A car of mass 900.0 kg accelerates away from an intersection on a horizontal road. When the car speed is 49.7 km/hr (13.8 m/s), the net power which the engine supplies is 4300.0 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.

P=Fv=mav

a=P/mv=4300/900•13.8=0.35 m/s²

To calculate the acceleration of the car, we can use the power equation:

Power = force x velocity

Rearranging the equation, we have:

force = power / velocity

First, let's convert the speed from km/hr to m/s:

Speed = 49.7 km/hr = 49.7 x 1000 / 3600 m/s = 13.8 m/s

Now we can plug in the values into the equation:

Force = 4300.0 W / 13.8 m/s

Force = 311.594 W/m

Since force = mass x acceleration, we can rearrange the equation:

Acceleration = force / mass

Acceleration = 311.594 W/m / 900.0 kg

Acceleration = 0.346 m/s^2

Therefore, the acceleration of the car at that time is 0.346 m/s^2.

To calculate the acceleration of the car, we can use the equation for power:

Power = force x velocity.

We are given the power supplied by the engine (4300 W) and the velocity of the car (13.8 m/s). The force in this equation represents the net force acting on the car.

Power = force x velocity
4300 = force x 13.8

To calculate the force, we can rearrange the equation:

force = power / velocity
force = 4300 / 13.8

Now, we need to determine the force acting on the car. This force can be found by equating it to the product of the mass of the car and its acceleration:

force = mass x acceleration

Rearranging the equation to solve for acceleration:

acceleration = force / mass = (4300 / 13.8) / 900

Now we can substitute the values and calculate the acceleration:

acceleration = (4300 / 13.8) / 900
acceleration ≈ 0.357 m/s²

Therefore, the acceleration of the car at that time is approximately 0.357 m/s².