What is the acceleration of a car when the engine exerts 20000 N of force, road friction is 10000 N and the mass of the car is 2000 kg?
To find the acceleration of a car, you need to use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
The net force on the car can be determined by subtracting the force of friction from the force exerted by the engine. In this case, the force of friction is given as 10000 N and the force exerted by the engine is 20000 N. Therefore, the net force is 20000 N - 10000 N, which is equal to 10000 N.
Now, using Newton's second law of motion, we can calculate the acceleration of the car. Newton's second law is expressed as F = ma, where F is the net force, m is the mass, and a is the acceleration.
Plugging in the values, we have:
10000 N = 2000 kg * a
To find the acceleration, divide both sides of the equation by the mass of the car:
a = 10000 N / 2000 kg
Simplifying the equation, we get:
a = 5 m/s^2
Therefore, the acceleration of the car is 5 meters per second squared.