F=Ma

    F=Ma comes from Isaac Newton's second law which states,"The net force on a body is equal to the product of the body's mass and its acceleration (91,Walker)."  The F is the force of the object, the M stands for the mass of the object, and a is the acceleration of the object.  In a car it is the force of the engine turning the wheels, which in turn move the whole vehicle.  With two different variations of this equation we could use logic to create a good vehicle. 

1.a= (F/M)      2. M=(F/a)     3. F=Ma
 
    In equation one we could figure for the acceleration if we had the force that the engine is excerting on the car and the mass of the car.  We would take the force and divide it by the mass of the system.  If one wanted to increase the mass and keep the acceleration the same,  the force would have to be increased which would mean that more gas would have to be consumed to create enought force to constantly accelerate that car.  Vic versa with by making the mass of the car smaller.  The force would be smaller making it easier for the motor to accelerate consuming less gas.

    In equation two we can figure for the mass of the if we had the Force the engine was outputting and the acceleration.  If the acceleration kept on increasing while the Force stayed the same the mass will become smaller as well leading me to the conclusion that the smaller the car is the faster it will be able to accelerate with a given amount of force.  If the acceleration were to decrease with the force stayed the same, the mass would increase leading to the fact that bigger vehicles accelerate slower than faster vehicles.

In the end one can learn a lot from this single equation to build a balanced vehicle.  If a vehicle is relatively small with a powerful engine one would have a blast and if there light footed they would have the best gas mileage in the world.  But the only problem is that the smaller the vehicle gets the smaller the engine has to become also, maybe somebody should make an equation for that.  The smaller the engine, the less power it will output decreasing the rate it will accelerate.






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