IB Physics HL S1.3.1 General Mathematics Questions

Apply HL mathematical reasoning to physics data, using ratios, powers, rearranged equations and orders of magnitude in exam calculations.

Exam points

use proportional reasoning, powers and orders of magnitude to compare physical quantities such as area, volume and power
rearrange and substitute into physics equations, tracking variables, exponents and units accurately
estimate numerical scales and select a sensible answer from ratios, prefixes and powers of ten

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Study S1.3.1—General mathematics conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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A girl rides a bicycle that is powered by an electric motor. A battery transfers energy to the electric motor. The emf of the battery is 16 V and it can deliver a charge of 43 kC when discharging completely from a full charge.

The maximum speed of the girl on a horizontal road is $7.0 \mathrm{~m} \mathrm{~s}^{-1}$ with energy from the battery alone. The maximum distance that the girl can travel under these conditions is 20 km .

Show that the time taken for the battery to discharge is about $3 \times 10^{3} \mathrm{~s}$ .

time taken $\frac{2.0 \times 10^{4}}{7} \boldsymbol{<} \boldsymbol{=} \mathbf{2 8 6 0} \boldsymbol{\mathrm { s }} \boldsymbol{>} \boldsymbol{>} \boldsymbol{=} \mathbf{2 9 0 0} \boldsymbol{<} \boldsymbol{\mathrm { s }} \boldsymbol{>} \boldsymbol{>} \boldsymbol{}$

Must see at least two s.f.

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IB Physics HL S1.3.1 General Mathematics Questions question 1