formula of Newtow first law of motion
Answers
Newton’s First Law of Motion also known as Law of Inertia states that every object persists to stay in uniform motion in a straight line or in the state of rest unless an external force acts upon it.
Newton’s Second Law of Motion states that force is equal to the change in momentum per change in time. For a constant mass, force equals mass times acceleration, i.e. F = m*a.
Newton’s Third Law of Motion states that for every action there is an equal and opposite reaction.
Derivation of Newton’s Second Law of Motion
According to Newton’s second law: F⃗ =dP⃗ /dt,
where P⃗ = momentum and P⃗ =mv⃗
If the time interval for the applied force is increased, then the value of the applied force will decrease.
From Newton’s second law of motion,
F⃗ ∝dP⃗ /dt
F⃗ =k×dP⃗ /dt=kma⃗
For simplicity, the constant of proportionality (k) is chosen to be 1, therefore
F=ma
Answer:
three laws of motion may be stated as follows:
Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it.
Force equals mass times acceleration [ f(t)=m\,a(t) ].
For every action there is an equal and opposite reaction.
The first law, also called the law of inertia, was pioneered by Galileo. This was quite a conceptual leap because it was not possible in Galileo's time to observe a moving object without at least some frictional forces dragging against the motion. In fact, for over a thousand years before Galileo, educated individuals believed Aristotle's formulation that, wherever there is motion, there is an external force producing that motion.
The second law, f(t)=m\,a(t), actually implies the first law, since when f(t)=0 (no applied force), the acceleration a(t) is zero, implying a constant velocity v(t) . The velocity is simply the integral with respect to time of (t)= v(t)
Newton's third law implies conservation of momentum . It can also be seen as following from the second law: When one object ``pushes'' a second object at some (massless) point of contact using an applied force, there must be an equal and opposite force from the second object that cancels the applied force. Otherwise, there would be a nonzero net force on a massless point which, by the second law, would accelerate the point of contact by an infinite amount.
In summary, Newton's laws boil down to f=ma . An enormous quantity of physical science has been developed by applying this simple.mathematical law to different physical situations.
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