Exam 1: Units, Trigonometry, and Vectors

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One mole of ammonia (NH3)has a mass of 17.0 g,and one mole is equal to 6.02 × 1023 molecules.How many hydrogen (H)atoms are in 55.0 g of ammonia? Note that each molecule of ammonia has 3 hydrogen atoms.

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Two wires support a post,with dimensions as shown in the figure.If d = 14 m,what is the value of x? Two wires support a post,with dimensions as shown in the figure.If d = 14 m,what is the value of x?

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​The distance from New York to London is 3 470 miles.If a plane takes 6.0 hours to fly this distance,what is the plane's average speed in kilometers per hour? 1 mile = 1.609 km.

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When we add a displacement vector to another displacement vector,the result is

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​An airplane takes off due west at an angle of 16.0° with the horizontal.When the airplane is at a vertical height of 400 ft,what is its displacement vector? Let east be the +x direction and +z be upwards.

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Two ships set sail from the same port.Ship A sails a distance of 35.0 kilometers in a direction 30.0° north of east,and drops anchor.Ship B sails due south.When ship B is 30.0 km from the port,how far apart are the ships?

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Arvin the Ant travels 30 cm eastward,then 25 cm northward,and finally 10 cm westward.In what direction is Arvin now in with respect to his starting point?

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​A surveyor stands 100 m from the base of a building,and uses a transit to determine that the angle of elevation to the building's roof is 19.0°.If the transit height is 0.80 m,what is the height of the building?

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Of vectors with lengths 5 m,3 m,and 4 m,which has the greatest magnitude x component?

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​A marble has a radius of 16 mm.Approximately how many marbles will fit in a cube-shaped container with each side equal to 36 cm?

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The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion.Assume that 30.0 cm3 of gasoline is atomized into N spherical droplets.Each droplet has a radius of 1.0 × 10−5 m.Find the total surface area of these N spherical droplets.​

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Multiplying a 2-significant-figure number by a 4-significant-figure number and then dividing the product by a seven-significant-figure number yields a number with how many significant figures?

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When we subtract a velocity vector from another velocity vector,the result is

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How long has it been that scientists have accepted that the nucleus of the atom consists of neutrons and protons? Think of your answers in terms of order of magnitude.

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When three vectors are added graphically and form a closed triangle,the largest enclosed angle between any two of the vectors cannot be greater than

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I walk six miles in a straight line in a direction north of east,and I end up four miles north and several miles east.How many degrees north of east have I walked?

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Calculate (0.83 + 0.049)(4.4 × 103),keeping only significant figures.

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A cement truck can pour 160 cubic yards of cement per hour.Express this in ft3/min.

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On planet Q the standard unit of volume is called the guppy.Space travelers from Earth have determined that one liter = 39.0 guppies.How many guppies are in 230 liters?​

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Sphere A has a radius of 5.00 cm,and sphere B has a radius of 8.80 cm.What is the difference in volume between the two spheres? ​

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