An electric car is travelling at a speed of 16.0 m/s - Edexcel - GCSE Physics Combined Science - Question 5 - 2023 - Paper 2

To find the time taken for the battery to discharge, we can use the formula:

$t = \frac{E}{P}$

where:

• $E$ is the energy transferred (126 MJ = 126 \times 10^6 , \text{J})
• $P$ is the power rate (17.5 kW = 17500 , \text{W})

Substituting the values into the formula:

$t = \frac{126 \times 10^6}{17500}$

Calculating:

$t \approx 7200 \, \text{s}$

To convert seconds to hours:

$t \approx \frac{7200}{3600} = 2 \, \text{hours}$

Thus, the time taken for the battery to become discharged is 2 hours.