In general this work appears as changes in the real systems translational

# In general this work appears as changes in the real

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In general, this work appears as changes in the real system’s translational kinetic energy and its internal energy. The internal energy may appear as rotational motion, potential energy, thermal energy…(yo-yo: p. 290)

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Through what distance did the force act on the Point Particle system? A) 0.03 m B) 0.04 m C) 0.07 m D) 0.08 m E) 0.10 m Clicker Question - Review
Which is the energy equation for the Point Particle system? A) Δ K trans = F*(0.07 m) B) Δ K trans = F*(0.08 m) C) Δ K trans + Δ K vib + Δ U spring = F*(0.07 m) D) Δ K trans + Δ K vib + Δ U spring = F*(0.08 m) Clicker Question - Review

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Through what distance did the force act on the Real system? A) 0.03 m B) 0.04 m C) 0.07 m D) 0.08 m E) 0.10 m Clicker Question - Review
Which is the energy equation for the Real system? A) Δ K trans = F*(0.07 m) B) Δ K trans = F*(0.08 m) C) Δ K trans + Δ K vib + Δ U spring = F*(0.07 m) D) Δ K trans + Δ K vib + Δ U spring = F*(0.08 m) Clicker Question #2

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Real system: Δ K trans + Δ K vib + Δ U spring = F*(0.08 m) Point particle system : Δ K trans = F*(0.07 m) We thus conclude that Δ K vib + Δ U spring = F*(0.01 m) or, using our previous notation, Δ E internal = F*(0.01 m) The point particle technique may seem strange, but it’s very powerful. How else could we find Δ E internal ? Clicker Questions Summary
Exert a constant force F and move the block a distance d at constant velocity. You do an amount of work Fd, and friction does an amount of work -Fd (because f=-F). Apparently the net work done on the block is zero. However, the block got hotter. How can the block get hotter if no work was done on it? A Paradox

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Regarding the paradox: A. This paradox cannot be resolved. B. There is no paradox, because the block does not actually get hotter. C. It’s not actually possible to have the frictional force exactly equal the force pulling the block. D. Friction must somehow not be doing the same amount of work as the force pulling the block.

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