Physics Unit 4 The Newtonian World
- Created by: Sam Burley
- Created on: 17-06-13 20:07
Newton’s Laws of Motion
Newton’s First Law
· An object either remains at rest or keeps travelling at constant velocity provided no resultant force acts.
Newton’s Second Law
· The net force acting on an object is equal to the rate of change of the linear momentum of an object. (F=ma is just a special case where m is constant)
Linear Momentum () = mass of an object (m) x velocity (v)
Net Force on a body is the rate of change of momentum
(N or kgms-2) - Net Force
- Change in Momentum
- Change in Time
Newton’s Third Law
· When two objects interact, the forces they exert on each other are equal in magnitude and opposite in direction.
Impulse (Ns or kgms-1) = force x change in time = Change in Momentum
In a force against time graph, the area underneath in the impulse
Collisions
Principle of Conservation of Momentum
· The total momentum before a collision = the momentum after a collision, provided no external forces act
Elastic and Inelastic Collisions
· In an elastic collision, the total kinetic energy of the system remains constant. Momentum and total energy are conserved.
· In an inelastic collision, the total kinetic energy in not conserved. Some of the KE is transformed into heat, sound, etc. Momentum and total energy is conserved.
· A total inelastic collision is when the two bodies stick together and they move off with the same velocity
Circular Motion
Period (T) is the time it takes for an object to make a complete orbit around its circular path.
Circumference of a Circle is radians
The Angular Displacement of a body is the angle in radians through which a point has been rotated.
s - Arc length
r - Radius
One Radian is when the Arc Length is equal to the radius
Conversions
Degrees --> Radians
Radians --> Degrees
Tangential Velocity
t is for time
Angular Velocity
· Is the rate at which the object’s angular displacement changes (the rate at which it is going around the circle)
Centripetal
Definition – Moving or trending towards a centre.
Centripetal Acceleration (a)
An object moving along a circular path has a changing velocity, even if its speed is constant. It is being accelerated towards the centre of the circle.
Centripetal Force
A force that acts on a body moving in a circular path and is directed toward the centre around which the body is moving
Using the equation we get:
Gravitational Fields
Newton’s Law of Gravitation
· This law states that any two bodies attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them
Gravitational Force
F - The force due to the gravitational attraction between the two objects (N)
G – The Gravitational Constant
M – Mass of the…
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