Mass, Weight and Density — Numerical Practice
Covers: W = mg, g = W/m, ρ = m/V (and rearrangements), and floating/density comparisons. 16 questions.
A. Weight and Mass
Calculate the weight of a 12 kg object on Earth. (g = 9.8 N/kg)
A box has a weight of 245 N on Earth. Calculate its mass. (g = 9.8 N/kg)
On the Moon, g = 1.6 N/kg. Calculate the weight of a 50 kg object on the Moon.
An object weighs 20 N on a planet where g = 4 N/kg. Calculate its mass.
Explain why an object’s mass stays the same on the Moon as on Earth, while its weight changes.
A 70 kg astronaut has a measured weight of 686 N at their current location. Calculate g at that location, and suggest where they might be.
B. Density
A liquid has a mass of 250 g and a volume of 50 cm³. Calculate its density.
A metal cube has sides of 4 cm and a mass of 320 g. Calculate its density.
An object has a mass of 45 g and a density of 9 g/cm³. Calculate its volume.
A liquid has a density of 0.8 g/cm³. Calculate the mass of 250 cm³ of this liquid.
An empty measuring cylinder has a mass of 30 g. With 40 cm³ of a liquid added, the total mass is 62 g. Calculate the density of the liquid.
A stone is lowered into a measuring cylinder, and the water level rises from 60 cm³ to 85 cm³. The stone has a mass of 100 g. Calculate its density.
A sample of aluminium has a density of 2.7 g/cm³ and a volume of 12 cm³. Calculate its mass.
C. Floating and Comparing Densities
An object has a density of 0.95 g/cm³. Will it float in water (density 1.0 g/cm³)? Explain your answer.
Two immiscible liquids have densities 0.88 g/cm³ and 1.05 g/cm³. State which one floats on top.
An iceberg has a density of 920 kg/m³ and floats in seawater of density 1025 kg/m³. Calculate the fraction of the iceberg’s volume that is submerged.
Mastery Test
Calculate the weight of a 25 kg object on Earth. (g = 9.8 N/kg)
An object weighs 98 N on Earth. Calculate its mass. (g = 9.8 N/kg)
On Mars, g = 3.7 N/kg. Calculate the weight of a 40 kg object on Mars.
Explain why a balance can compare the masses of two objects even though it is technically comparing their weights.
A substance has a mass of 120 g and a volume of 40 cm³. Calculate its density.
An object has a mass of 60 g and a density of 2 g/cm³. Calculate its volume.
A liquid has a density of 1.2 g/cm³. Calculate the mass of 150 cm³ of the liquid.
An empty measuring cylinder has a mass of 25 g. With a liquid added, the total mass is 85 g and the liquid occupies 60 cm³. Calculate the density of the liquid.
Two immiscible liquids have densities 0.92 g/cm³ and 1.15 g/cm³. State which floats on top.
An object has a density of 1.1 g/cm³. Will it float or sink in water (density 1.0 g/cm³)? Explain your answer.
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