A 1000 kilogram car driving at 5 meters per second is pushed with a force of 5000 Newtons. However, due to a problem with the car, the brakes are always on and exert a 3000 Newton force Without that additional force, what will be the velocity of the car after 6 seconds?
To calculate the velocity of the car after 6 seconds, we first need to determine the net force acting on the car.
The total force acting on the car can be calculated by subtracting the force due to the brakes from the force pushing the car:
Total force = 5000 N - 3000 N = 2000 N
Next, we can calculate the acceleration of the car using the formula:
Acceleration = Total force / Mass
Acceleration = 2000 N / 1000 kg
Acceleration = 2 m/s^2
With the acceleration known, we can use the kinematic equation to find the final velocity of the car after 6 seconds:
Final velocity = Initial velocity + (Acceleration x Time)
Final velocity = 5 m/s + (2 m/s^2 x 6 s)
Final velocity = 5 m/s + 12 m/s
Final velocity = 17 m/s
Therefore, the velocity of the car after 6 seconds will be 17 meters per second.