A force of 1000 N is applied to a 1200 kg car if the coefficient of rolling friction is 0.04 what is the cars acceleration?
Net force=1000-.04*1200*9.8
acceleration=NetForce/mass
do the math.
To calculate the car's acceleration, we first need to determine the net force acting on the car. The net force is the vector sum of all the forces acting on an object.
In this scenario, there are two forces acting on the car: the applied force and the force of rolling friction.
1. Applied force: Given that the force applied to the car is 1000 N.
2. Rolling friction force: The rolling friction force can be calculated using the equation: Friction force = coefficient of rolling friction × normal force.
- The normal force is the force exerted by a surface perpendicular to the object resting on it. Since the car is on a flat surface, the normal force is equal to the car's weight, which can be calculated as weight = mass × gravitational acceleration.
- Plugging in the values, we get: weight = 1200 kg × 9.8 m/s^2 (gravitational acceleration on Earth) = 11760 N.
- Next, we calculate the rolling friction force: Friction force = 0.04 × 11760 N = 470.4 N.
Now, we have determined the net force acting on the car by taking the difference between the applied force and the rolling friction force:
Net force = Applied force - Friction force = 1000 N - 470.4 N = 529.6 N.
Finally, we can calculate the acceleration using Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Acceleration = Net force / mass = 529.6 N / 1200 kg = 0.441 m/s^2.
Therefore, the car's acceleration is 0.441 m/s^2.