What is the kinetic energy of a 1850 kg car that is traveling at 58.0 km/h? B. How much work was done to give the car this kinetic energy assuming the car starts from rest? C. How much work must be done to stop the car?
change km/hr to m/s
KE=1/2 m v^2
it took that much work to give it that much KE
Same amount
To find the kinetic energy of the car, we can use the formula:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
A. To find the kinetic energy of the car:
Given:
Mass (m) = 1850 kg
Velocity (v) = 58.0 km/h = 58.0 * (1000/3600) m/s (converting km/h to m/s)
Now, we can substitute the values into the formula to find the kinetic energy:
KE = (1/2) * m * v^2
= (1/2) * 1850 kg * (58.0 * (1000/3600))^2 m^2/s^2
You can calculate the value to find the kinetic energy of the car.
B. To find the work done to give the car this kinetic energy assuming the car starts from rest:
The work done can be found using the work-energy principle which states that the work done on an object is equal to its change in kinetic energy.
So, the work done to give the car this kinetic energy is equal to the change in kinetic energy from rest to the calculated kinetic energy. Since the car starts from rest, the initial kinetic energy is zero.
Work Done (W) = KE - Initial KE
C. To find the work done to stop the car:
To stop the car, all of its kinetic energy needs to be converted to another form (such as heat or friction). So, the work done to stop the car is equal to the initial kinetic energy.
Work Done (W) = Initial KE
You can use the values calculated in part A to find the work done to stop the car.