Physics Calculations and Formulas

00 g object that occupies 50 cm³? Density = Mass / Volume = 200 g / 50 cm³ = 4 g/cm³ A block has a volume of 150 cm³ and a density of 2.5 g/cm³. What is its mass? Mass = Density \* Volume = 2.5 g/cm³ \* 150 cm³ = 375 g What is the volume of a liquid with a mass of 500 g and a density of 0.8 g/mL...

00 g object that occupies 50 cm³? Density = Mass / Volume = 200 g / 50 cm³ = 4 g/cm³ A block has a volume of 150 cm³ and a density of 2.5 g/cm³. What is its mass? Mass = Density \* Volume = 2.5 g/cm³ \* 150 cm³ = 375 g What is the volume of a liquid with a mass of 500 g and a density of 0.8 g/mL? Volume = Mass / Density = 500 g / 0.8 g/mL = 625 mL If 200 g of salt is dissolved in 2 L of water, what is the concentration in g/L? Concentration = Mass / Volume = 200 g / 2 L = 100 g/L A car travels 240 km in 3 hours. What is its speed? Speed = Distance / Time = 240 km / 3 h = 80 km/h A runner moves 400 m in 50 s. What is their average speed? Speed = Distance / Time = 400 m / 50 s = 8 m/s A plane accelerates from 100 m/s to 200 m/s in 5 seconds. What is its acceleration? Acceleration = (Final Velocity - Initial Velocity) / Time = (200 - 100) / 5 = 20 m/s² An object falls freely for 4 seconds. What is its velocity just before it hits the ground? (g = 9.8 m/s²) Velocity = g \* Time = 9.8 m/s² \* 4 s = 39.2 m/s How long does it take for an object to fall 78.4 m? (g = 9.8 m/s²) Time = √(2 \* Distance / g) = √(2 \* 78.4 / 9.8) = 4 s A cyclist accelerates at 2 m/s² for 5 seconds. If the initial velocity was 10 m/s, what is the final velocity? Final Velocity = Initial Velocity + (Acceleration \* Time) = 10 + (2 \* 5) = 20 m/s A force of 30 N is applied to a 5 kg object. What is its acceleration? Acceleration = Force / Mass = 30 N / 5 kg = 6 m/s² A 10 kg object moves at 5 m/s. What is its momentum? Momentum = Mass \* Velocity = 10 kg \* 5 m/s = 50 kg·m/s A force of 50 N is applied to a 2 kg mass for 3 seconds. What is its impulse? Impulse = Force \* Time = 50 N \* 3 s = 150 Ns An object moves with a velocity of 20 m/s and has a momentum of 100 kg·m/s. What is its mass? Mass = Momentum / Velocity = 100 kg·m/s / 20 m/s = 5 kg A hydraulic lift uses a small piston with an area of 0.01 m² to lift a car with a large piston of 1.5 m². If a force of 100 N is applied to the small piston, what is the force on the large piston? 15,000 N What is the pressure exerted by a 500 N force applied to a 2 m² area? Pressure = Force / Area = 500 N / 2 m² = 250 Pa A tank has a pressure of 2,000 Pa and an area of 5 m². What is the force acting on it? Force = Pressure \* Area = 2,000 Pa \* 5 m² = 10,000 N A 2 kg object at 80°C is dropped into 500 g of water at 20°C. If no heat is lost, what is the final temperature? (Specific heat of object = 0.5 J/g°C, specific heat of water = 4.18 J/g°C) Use: m1c1((Tf-T1) = m2c2(T2-Tf) A resistor has a voltage of 240 V and a current of 5 A. What is its resistance? Resistance = Voltage / Current = 240 V / 5 A = 48 Ω An electric circuit uses 3 A of current and a 10 Ω resistor. What is the voltage? Voltage = Current \* Resistance = 3 A \* 10 Ω = 30 V A device uses 1,500 W of power at 120 V. What is the current? Current = Power / Voltage = 1500 W / 120 V = 12.5 A A 60 W bulb operates at 120 V. What is its resistance? Resistance = Voltage² / Power = (120 V)² / 60 W = 240 Ω A circuit operates with 5 A of current and a resistance of 20 Ω. What is the power output? Power = Current² \* Resistance = (5 A)² \* 20 Ω = 500 W A 240 V appliance draws 10 A of current. How much energy does it use in 5 hours? Energy = Power \* Time = (240 V \* 10 A) \* (5 h \* 3600 s/h) = 43.2 MJ A light wave takes 10 minutes to travel from the Sun to Earth. How far is Earth from the Sun? Distance = Speed \* Time = (3.0 x 10⁸ m/s) \* (10 \* 60 s) = 1.8 x 10⁹ km A wave has a frequency of 500 Hz and a speed of 340 m/s. What is its wavelength? Wavelength = Speed / Frequency = 340 m/s / 500 Hz = 0.68 m A metal block has a density of 8 g/cm³ and a volume of 50 cm³. What is its mass? Mass = Density \* Volume = 8 g/cm³ \* 50 cm³ = 400 g A person exerts a 250 N force on a 1.5 m² surface. What is the pressure exerted? Pressure = Force / Area = 250 N / 1.5 m² = 166.7 Pa A car of mass 1,000 kg is moving at 20 m/s. What is its kinetic energy? Kinetic Energy = (1/2) \* Mass \* Velocity² = (1/2) \* 1000 kg \* (20 m/s)² = 200,000 J A machine does 3,000 J of work in 5 seconds. What is its power output? Power = Work / Time = 3,000 J / 5 s = 600 W