Calculate the kinetic energy of a car of mass 1200kg moving at 1.8m/s
The car engine is Switched Off calculate the height the could rise up a hill before coming to rest if there is no energy loss due to friction assume g= 10N/kg
Into what form has the kinetic energy been transformed when the car has come to rest on the hill
A) (1/2) m v^2
B) m g h
Potential
To calculate the kinetic energy of a car, you can use the formula:
Kinetic Energy = (1/2) * mass * velocity^2
Given:
Mass (m) = 1200 kg
Velocity (v) = 1.8 m/s
Substituting the values into the formula, we get:
Kinetic Energy = (1/2) * 1200 kg * (1.8 m/s)^2
Simplifying the equation, we have:
Kinetic Energy = 0.5 * 1200 kg * (1.8 m/s)^2
Kinetic Energy = 0.5 * 1200 kg * 3.24 m^2/s^2
Kinetic Energy = 1944 joules
Now, let's calculate the height the car could rise up the hill before coming to rest.
Since the engine is switched off, the car's kinetic energy will be transformed into potential energy when it comes to rest on the hill.
Given:
Mass (m) = 1200 kg
Acceleration due to gravity (g) = 10 N/kg
Potential Energy (PE) = m * g * h (where h is the height)
Since the car starts with kinetic energy and ends with potential energy, we can equate the two:
Kinetic Energy = Potential Energy
1944 joules = 1200 kg * 10 N/kg * h
Rearranging the equation to solve for h, we get:
h = 1944 joules / (1200 kg * 10 N/kg)
h = 0.162 meters
Therefore, the car could rise up a hill of approximately 0.162 meters in height before coming to rest.
The form into which the kinetic energy of the car has been transformed when it comes to rest on the hill is potential energy.