How much work is required to stop a car that is 800.0 kg car that is traveling at 20.0 m/s?
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To calculate the work required to stop a car, we need to first determine the initial kinetic energy (KE) of the car and then find the work done by external forces to bring it to a stop.
Step 1: Calculate the initial kinetic energy (KE) of the car.
The formula to calculate kinetic energy is: KE = (1/2) * mass * velocity^2.
Using the given values, we can substitute them into the formula:
KE = (1/2) * 800.0 kg * (20.0 m/s)^2
KE = 1/2 * 800.0 kg * 400.0 m^2/s^2
KE = 160,000 J (joules)
Step 2: Calculate the work required to stop the car.
When the car comes to a stop, all its kinetic energy is converted to work done by the external forces, such as the brakes or friction. So, the work done to bring the car to a stop is equal to the initial kinetic energy.
Work = KE = 160,000 J
Therefore, the work required to stop the car is 160,000 joules (J).