A car of mass 920.0 kg accelerates away from an intersection on a horizontal road. When the car speed is 48.2 km/hr (13.4 m/s), the net power which the engine supplies is 5900.0 W (in addition to the extra power required to make up for air resistance and friction). Calculate the acceleration of the car at that time.
power=force*velocity=mass*acceleration*velocity
acceleration=power/(mass*velocity)
To calculate the acceleration of the car, we can use the power equation:
Power = Force x Velocity
In this case, the power supplied by the engine is given as 5900.0 W, and the velocity of the car is 13.4 m/s. We need to find the force acting on the car.
The force can be calculated using Newton's second law of motion:
Force = mass x acceleration
Rearranging the equation, we get:
acceleration = Force / mass
Now, we need to calculate the force applied by the engine. Power is defined as the rate at which work is done, and work is given by the equation:
Work = Force x Distance
Since the car is moving on a horizontal road, the distance traveled in a given time is equal to the velocity multiplied by the time. Therefore, we can rewrite the equation as:
Power = Force x (Velocity x time)
Simplifying the equation, we get:
Force = Power / (Velocity x time)
Substituting the values we know, we have:
Force = 5900.0 W / (13.4 m/s x t)
Next, we substitute the force into the acceleration equation:
acceleration = (5900.0 W / (13.4 m/s x t)) / 920.0 kg
We need to know the value of time (t) in order to calculate acceleration. Unfortunately, the question does not provide this information. Therefore, we cannot determine the acceleration without knowing the value of time.