Question

State Newton's first low of motion. show that Newton Newton's first law of motion is a special case of Newton's second law. determine the acceleration of a car of mass 800 kg an application of a force of 200N on it.

Answer 1

 Newton's first law of motion - sometimes referred to as the law of inertia.Newton's first law of motion is often stated as. An object at rest stays at rest and an object in motionstays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

Answer 2

Newton's first law of motion also called the law of inertia states that when a body is in rest it will remain in rest and if a body is in motion it will remain in motion until an external force is applied on it and as we know Newton's second law of motion states that the rate of change of momentum of a body is equal to the resultant force.
So, if the resultant force acting on a body is zero, the rate of change of momentum is also zero. Where if the rate of change of momentum of a body becomes zero it does means that the final and initial momentum are equal to each other which also means that the final and initial velocities are equal, which resembles the Newton's law of inertia. This is how Newton's first law of motion is a special case of Newton's second law of motion.
Given :
Mass =800 kg
Force =200N
Acceleration =?
Force =mass *acceleration
200N =800kg * a
a=200/800
a =1/4
a =0.25m/s sq.