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

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

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

Answer: Use the formula: Density = Mass / Volume: ans = 1.875 grams/cm³

Advanced: 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

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

Answer: Use the formula: Pressure = Force / Area: ans = 250 Pascals

Advanced: 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: Use Boyle's Law: Pressure1 × Volume1 = Pressure2 × Volume2: ans = 7.5 atm

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

Answer: Convert grams to kilograms and centimeters to meters to find the density in kg/m³.: ans = 0.0025 kg/cm³.

Challenge: 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: Use the principle of Pascal's law: Pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid.: ans =5 000 N.

Challenge: 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: Use the formula: Pressure = Force / Area: ans = 1000 Pascals (Pa)