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WEEK SIX
DYNAMICS
CONTENT
(a) Newton’s Laws of Motion
(b) Motion along Inclined Plane.
(c) Motion of Connected Particles
SUB TOPIC: NEWTON’S LAW OF MOTION
PARTICLE: This is a body or thing that has a negligible dimension. It is usually denoted by a point or dot.
MASS OF A BODY: This is the amount of matter contained in a body. It is measured in Kilogram me (Kg).
LINEAR MOMENTUM: The linear momentum of a particle is the product of the mass of the particle and its velocity. It is also known as momentum.
If mass= m, velocity= v and momentum= p.
Then, p=mv
NEWTON’S LAWS
FIRST LAW: Everybody or object remains at rest or of uniform motion unless compelled by an external force to act otherwise.
SECOND LAW: The rate of change of momentum of a body is proportional to the applied force and is in the direction of the force. (F =ma)
If a force F acts on a body of a mass m (kg) it produces acceleration (a) in the mass given by the relation. F=ma
THIRD LAW: To every action, there is always an opposite and equal reaction.
Examples:
- A force P acts on a body of mass 5kg on a smooth horizontal floor. If it produces an acceleration of 4.5ms-2, find the magnitude of P.
Solution: a=4.5ms-2 = 4 ½ ms-2 = 9/2 ms-2.
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