A car with a weight of 5000.0 N is accelerated across a level surface at 2.5 m/s^2. What is the net force acts on the wagon? (g= 9.81 m/s^2)
To find the net force acting on the car, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
1. Determine the mass of the car using the given weight and the acceleration due to gravity (g):
Weight = mass * acceleration due to gravity
5000 N = mass * 9.81 m/s^2
Rearrange the equation to solve for mass:
mass = 5000 N / 9.81 m/s^2
Calculate the mass of the car:
mass = 509.763 N / m/s^2 ≈ 509.8 kg
2. Now that we have the mass of the car, we can find the net force acting on it:
Net force = mass * acceleration
Substitute the known values into the equation:
Net force = 509.8 kg * 2.5 m/s^2
Calculate the net force acting on the car:
Net force = 1274.5 N
Therefore, the net force acting on the car is 1274.5 N.