5243

Physics Properties Of Matter Level: Misc Level

Approximately 118 mi wide and 307 mi long and averaging 279 ft in depth, Lake Michigan is the second- largest Great lake by volume. Estimate its volume of water in m3. (Note that 2.54 cm =1 inch and 5280 feet =1 mile)




5242

Physics Measurements Level: Misc Level

A student has a car that gets, on average, 25.0 mi/gal of gasoline. She plans to spend the a year in Europe and take the car with her.

a. What should she expect the car s average gas mileage to be in kilometers per liter?

b. During the year there, she drove 6000 km. Assuming that gas costs $5. 00/gal in Europe, how much did she spend on fuel? ( Compute to the nearest dollar)




5241

Physics Units Level: Misc Level

One student, using unit analysis, says that the equation v=\sqrt{2ax} is dimensionally correct. Another says it isn't With whom do you agree, and why? In the equation, v is velocity, a is acceleration, and x is distance.




5240

Physics Dimensions Level: Misc Level

You are told that the volume of an object of unknown shape is given by V=\pi d^{\frac{3}{4}}, where V is the volume and d is the diameter of the sphere.Is this equation dimensionally correct?

(Use SI unit analysis to find out)




5239

Physics Heat & Thermodynamics Level: Misc Level

Aluminum has a positive coefficient of thermal expansion. Consider a round hole that has been drilled in a large sheet of Aluminum. As the temperature increases and the surrounding metal expands, the hole diameter will:

(a) decrease

(b) increase

(c) depends how much metal surrounds the hole

(d) remain constant




5238

Physics Heat & Thermodynamics Level: Misc Level

How much heat is added 500 g of water to raise its temperature from 15 %C to 85 % C?

(a) 35 ]

(b) 3.5 x10 4 ]

(c) 1.5 x10 5]

(d) 1.5 x10 8]




5237

Physics Units Level: Misc Level

Which of the following would correctly convert a Fahrenheit temperature (F) to a Kelvin (K) value? 

(a) K= (5/9) (F- 32) + 273

(b) K =(9/5) (F-32) +273

(c) K =(5/ 9) (F -32)

(d) K=(9/5) F+273

(e) K=(5/9) F-273




5235

Physics Measurements Level: Misc Level

Which two temperature changes are equivalent?

(a) 1 degree F=1 degree C

(b) 1 degree C= 1 K

(c) 1 K =1 degree F




5234

Physics Ray Optics Level: Misc Level

A steel cable spanning a river is 195.946 m long when the temperature is 20 degree C.What will be its length when the temperature drops to 0 degree C? ( The coefficient of thermal

 12 x10-6 1-C).

expansion of steel is

(a) 195.997 m

(b) 195.903 m




5233

Physics Properties Of Matter Level: Misc Level

Consider a flat steel plate with a hole through its center. When the plate s temperature is decreased, the hole will

(a) expand if takes up less than half the plates surface area.

(b) contrct only if it takes up more than half the plate s surface area.

(c) expand

(d) contract




5232

Mathematics Integration Level: Misc Level

Integrate \int(2x+3)\sqrt{4x^{2}+5x+6}dx




5231

Mathematics Integration Level: Misc Level

Integrate  \int \sqrt{2ax-x^{2}}dx




5230

Mathematics Integration Level: Misc Level

Integrate  \int \sqrt{1+3x-x^{2}}dx




5229

Mathematics Integration Level: Misc Level

Integrate  \int \sqrt{5-2x+x^{2}}dx




5228

Mathematics Integration Level: Misc Level

Integrate \int \sqrt{x^{2}+2x+5}dx


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