An electric car accelerates for 7.2 s by drawing energy from its 430-V battery pack. During this time, 1700 C of charge pass through the battery pack. Find the minimum power rating of the car.
To find the minimum power rating of the car, we can use the formula:
Power = Work / Time
First, let's find the work done on the car. We know that work is defined as the product of force and displacement:
Work = Force * Displacement
In this case, the force is related to the charge passing through the battery pack, voltage, and time. The charge passing through the battery pack can be calculated using the formula:
Charge = Current * Time
We can rearrange the formula to find the current passing through the battery pack:
Current = Charge / Time
Substituting the given values into the formula:
Current = 1700 C / 7.2 s
Current ≈ 236.11 A
Next, we can calculate the force:
Force = Current * Voltage
Force = 236.11 A * 430 V
Force ≈ 101527.3 N
Now, let's find the displacement of the car. To do this, we need to know the mass of the car and the time it takes to accelerate. Unfortunately, these values are not provided in the question. Without this information, we are unable to calculate the work done.
Thus, without the mass and displacement information, we cannot find the minimum power rating of the car.