To calculate the work done by the car to travel a distance of 50m, we need to first find the net force acting on the car, then use it to calculate the work done.
1. Find the net force acting on the car:
The net force F_net acting on the car is the difference between the force exerted by the car's engine and the force of the wind resistance.
Given:
- Mass of the car, m = 20 kg
- Acceleration of the car, a = 4 m/s^2
- Force of the wind, F_wind = 20 N
The force exerted by the car's engine is F_engine = m * a.
So, F_engine = 20 kg * 4 m/s^2 = 80 N.
Therefore, the net force is F_net = F_engine - F_wind.
F_net = 80 N - 20 N = 60 N.
2. Calculate the work done:
Work done W is given by the formula: W = F * d, where F is the force and d is the distance.
Given:
- Distance traveled, d = 50 m
- Net force, F_net = 60 N
So, W = F_net * d.
W = 60 N * 50 m = 3000 J.
Therefore, the work done by the car to travel a distance of 50m is 3000 J.
