A car of weight 1.4*10^4N is moving up an incline at a constant speed of 6.2 m/s . The incline makes an angle of 5.0 to the horizontal. A frictional force of 600 N acts on the car in opposite direction. State the net force of the car
To calculate the net force acting on the car, we need to consider all the forces acting on it.
In this case, there are two forces acting on the car: the gravitational force and the frictional force.
1. Gravitational Force (Weight):
The weight of the car is given as 1.4 * 10^4 N. The weight is the force due to gravity acting vertically downwards. We can calculate the component of the weight parallel to the incline by using the formula:
Weight_parallel = Weight * sin(angle)
Weight_parallel = (1.4 * 10^4 N) * sin(5.0°)
2. Frictional Force:
The frictional force is given as 600 N and acts in the opposite direction to the motion of the car.
Now, let's calculate the net force acting on the car by considering both forces:
Net Force = Weight_parallel - Frictional Force
If it is going up at constant speed, then
pushing force-gravityforce-friction=0
pushing force=mgSinTheta+600N
That is the net pushing force on the car