exam2review - v m p = cm net a m dt p d F = = ∫ =-f i t t...

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Energy Work done by a force: d F s d F Constant force Variable force Conservation of energy: th E W + = mech E th mech E E + = 0 External work done on system System is isolated Types of energy: Kinetic, Potential, Thermal 2 2 1 mv K = 2 2 1 ϖ I K rot = Nd d f E k k th μ = = 2 2 1 kx U spring = mgh U g = r m Gm U g 2 1 - =
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A 45 kg block of ice slides down a frictionless incline 1.5 m long and .91 m high. A worker pushes up against the ice, parallel to the incline, so that the block slides down at a constant speed. What is the work done by: 1. The workers force 2. The gravitational force 3. The normal force on the block from the incline’s surface 4. The net force on the block Halliday/Resnick/Walker Chapter 7
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1. 2. A block slides down a ramp with friction 3. A block slides along a frictionless floor, collides with a spring, the spring stops momentarily before the block reverses direction. 1. Same as 3. but with friction What are the forms of energy initially? What are the forms of energy finally? Write the energy balance equation.
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Unformatted text preview: v m p = cm net a m dt p d F = = ∫ =-f i t t f f dt t F p p ) ( Momentum Relation of force to momentum Impulse i n i i total cm r m M r ∑ = = 1 1 n n cm total v m v m v m v M ..... 2 2 1 1 + + = n n cm total a m a m a m a M .... 2 2 1 1 + + = Conservation of momentum In the absence of external forces momentum is conserved. dt p d F = Elastic collisions – both kinetic energy and momentum are conserved i f v m m m m v 1 2 1 2 1 1 +-= i f v m m m v 1 2 1 1 2 2 + = i f p p = i n i i total com r m M r ∑ = 1 Center of mass Conservation of linear momentum Collisions – No external forces, Momentum is conserved Elastic (energy is conserved for colliding objects) Inelastic (energy is not conserved for colliding objects) Elastic collisions in 1D i f v m m m m v 1 2 1 2 1 1 +-= i f v m m m v 1 2 1 1 2 2 + =...
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This note was uploaded on 03/03/2010 for the course PHYS 123 taught by Professor Laurent-muehleisen during the Spring '08 term at Illinois Tech.

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exam2review - v m p = cm net a m dt p d F = = ∫ =-f i t t...

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