IB Physics HL 6.3.1 General mathematics Question Bank

Practise IB Physics SL/HL 6.3.1 by applying general mathematics concepts to exam-style physics questions.

Exam points

identify the relevant physical quantity, model or diagram
apply the correct equation and units to the evidence
justify the result using conservation laws, fields or energy relationships

[Maximum number: 1]

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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S1.3.1—General mathematics question 1