My car is accelerating from o to 60 km/hr in 3.2 seconds. if the mass of my car is 2450kg and the froce of friction is 30 N, what is the force produced by my cars engine
To determine the force produced by your car's engine, we need to use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In this case, the acceleration is the change in speed divided by the change in time. Given that the car accelerates from 0 km/h to 60 km/h in 3.2 seconds, we need to convert these values to m/s.
Converting 0 km/h to m/s:
0 km/h * (1000 m/1 km) * (1 h/3600 s) = 0 m/s
Converting 60 km/h to m/s:
60 km/h * (1000 m/1 km) * (1 h/3600 s) = 16.67 m/s
Now, let's calculate the acceleration:
Acceleration = (final velocity - initial velocity) / time
Acceleration = (16.67 m/s - 0 m/s) / 3.2 s
Acceleration = 5.21 m/s^2
Now we can calculate the force produced by the car's engine using Newton's second law:
Force = mass * acceleration
Force = 2450 kg * 5.21 m/s^2
Force = 12,754.5 N
Therefore, the force produced by your car's engine is approximately 12,754.5 N. Note that this calculation assumes that the force of friction remains constant during the acceleration.