Let the velocity of the object changes from u.
Mathematical formulation of second law of motion.
To v in the interval of time t this means initial velocity of the object u.
Mathematical formulation of newton s second law of motion.
Before understanding the equation of newton s second law of motion which deals with force mass and acceleration of an object let.
Final velocity of the object v.
Here we see that the initial momentum p 2 m u.
Mathematical formulation of second law of motion we often observe that if the same magnitude of the force is used to push two blocks of wood where one of the blocks is heavier than the other the rate of change of position of the lighter block will be more than the heavier ones.
The final momentum p 2 m v.
While the first law defines inertia the second law of motion formula explains the relationship between acceleration and force.
Mathematical formulation of second law of motion.
Mathematical formulation of the second law of motion.
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Mathematical formulation of second law of motion.
This means that the object will continue moving with uniform velocity u throughout the time t.
We can also measure force concerning mass and acceleration based on this law.
Now newton s second law of motion can be mathematically represented asyou know that using this.
Let us say after a certain time t with a constant acceleration the final velocity becomes v.
Mathematically it describes the causes and effects of force and changes in motion of an object.
Let mass of an moving object m.
Let us consider an object of mass m moving along a straight line with an initial velocity u.
It gives the quantitative definition of force.
Newton s second law of motion is related with the first law of motion.
Mathematical formulation of second law of motion.
That is when f 0 v u for whatever time t is taken.
Or f m v u t 5 or ft mv mu.
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Mathematical formulation of second law of motion.