Question 1

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.

Accepted Answer

A) ​5.84E+24 
B) ​1.95E+24 
C) ​3.07E+25 
D) ​6.49E+23

Question 2

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

Accepted Answer

A) 7.5 m 
B) 6.5 m 
C) 18.3 m 
D) 5.2 m

Question 3

​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.

Accepted Answer

A) ​2 200 
B) ​620 
C) ​390 
D) ​930

Question 4

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

Accepted Answer

A) a velocity. 
B) an acceleration. 
C) another displacement. 
D) a scalar.

Question 5

​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.

Accepted Answer

A) ​(385  + 400  )ft 
B) ​(-110  - 400  )ft 
C) ​(717  - 400  )ft 
D) ​(-1 390  + 400  )ft

Question 6

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?

Accepted Answer

A) ​46.1 km 
B) ​56.3 km 
C) ​65.0 km 
D) ​75.9 km

Question 7

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?

Accepted Answer

A) 59° N of E 
B) 29° N of E 
C) 29° N of W 
D) 51° N of E

Question 8

​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?

Accepted Answer

A) ​94.6 m 
B) ​95.4 m 
C) ​35.2 m 
D) ​34.4 m

Question 9

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

Accepted Answer

A) the one with length 5 m 
B) the one with length 3 m 
C) the one with length 4 m 
D) It could be any of the three.

Question 10

​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?

Accepted Answer

A) ​20 
B) ​510 
C) ​1 420 
D) ​80

Question 11

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.​

Accepted Answer

A) 3.0E+4 cm2 
B) 1.2E+5 cm2 
C) 1.8E+5 cm2 
D) 9.0E+4 cm2 
E) ​1.1E+5 cm2

Question 12

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?

Accepted Answer

A) 6/7 
B) 1 
C) 2 
D) 13 
E) ​8/7

Question 13

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

Accepted Answer

A) another velocity. 
B) an acceleration. 
C) a displacement. 
D) a scalar.

Question 14

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.

Accepted Answer

A) about a decade 
B) about a century 
C) about a thousand years 
D) since Aristotle

Question 15

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

Accepted Answer

A) 60°. 
B) 90°. 
C) 180°. 
D) No maximum exists.

Question 16

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?

Accepted Answer

A) 19° 
B) 42° 
C) 60° 
D) 71°

Question 17

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

Accepted Answer

A) 3 900 
B) 3 868 
C) 3 886 
D) ​3 644 
E) ​4 000

Question 18

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

Accepted Answer

A) 480 ft3/min 
B) 2.67 ft3/min 
C) 24.0 ft3/min 
D) 8.00 ft3/min 
E) ​72.0 ft3/min

Question 19

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?​

Accepted Answer

A) 8 970 guppies 
B) 9 010 guppies 
C) 8 740 guppies 
D) 9 200 guppies 
E) ​8 930 guppies

Question 20

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? ​

Accepted Answer

A) ​2 330 cm3 
B) ​556 cm3 
C) ​6 990 cm3 
D) ​165 cm3

Exam 1: Units, Trigonometry, and Vectors

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.

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

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.

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

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.

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?

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?

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?

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

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?

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?

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

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.

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

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?

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

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

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?

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?

Exam 1: Units, Trigonometry, and Vectors

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.

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

​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.

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

​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.

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?

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?

​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?

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

​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?

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?

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

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.

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

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?

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

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

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?​

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? ​

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.

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.

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.

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?

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?

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

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

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?

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?