Calculate the work done by the brakes of a car of a mass 1000kg when its speed reduced 20m/s to10m/s
To calculate the work done by the brakes of the car, we need to use the formula for work:
Work = Force x Distance
In this case, the force applied by the brakes is unknown, but we can find it using Newton's second law:
Force = Mass x Acceleration
Since the car is slowing down, the acceleration is negative. To find the acceleration, we can use the equation:
Acceleration = (Final Velocity - Initial Velocity) / Time
The time taken to slow down may not be provided, so we will assume it is 1 second for simplicity.
Now let's calculate the acceleration:
Acceleration = (10 m/s - 20 m/s) / 1 s
Acceleration = -10 m/s²
Now we can calculate the force applied by the brakes:
Force = Mass x Acceleration
Force = 1000 kg x -10 m/s²
Force = -10,000 N
Since the force is negative, it means the brakes are applying a force in the opposite direction of motion (which is slowing down the car).
Finally, we can calculate the work done by the brakes:
Work = Force x Distance
Since the distance is not provided, we cannot calculate the work accurately without that information. However, if you have the distance, you can multiply it by the force value (-10,000 N) to find the work done by the brakes.