IB Physics HL B 1 2 Density Questions

Practise HL density calculations for fluids, icebergs, astrophysics and mass flow using supplied data in exam questions.

Exam points

use density with cosmological, biological and fluid-system data to calculate mass, energy density or flow
analyse water’s density maximum and iceberg buoyancy with density ratios, temperature and mass calculations
model mass flow from density, area, speed and time, then check the dimensions of each derived quantity

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Study B.1.2—Density conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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A cylindrical spacecraft of cross-sectional area S moves with velocity v. The spacecraft enters a region of dust of density $\rho$ . All the dust that comes into contact with the forward cross-sectional area of the spacecraft sticks to the spacecraft increasing its mass.

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Show that in time $\Delta t$ the mass of the spacecraft will increase by an amount $\rho \operatorname{Sv} \Delta t$ .

Identifies length of cylinder as $v \Delta t$ so volume as $S \times v \times \Delta t$ to show the result

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IB Physics HL B 1 2 Density Questions question 1