The battery in an electric car needs to be recharged - AQA - GCSE Physics - Question 8 - 2022 - Paper 1
Question 8
The battery in an electric car needs to be recharged.
Suggest two factors that affect the distance an electric car can travel before the battery needs to be recharg... show full transcript
Worked Solution & Example Answer:The battery in an electric car needs to be recharged - AQA - GCSE Physics - Question 8 - 2022 - Paper 1
Step 1
Suggest two factors that affect the distance an electric car can travel before the battery needs to be recharged.
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Answer
Capacity of the battery.
Speed of the car.
Step 2
Write down the equation which links acceleration (a), change in velocity (Δv) and time taken (t).
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Answer
a=tΔv
Step 3
Calculate the time taken for the speed of the car to change from 0 m/s to 28 m/s at its maximum acceleration.
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Answer
Using the formula for acceleration:
a=tΔv
Substituting the values:
20=t28−0
Rearranging gives:
t = \frac{28}{20} = 1.4 , \text{s}
Step 4
Calculate the final velocity of the car.
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Answer
Using the equation of motion:
v^2 = u^2 + 2as
Here, u = 0 , \text{m/s}, a = 10 , \text{m/s²}, s = 605 , \text{m}.
Substituting the values:
v^2 = 0^2 + 2 \cdot 10 \cdot 605\nv^2 = 12100\nv = 110 , \text{m/s}
Step 5
Write down the equation which links distance (s), force (F) and work done (W).
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Answer
W=F⋅s
Step 6
Calculate the work done against air resistance when the car travels a distance of 7.5 km at its maximum speed.
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Answer
Convert distance into meters: 7.5 km = 7500 m.
Now apply the formula:
W=F⋅s
Substituting the values:
W=4000⋅7500=30000000J
