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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
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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