Fig. 2.1 shows an electric motor lifting a load. The load, of weight 5.0N, is raised through a vertical height of 3.5m at a constant speed. The efficiency of the electric motor is 0.65 (65%).
- (a)Calculate the increase in gravitational potential energy of the load.[2]
- (b)(i)State the formula that relates efficiency, energy input and useful energy output.[1]
- (b)(ii)Calculate the energy input to the motor.[2]
- (c)Suggest one reason why the efficiency of the motor is less than 1.0 (100%).[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [1] (PE =) mgh or Fd or 5 × 3.5
- [1] 17.5 J or 17 J or 18 J
- [1] (efficiency = useful) energy output/energy input in any form but all three quantities must be mentioned if efficiency is not the subject of the equation
- [1] 17.5/0.65 or 17.5/65 or 0.65/65 = (a)/energy input
- [1] 26.9 J or 27 J
- [1] due to friction (in bearings of motor) or due to (electrical) resistance (in motor) or air resistance acts or thermal energy/heat produced/lost (in resistance of motor/due to friction)
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