The Ark of the Covenant is described as a chest of acacia wood 2.5 cubits in length and 1.5 cubits in width and height. What is its volume in cubic feet? (b) Convert your result from part (a) to cubic meters. Tt measures approximately 631 m long, 707 yards wide, and 110 ft high. (a) The largest building in the world by volume is the Boeing 747 plant in Everett, Washington. What is the area of acircle of radius (a) 14.37 mand (b)3.8 m? How many significant figures are there in (a) 0.000054 and (b) 3.001 x 108? On a fishing trip you catch a 2.35-lb bass., a 12,1-lb rock cod, and a 12.13-lb salmon. What is the speed of light to three significant figures?Ī parking lot is 144.3 m long and 47.66 m wide. The speed of light to five significant figures is 2.9979 x 108 m/s. What is π to (a) three significant figures, (b) five significant figures, and (c) seven significant figures? The first several digits of π are known to be π = 314159265358979…. Newton’s second law (to be discussed in Chapter 5) states that acceleration is proportional to the force acting on an object and is inversely proportional to the object’s mass. Note that v and v0 are velocities and that a is an acceleration. Show that the equation v = v0 + at is dimensionally consistent. Find the power p that makes this equation dimensionally consistent.
Find the power p that makes this equation diniensionally consistent.Īcceleration is related to distance and time by the following expression: a = 2xtp. Velocity is related to acceleration and distance by the following expression: v2 = 2axp. Give an order-of-magnitude estimate for the length in meters of the following: (a) a person (b) a fly (c) a car (d) a 747 airplane (e) an interstate freeway stretching coast-to-coast. How-many calculations can it do in a microsecond? Give an order-of-magnitude estimate for the time in seconds of the following: (a) a year (b) a baseball game (c) a heartbeat (d) the age of the Earth (e) the age of a person.Ī Fast Computer IBM has a computer it calls the Blue Gene/L that can do 136.8 teracalculations per second. Express the speed of light in meters per second. The speed of light in a vacuum is approximately 0.3 Gm/s. Is it possible for two quantities to (a) have the same units but different dimensions or (b) have the same dimensions but different units? Explain. What is this in (a) meters and (b) kilometers? The Thickness of Hair A human hair has a thickness of about 70 µ m. If a distance d has units of meters, and a time T has units of seconds, does the quantity T + d make sense physically? What about the quantity d/T? Explain in both cases. Express this amount in (a) gigadollars and (b) teradollars.
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