Q: Define density and explain how it is calculated. Provide the formula.

Answer: Density is the mass per unit volume. Formula: Density = Mass / Volume

Q: A cube has a mass of 120 grams and a side length of 4 centimeters. Calculate its density.

Answer: Density = 120 grams / (4 cm * 4 cm * 4 cm) = 1.875 grams/cm³

Q: Explain the concept of pressure in physics and provide its formula.

Answer: Pressure is force applied perpendicular to the surface divided by the area over which the force is distributed. Formula: Pressure = Force / Area

Q: A force of 500 Newtons is applied to an area of 2 square meters. Calculate the pressure exerted.

Answer: Pressure = 500 N / 2 m² = 250 Pascals (Pa)

Q: A cylinder contains 5 liters of gas at a pressure of 3 atmospheres. If the volume is reduced to 2 liters, what will be the new pressure?

Answer: New pressure = 3 atm * (5 L / 2 L) = 7.5 atm

Q: A substance has a density of 2.5 grams per cubic centimeter. What is its density in kilograms per cubic meter?

Answer: Density = 2.5 g/cm³ = 2500 kg/m³

Q: A hydraulic lift has a small piston with an area of 20 square centimeters and a large piston with an area of 200 square centimeters. If a force of 500 Newtons is applied to the small piston, what force will be exerted by the large piston?

Answer: Large piston force = (Area of large piston / Area of small piston) * Force on small piston = (200 cm² / 20 cm²) * 500 N = 5000 N

Q: An object has a weight of 500 Newtons and is placed on a table with a surface area of 0.5 square meters. Calculate the pressure exerted by the object on the table.

Answer: Pressure = 500 N / 0.5 m² = 1000 Pascals (Pa)