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Dimensional Analysis for a Proposed Kinematic Relationship When acceleration (a) is constant, one can derive a relationship for straight-line motion between speed, v, initial (time t = 0) speed v0, acceleration (a), and the displacement (x – x0). Is the following proposed relationship potentially correct in terms of dimensional analysis?

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Express the speed 72.0 km/h in SI base units.

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Surface Area of a Human Sometimes, for example, when we are estimating evaporation rate from the skin or thermal radiation from a naked person, we need an estimate of the surface area of a human. Use reasonable estimates to approximate the surface area of a typical human.

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The Wheels on the Bus Go Round and Round How many revolutions do the wheels on a bus make during a trip from Toronto to Montreal?

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Habitable Planets Estimate the number of habitable planets in the universe.

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Unit Conversion Express the speed 72.0 km/h in SI base units.

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Average Speed and Average Velocity An airplane flying at a constant speed takes 1.20 h to go from Amsterdam, Netherlands, to Berne, Switzerland, 630. km to the southwest. The airplane is then diverted before landing to Paris, France, 432. km northwest of Berne. It takes 0.900 h to get there, travelling at the same constant speed. (a) Find the average speed of the airplane during the trip. (b) Find the average velocity of the airplane, given that Amsterdam and Paris are 440. km apart. (c) In a diagram, show the difference between the displacement of the airplane and the distance covered by the airplane throughout the journey

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Combining Waves with Different Phases Two electromagnetic waves with identical frequencies have individual intensities I_1=4.00 W/m^2=2.00 W/m^2 . What phase difference results in a maximum combined intensity, and what is that intensity? What phase difference results in a minimum combined intensity, and what is that intensity? If we want a combined wave with an intensity of I_T=7.00 W/m^2, what must the phase difference between I_1 and I_2 be?

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