With brakes fully applied, a 1340 kg car deccelerates from a speed of 96.0 km/hr. What is the work done by the braking force in bringing the car to a stop?
To find the work done by the braking force in bringing the car to a stop, we need to use the work-energy principle. The work-energy principle states that the work done on an object is equal to the change in its kinetic energy.
First, let's convert the car's initial speed from km/h to m/s:
Speed = 96.0 km/hr = (96.0 * 1000) m/ (60 * 60) s
= 26.67 m/s
Next, we calculate the initial kinetic energy of the car:
Initial kinetic energy = (1/2) * mass * (initial velocity)^2
= (1/2) * 1340 kg * (26.67 m/s)^2
Since the car comes to a stop, its final velocity is 0 m/s. Therefore, the final kinetic energy is zero.
The work done by the braking force can be calculated as the change in kinetic energy:
Work done = final kinetic energy - initial kinetic energy
= 0 - [(1/2) * 1340 kg * (26.67 m/s)^2]
Now, you can substitute the values into the equation and calculate the work done.