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Learn about momentum as "inertia in motion" and energy as the ability to do work. Explore concepts like impulse, conservation laws, potential and kinetic energy, and power in this insightful chapter.
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Chapter 5 Momentum and Energy
Momentum: • By Momentum, we mean “Inertia in Motion” or more specifically, the mass of an object multiplied by its velocity. • Momentum = mass × velocity • or in shorthand notation, • Momentum = m × v • P = m × v • When direction is not an important factor, we can say • Momentum = mass × speed • S.I Unit of Momentum : • Kg-m/sec or N-sec
Impulse Changes Momentum: The greater the impulse exerted on some thing, the greater the change in momentum. The exact relationship is, • Impulse = Change in Momentum • or in shorthand notation, • Ft = Δ(mv) • Where Δ is the symbol for “change in”
Law of Conservation of Momentum P1(initial) + P2(initial) = P1(final) +P2(final) If no net external force acts on a system, the total linear momentum of the system cannot change. Or It can be stated that The sum of a system's initial momentum is equal to the sum of a system's final momentum. The law of conservation of momentum can be mathematically expressed as Total momentum before collision = Total momentum after collision
Energy: “The ability of a body to do work is called Energy’’ • S.I Unit of Energy: • joules
Energy and Work:“Work is the product of force and distance.’’ • Work = Force × Distance • or in shorthand notation, • W = F d • S.I Unit of Work: • joules
Potential Energy:“The Energy stored by an object by virtue of its position is called Potential Energy (P.E)” or in shorthand notation, • P.E = mgh • S.I Unit of P.E: • joules
Kinetic Energy:“The Energy of motion is called Kinetic Energy (K.E)”or in shorthand notation, • S.I Unit of K.E: • joules
Conservation of Energy: “The energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes.”
Power: Rate of doing work Or Work done per unit time Unit- Watt= Joule/sec Horse power (hp) English system 1hp= 746 Watt
Examples • An elevator with a person inside weighs 5000 N. If it is raised to a height of 15 m in 10 sec. Find (a)The work done on the elevator by the motor. (b)The power • 100 Watt lamp