Question 1

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit.If you are measuring an object with length between 25 and 53 cm,how many significant figures will result if you only use the part of the meter stick between the 3- and 85-cm positions?

Accepted Answer

The answer of Assume when using a meter stick measuring...

Question 2

The distance to the Andromeda Galaxy is estimated at about 2 × 10⁶ light years.A light year is the distance traveled by light in one year;if the speed of light is 3 × 10⁸ m/s,about how far is it from our galaxy to Andromeda? (1 year = 3.15 × 10⁷ s)

Accepted Answer

We can use the formula for distance (d) given by:

d = speed x time

where speed is the speed of light and time is the time it takes for light to travel from our galaxy to Andromeda.

First, we need to convert the distance given in light years into meters:

2 x 10^16 light years x (3.15 x 10^17 s/year) x (3 x 10^8 m/s) = 1.89 x 10^22 m

Next, we can use the formula for time given by:

time = distance/speed

time = (1.89 x 10^22 m)/(3 x 10^8 m/s) = 6.3 x 10^13 s

Finally, we can convert this time into years:

6.3 x 10^13 s/(3.15 x 10^7 s/year) = 2 x 10^6 years

Therefore, the distance from our galaxy to Andromeda is approximately 1.89 x 10^22 m, which is closest to choice C (2 x 10^22 m).

Question 3

On planet Q the standard unit of volume is called the guppy.Space travelers from Earth have determined that one liter = 36.6 guppies.How many guppies are in 100 liters?

Accepted Answer

To find the number of guppies in 100 liters, multiply 100 liters by 36.6 guppies per liter: 100 * 36.6 = 3,660 guppies.

Question 4

A cereal box has the dimensions of 0.18 m × 0.24 m × 0.080 m.If there are 3.28 feet per meter,then what is the volume of the box in cubic feet?

Accepted Answer

The answer of A cereal box has the dimensions of...

Question 5

How many significant figures does the number 3 600 have?

Accepted Answer

The number of significant figures in "3 600" cannot be determined without additional context or notation to indicate whether the zeros are significant or merely placeholders.

Question 6

Assume everyone in the United States consumes one soft drink in an aluminum can every two days.If there are 280 million Americans,how many tons of aluminum need to be recycled each year if each can weighs 1/17 pound and one ton = 2000 pounds?

Accepted Answer

The answer of Assume everyone in the United States consumes...

Question 7

The mass of the sun is 2.0 × 10³⁰ kg,and the mass of a hydrogen atom is 1.67 × 10−²⁷ kg.If we assume that the sun is mostly composed of hydrogen,how many atoms are there in the sun?

Accepted Answer

The number of hydrogen atoms in the sun can be calculated by dividing the mass of the sun by the mass of one hydrogen atom and then multiplying by Avogadro's number (6.02 × 10^23).

Number of hydrogen atoms in the sun = (2.0 × 10^30 kg) / (1.67 × 10^-27 kg/atom) x (6.02 × 10^23 atoms/mol)
                                  = 1.2 x 10^57 atoms.

Therefore, the best choice is (C), 1.2 × 10^57 atoms.

Question 8

A furlong is a distance of 180 yards.A fortnight is a time period of two weeks.A race horse is running at a speed of 7 yards per second.What is his speed in furlongs per fortnight?
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Accepted Answer

1 furlong = 180 yards1 fortnight = 14 days = 14 * 24 * 60 * 60 secondsSpeed = 7 yards/secondSpeed in furlongs/fortnight = (7 yards/second) * (1 furlong/180 yards) * (1 fortnight/14 * 24 * 60 * 60 seconds)= 7/180 * 1/14 * 24 * 60 * 60= 47,040 furlongs/fortnight

Question 9

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit.If you are measuring an object with length between 8 and 9 cm,how many significant figures will result if you only use the part of the meter stick between the 82- and 93-cm positions?

Accepted Answer

The length of the region between the 82- and 93-cm positions is 93 cm - 82 cm = 11 cm. If the smallest significant digit is in the tenth of a millimeter digit, then the smallest measurable length is 0.1 mm. Converting 11 cm to millimeters, we have 110 mm. So, the number of significant figures in the measurement would be 110 mm / 0.1 mm = 1100. Since the length of the object is between 8 and 9 cm, the measurement result will be between 80 and 90 mm. Therefore, the number of significant figures in this measurement will be 3 (8.0 cm to 9.0 cm with the smallest measurable length of 0.1 mm).

Question 10

Water flows into a swimming pool at the rate of 7 gal/min.The pool is 16 ft wide,31 ft long and 8 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)

Accepted Answer

The answer of Water flows into a swimming pool at...

Question 11

A cement truck can pour 120 cubic yards of cement per hour.Express this in ft³/min.

Accepted Answer

The answer of A cement truck can pour 120 cubic...

Question 12

When NASA was communicating with astronauts on the moon,the time from sending on the Earth to receiving on the moon was 1.28 s.Find the distance from Earth to the moon.(The speed of radio waves is 3.00 × 10⁸ m/s. )

Accepted Answer

We can use the formula:

distance = speed x time

where speed is the speed of radio waves and time is the time it takes for the signal to travel from Earth to the moon and back. Since the signal only travels one way in the time given, we need to multiply the time by 2.

distance = speed x time x 2
distance = (3.00 x 10^8 m/s) x (1.28 s x 2)
distance = 7.68 x 10^8 m

Converting this to kilometers, we get:

distance = 7.68 x 10^8 m ÷ 1000 = 7.68 x 10^5 km

This is closest to answer B, which is 384,000 km.

Question 13

A physics class in a large lecture hall has 150 students.The total mass of the students is about ____ kg.

Accepted Answer

Assuming an average mass of 70 kg per student (which may be a bit generous), the total mass of the students would be: 150 students x 70 kg/student = 10,500 kg This is closest to option C, 10⁶.

Question 14

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit.If you are measuring an object with length between 6 and 7 cm,how many significant figures will result if you only use the part of the meter stick between the 1-cm and 9-cm positions?

Accepted Answer

Using the part of the meter stick between the 1-cm and 9-cm positions, the precision of the measurement is limited to the nearest millimeter, which is equivalent to one significant figure. Therefore, the length between 6 and 7 cm would have three significant figures.

Question 15

An apartment has 1100 ft² of floor space.What is the approximate volume of the apartment?

Accepted Answer

The volume of an apartment can be estimated by multiplying the floor area by an average ceiling height. Assuming a typical ceiling height of about 8-10 feet, the volume would be approximately 1100 ft² * 10 ft = 11,000 ft³, which is closest to 10⁴ ft³.

Question 16

The information on a one-gallon paint can is that the coverage,when properly applied,is 452 ft².One gallon is 231 in³.What is the average thickness of the paint in such an application?

Accepted Answer

To find the average thickness, divide the volume of the paint by the area it covers. Convert the area from square feet to square inches (452 ft² = 65,088 in²). Then, divide the volume (231 in³) by the area (65,088 in²) to get the thickness: 231 in³ / 65,088 in² ≈ 0.0035 in.

Question 17

On planet Z,the standard unit of length is the foose.Ann the Astronaut is 5.80 feet tall on earth.She lands on planet Z and is measured to be 86 foosi tall.Her partner Rachael is 89 foosi tall.How tall is Rachael on Earth?
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Accepted Answer

The answer of On planet Z,the standard unit of length...

Question 18

Which point is nearest the x-axis?

Accepted Answer

The point nearest the x-axis is the one with the smallest absolute value for its y-coordinate, which is (2,3).

Question 19

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

When multiplying, the number of significant figures in the result is equal to the number of significant figures in the factor with the least number of significant figures. In this case, the 2-significant-figure number is the limiting factor. When dividing, the number of significant figures in the result is equal to the number of significant figures in the divisor. Therefore, the result will have 7 significant figures (the same as the divisor). However, since the product only has 2 significant figures, we must round the result to 2 significant figures, giving us a final answer with 2 significant figures.

Question 20

In the text are the following conversion factors:
i.1 mi = 1 609 m
ii.1 m = 39.37 in.
iii.1 ft = 30.48 cm
iv.1 in.= 2.54 cm
The 1 on the left hand side is assumed to have the same number of significant figures as the number on the right hand side of each of these equations.However,2 of these conversion factors are exact,and this means they have the equivalent of an unlimited number of significant figures when used in calculations.Which 2 are the exact conversion factors?

Accepted Answer

In conversion factor iii, 1 ft is exactly equal to 30.48 cm, which means it has an unlimited number of significant figures. 
In conversion factor iv, 1 in. is exactly equal to 2.54 cm, which also means it has an unlimited number of significant figures. Therefore, the exact conversion factors are iii and iv.

Quiz 1: Introduction

The distance to the Andromeda Galaxy is estimated at about 2 × 106 light years.A light year is the distance traveled by light in one year;if the speed of light is 3 × 108 m/s,about how far is it from our galaxy to Andromeda? (1 year = 3.15 × 107 s)

On planet Q the standard unit of volume is called the guppy.Space travelers from Earth have determined that one liter = 36.6 guppies.How many guppies are in 100 liters?

A cereal box has the dimensions of 0.18 m × 0.24 m × 0.080 m.If there are 3.28 feet per meter,then what is the volume of the box in cubic feet?

How many significant figures does the number 3 600 have?

Assume everyone in the United States consumes one soft drink in an aluminum can every two days.If there are 280 million Americans,how many tons of aluminum need to be recycled each year if each can weighs 1/17 pound and one ton = 2000 pounds?

The mass of the sun is 2.0 × 1030 kg,and the mass of a hydrogen atom is 1.67 × 10−27 kg.If we assume that the sun is mostly composed of hydrogen,how many atoms are there in the sun?

A furlong is a distance of 180 yards.A fortnight is a time period of two weeks.A race horse is running at a speed of 7 yards per second.What is his speed in furlongs per fortnight? ​

Water flows into a swimming pool at the rate of 7 gal/min.The pool is 16 ft wide,31 ft long and 8 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)

A cement truck can pour 120 cubic yards of cement per hour.Express this in ft3/min.

When NASA was communicating with astronauts on the moon,the time from sending on the Earth to receiving on the moon was 1.28 s.Find the distance from Earth to the moon.(The speed of radio waves is 3.00 × 108 m/s. )

A physics class in a large lecture hall has 150 students.The total mass of the students is about ____ kg.

An apartment has 1100 ft2 of floor space.What is the approximate volume of the apartment? ​

The information on a one-gallon paint can is that the coverage,when properly applied,is 452 ft2.One gallon is 231 in3.What is the average thickness of the paint in such an application?

On planet Z,the standard unit of length is the foose.Ann the Astronaut is 5.80 feet tall on earth.She lands on planet Z and is measured to be 86 foosi tall.Her partner Rachael is 89 foosi tall.How tall is Rachael on Earth? ​