15a. [1 mark) A girl rides a bicycle that is powered by an electric motor. A...
15a. [1 mark ]
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 m s' 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 × 10' s.
15b. [2 marks]
Deduce that the average power output of the battery is about 240W.
15c. [2 marks]
Friction and air resistance act on the bicycle and the girl when they move. Assume that all the energy is transferred from the battery to the electric motor. Determine the total average resistive force that acts on the bicycle and the girl.
15d. [1 mark]
The bicycle and the girl have a total mass of 66 kg. The girl rides up a slope that is at an angle of 3.0° to the horizontal.
Calculate the component of weight for the bicycle and girl acting down the slope.
15e. [2 marks]
The battery continues to give an output power of 240 W. Assume that the resistive forces are the same as in (a)(iii).
Calculate the maximum speed of the bicycle and the girl up the slope.
15f. [2 marks]
On another journey up the slope, the girl carries an additional mass. Explain whether carrying this mass will change the maximum distance that the bicycle can travel along the slope.
15g. [2 marks]
The bicycle has a meter that displays the current and the terminal potential difference (pd) for the battery when the motor is running. The diagram shows the meter readings at one instant. The emf of the cell is 16 V.
Determine the internal resistance of the battery.
15h. [1 mark]
The battery is made from an arrangement of 10 identical cells as shown.
Calculate the emf of one cell.
15i. [2 marks]
Calculate the internal resistance of one cell.
Homework Answers
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