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Some students carry out investigations with an electric motor - Edexcel - GCSE Physics - Question 1 - 2012 - Paper 1

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Some students carry out investigations with an electric motor. (a) Complete the sentence by putting a cross (X) in the box next to your answer. The students read t... show full transcript

Worked Solution & Example Answer:Some students carry out investigations with an electric motor - Edexcel - GCSE Physics - Question 1 - 2012 - Paper 1

Step 1

Complete the sentence.

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Answer

The statement best describes the idea of D conservation of energy, as it refers to the concept where energy is neither created nor destroyed, but transforms from one form to another.

Step 2

Calculate the input power to the motor.

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Answer

To calculate the input power (P) to the motor, we use the formula:

P=VimesIP = V imes I

where:

  • V = voltage = 6 V
  • I = current = 0.5 A

Thus, the input power is:

P=6extVimes0.5extA=3extWP = 6 ext{ V} imes 0.5 ext{ A} = 3 ext{ W}

The unit of power is Watts (W).

Step 3

How much energy is wasted?

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Answer

To find the wasted energy, we subtract the energy transferred to the weight from the input energy:

Wasted energy=Input energyEnergy transferred\text{Wasted energy} = \text{Input energy} - \text{Energy transferred}

Wasted energy=200extJ50extJ=150extJ\text{Wasted energy} = 200 ext{ J} - 50 ext{ J} = 150 ext{ J}

Step 4

Calculate the efficiency of the motor.

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Answer

Efficiency (η) can be calculated using the formula:

η=Useful energy outputTotal energy input×100η = \frac{\text{Useful energy output}}{\text{Total energy input}} \times 100

Substituting the known values:

η=50extJ200extJ×100=25%η = \frac{50 ext{ J}}{200 ext{ J}} \times 100 = 25\%

Thus, the efficiency of the motor is 25%.

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