrogen into helium every second, with a mass defect of 0.7%. Calculate the energy released by the star per second due to mass defect.
E = 2.709 x 1024 J
In physics, what is the term for the rate of change of velocity?
Acceleration
A circuit has two resistors, 5 Ω and 10 Ω, in series with a 15 V battery. Then, in parallel with this combination, there is a 3 Ω resistor. Calculate the total current flowing from the battery.
A closed-end pipe resonates at its third harmonic. If the speed of sound in air is 340 m/s and the pipe length is 2 m, what is the frequency of the third harmonic?
f3 = 63.75 Hz
What ancient civilization is known for creating a system of writing called cuneiform?
The Sumerians