Derive conservation of linear momentum with respect to newton's second law of motion
Answers
The momentum (p) of an object is found by multiplying the objects mass (m) in kilograms (kg) by it’s velocity in metres per second (ms-1).
momentum = mass x velocity
p=mv
Momentum image 1
Momentum is a vector and it’s unit is the kilogram metre per second (kgms-1).
Example; A car of mass 2000 kg is travelling at 32 ms-1. What is its momentum?
momentum calc 4
Newton’s Second Law – link to Newton’s laws.
The rate of change of momentum of an object is directly proportional to the resultant force applied and is in the direction of the resultant force.
The resultant force is equal to the rate of change of momentum.
rate of change of momentum 2
Impulse
If we multiply the force acting on an object by the time it is acting for this is called the impulse of a force.
Impulse is a vector and its unit is the kilogram metre per second (kgms-1) or the newton second (Ns).
Impulse
Impluse
So we can see that impulse is equal to the change in momentum.