How much work is required to bring a 1000 kg racing car traveling at a speed of 60 km/hr to rest?
It has to be equal to the initial KE of the car, 1/2 m v^2 (v in m/s)
To determine the amount of work required to bring the racing car to rest, we need to use the formula for work:
Work = Force × Distance
In this case, the force required to bring the car to rest is the opposing force, which is the force of friction. Friction is exerted in the opposite direction of the car's motion.
First, we need to calculate the deceleration of the car. We know the initial speed (60 km/hr), and the final speed (0 km/hr since it needs to come to rest). We also know the mass of the car (1000 kg). We can use the equation of motion:
Final velocity squared = Initial velocity squared + 2 × acceleration × distance
0 = (60 km/hr)^2 + 2 × acceleration × distance
We know that 1 km/hr is equal to 1000 m/3600 s. So, we can convert the speeds to m/s:
Initial velocity = 60 km/hr × (1000 m/3600 s) = 16.67 m/s
Final velocity = 0 km/hr × (1000 m/3600 s) = 0 m/s
Substituting these values into the equation:
0 = (16.67 m/s)^2 + 2 × acceleration × distance
Now we can calculate the deceleration. Rearranging the equation:
Acceleration = - (16.67 m/s)^2 / (2 × distance)
To calculate the distance, we need information about the road or surface the car is traveling on, such as the coefficient of friction or any other necessary data.
Once we have the distance, we can substitute it back into the equation to find the deceleration. Then we can use the deceleration and the mass of the car to calculate the opposing force, and finally, multiply the force by the distance traveled to get the work done to bring the car to rest.
Note that without the specific information about the road or surface, it is not possible to provide an exact answer to the question.