state newton's second law of motion. Write its mathematical expression. Explain how we can obtain first law from it
for 3 marks Question
Answers
Newton’s Second Law of Motion
Newton’s second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Second Law of Motion Formula
Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v. Here we see that, the initial momentumLaw Of Motion
The final momentum
Law Of Motion
The change in momentum can be written as
Law Of Motion
As we know, the rate of change of momentum with respect to time is proportional to the applied force. The applied force
Law Of Motion
Or,
Law Of Motion
as acceleration (a) = rate of change of velocity with respect to time.
Law Of Motion
Above is the second law of motion formula.
Notations Used In The Formula
F is the force
k is the constant of proportionality
a is the acceleration
The SI units of mass and acceleration are kg and m.s-2 respectively.
So,
Law Of Motion
The second law of motion gives us a method to measure the force acting on an object as a product of the mass of the object and the acceleration of the object which is the change in velocity with respect to time.
Stay tuned with BYJU’S to learn more about Physics-related concepts.Newton’s Second Law of Motion
Newton’s second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Second Law of Motion Formula
Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v. Here we see that, the initial momentumLaw Of Motion
The final momentum
Law Of Motion
The change in momentum can be written as
Law Of Motion
As we know, the rate of change of momentum with respect to time is proportional to the applied force. The applied force
Law Of Motion
Or,
Law Of Motion
as acceleration (a) = rate of change of velocity with respect to time.
Law Of Motion
Above is the second law of motion formula.
Notations Used In The Formula
F is the force
k is the constant of proportionality
a is the acceleration
The SI units of mass and acceleration are kg and m.s-2 respectively.