Question 1

Express the sum of 420.77, 13.821, and 2317.8 to the correct number of significant figures.

Accepted Answer

The answer of Express the sum of 420.77, 13.821, and...

Question 2

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in
If a bin has a volume of 1.5 m3, the volume of the bin, in ft3, is closest to

Accepted Answer

A)  35 ft3 
B)  41 ft3 
C)  47 ft3 
D)  53 ft3 
E)  59 ft3 
A)  35 ft3 
B)  41 ft3 
C)  47 ft3 
D)  53 ft3 
E)  59 ft3

Question 3

To get to her physics class, Alice walks 0.25 mi to the bus stop. She takes the bus 1.2 mi to the train station. She takes the train 13 mi and walks the remaining 0.17 mi to her class. How far is her commute expressed to the correct number of significant figures?

Accepted Answer

A)  14.6 mi 
B)  10 mi 
C)  15 mi 
D)  14.62 mi 
E)  14.620 mi 
A)  14.6 mi 
B)  10 mi 
C)  15 mi 
D)  14.62 mi 
E)  14.620 mi

Question 4

In a parallel universe, the quantity π has the value 3.14049… . Express π in that universe to
(a) four significant figures
(b) five significant figures.

Accepted Answer

(a) 3.140

Question 5

A 2.00-qt bottle of soda is on sale for $1.29. What should be the price of a 2.00-L bottle of the same soda to yield the same value? (1.00 qt = 0.947 L)

Accepted Answer

The answer of A 2.00-qt bottle of soda is on...

Question 6

The prefix yotta (Y) signifies a multiple of 1024. How many yottameters are there in a gigameter?

Accepted Answer

Question 7

Add $1299 \mathrm {~g}$ and $45.1 \mathrm {~kg}$ and express your answer in milligrams (mg) to the correct number of significant figures.

Accepted Answer

A)  4.64 × 107 mg 
B)  4.64 × 104 mg 
C)  4.64 × 105 mg 
D)  4.64 × 106 mg 
A)  4.64 × 107 mg 
B)  4.64 × 104 mg 
C)  4.64 × 105 mg 
D)  4.64 × 106 mg

Question 8

How many significant figures are in the number 0.010?

Accepted Answer

A)  four 
B)  three 
C)  two 
D)  one 
A)  four 
B)  three 
C)  two 
D)  one

Question 9

What is the result of the calculation (0.410 + 0.021) × (2.20 × 103)?

Accepted Answer

A)  880 
B)  946 
C)  948 
D)  950 
A)  880 
B)  946 
C)  948 
D)  950

Question 10

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

Accepted Answer

The answer of There are 640 acres in a square...

Question 11

The following conversion equivalents are given: 
1.0 mile = 5280 ft $\quad$1.0 ft = 12 in $\quad$1 m = 39.37 in
1.0 hour = 60 min $\quad$1.0 min = 60 s
If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to

Accepted Answer

A)  2.1 m/s. 
B)  1.7 m/s. 
C)  1.9 m/s. 
D)  2.3 m/s. 
E)  2.5 m/s. 
A)  2.1 m/s. 
B)  1.7 m/s. 
C)  1.9 m/s. 
D)  2.3 m/s. 
E)  2.5 m/s.

Question 12

The column of Trajan, erected in Rome in 106-113 A.D., is 125 feet tall. What is its height in centimeters? (2.54 cm = 1.00 in.)

Accepted Answer

A)  1,510 cm 
B)  591 cm 
C)  2,520 cm 
D)  3,810 cm 
E)  38,100 cm 
A)  1,510 cm 
B)  591 cm 
C)  2,520 cm 
D)  3,810 cm 
E)  38,100 cm

Question 13

The number of significant figures in 10001 is

Accepted Answer

A)  two. 
B)  three. 
C)  five. 
D)  six. 
A)  two. 
B)  three. 
C)  five. 
D)  six.

Question 14

A marathon race is 26 mi and 385 yd long. Estimate how many strides would be required to run a marathon. Assume a reasonable value for the average number of feet/stride.

Accepted Answer

A)  4.5 × 104 strides 
B)  4.5 × 103 strides 
C)  4.5 × 105 strides 
D)  4.5 × 106 strides 
A)  4.5 × 104 strides 
B)  4.5 × 103 strides 
C)  4.5 × 105 strides 
D)  4.5 × 106 strides

Question 15

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd?

Accepted Answer

A)  6.40 m 
B)  36.3 m 
C)  640 m 
D)  1.78 × 103 m 
A)  6.40 m 
B)  36.3 m 
C)  640 m 
D)  1.78 × 103 m

Question 16

What is the sum of 1.53 + 2.786 + 3.3 expressed to the correct number of significant figures?

Accepted Answer

A)  7 
B)  7.6 
C)  7.62 
D)  7.616 
E)  7.6160 
A)  7 
B)  7.6 
C)  7.62 
D)  7.616 
E)  7.6160

Question 17

The radius of the earth is 3963 mi. Which one of the following numbers is closest to the surface area of the earth? (1.0 mi = 1609 m)

Accepted Answer

A)  4.9 × 107 m2 
B)  1.3 × 1014 m2 
C)  2.6 × 1014 m2 
D)  5.1 × 1014 m2 
A)  4.9 × 107 m2 
B)  1.3 × 1014 m2 
C)  2.6 × 1014 m2 
D)  5.1 × 1014 m2

Question 18

Estimate how many pennies would you have to stack to reach from the floor to an average 8-ft ceiling.

Accepted Answer

A)  2 × 103 
B)  2 × 102 
C)  2 × 104 
D)  2 × 105 
E)  2 x 106 
A)  2 × 103 
B)  2 × 102 
C)  2 × 104 
D)  2 × 105 
E)  2 x 106

Question 19

A reasonable estimate for the duration of a typical physics lecture is

Accepted Answer

A)  600 s. 
B)  1000 s. 
C)  3500 s. 
D)  10,000 s. 
A)  600 s. 
B)  1000 s. 
C)  3500 s. 
D)  10,000 s.

Question 20

A spherical fruit has a radius of 3.23 cm. What is the volume of the fruit in cubic meters?

Accepted Answer

A)  1.41 × 10-4 m3 
B)  1.41 m3 
C)  4.23 × 10-4 m3 
D)  4.23 m3 
A)  1.41 × 10-4 m3 
B)  1.41 m3 
C)  4.23 × 10-4 m3 
D)  4.23 m3

Exam 1: Representing Motion

Express the sum of 420.77, 13.821, and 2317.8 to the correct number of significant figures.

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m3, the volume of the bin, in ft3, is closest to

To get to her physics class, Alice walks 0.25 mi to the bus stop. She takes the bus 1.2 mi to the train station. She takes the train 13 mi and walks the remaining 0.17 mi to her class. How far is her commute expressed to the correct number of significant figures?

In a parallel universe, the quantity π has the value 3.14049… . Express π in that universe to (a) four significant figures (b) five significant figures.

A 2.00-qt bottle of soda is on sale for $1.29. What should be the price of a 2.00-L bottle of the same soda to yield the same value? (1.00 qt = 0.947 L)

The prefix yotta (Y) signifies a multiple of 1024. How many yottameters are there in a gigameter?

Add 1299 g1299 \mathrm {~g}1299 g and 45.1 kg45.1 \mathrm {~kg}45.1 kg and express your answer in milligrams (mg) to the correct number of significant figures.

How many significant figures are in the number 0.010?

What is the result of the calculation (0.410 + 0.021) × (2.20 × 103)?

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

The following conversion equivalents are given: 1.0 mile = 5280 ft \quad 1.0 ft = 12 in \quad 1 m = 39.37 in 1.0 hour = 60 min \quad 1.0 min = 60 s If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to

The column of Trajan, erected in Rome in 106-113 A.D., is 125 feet tall. What is its height in centimeters? (2.54 cm = 1.00 in.)

The number of significant figures in 10001 is

A marathon race is 26 mi and 385 yd long. Estimate how many strides would be required to run a marathon. Assume a reasonable value for the average number of feet/stride.

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd?

What is the sum of 1.53 + 2.786 + 3.3 expressed to the correct number of significant figures?

The radius of the earth is 3963 mi. Which one of the following numbers is closest to the surface area of the earth? (1.0 mi = 1609 m)

Estimate how many pennies would you have to stack to reach from the floor to an average 8-ft ceiling.

A reasonable estimate for the duration of a typical physics lecture is

A spherical fruit has a radius of 3.23 cm. What is the volume of the fruit in cubic meters?

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The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m³, the volume of the bin, in ft³, is closest to

The prefix yotta (Y) signifies a multiple of 10²⁴. How many yottameters are there in a gigameter?

Add $1299 \mathrm {~g}$ and $45.1 \mathrm {~kg}$ and express your answer in milligrams (mg) to the correct number of significant figures.

What is the result of the calculation (0.410 + 0.021) × (2.20 × 10³)?

The following conversion equivalents are given: 1.0 mile = 5280 ft $\quad$ 1.0 ft = 12 in $\quad$ 1 m = 39.37 in 1.0 hour = 60 min $\quad$ 1.0 min = 60 s If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to