Salt water is more dense than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt water is
Answer: less
A piece of wood is floating in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what happens to the water level in the tub?
A piece of wood is floating in a bathtub. A second piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, what happens to the water level in the tub?
Answer: It does not change
One day, while swimming below the surface of the ocean, you let out a number of bubbles of air from your mouth. As the bubbles rise toward the surface, their diameters will
One day, while swimming below the surface of the ocean, you let out a number of bubbles of air from your mouth. As the bubbles rise toward the surface, their diameters will
Answer: increase
The SI unit of pressure is
The SI unit of pressure is
Answer: Pa, N/m^2, kg/m^2/s^2
In the ideal gas formula, temperature must be measured in what unit?
In the ideal gas formula, temperature must be measured in what unit?
Answer: K
A rock is suspended from a scale reads 10.0 N. A beaker of water is raised up so the rock is totally submerged in the water. The scale now reads 6.25 N. What is the density of the rock?
A rock is suspended from a scale reads 10.0 N. A beaker of water is raised up so the rock is totally submerged in the water. The scale now reads 6.25 N. What is the density of the rock?
Answer: 2.67 times the density of water
How many atoms are there in a mole of Hydrogen (H2) gas?
How many atoms are there in a mole of Hydrogen (H2) gas?
Answer: 1.20×10^24
You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you?
You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you?
Answer: It less than doubles
50 cm3 of wood is floating on water, and 50 cm3 of iron is totally submerged. Which has the greater buoyant force on it?
50 cm3 of wood is floating on water, and 50 cm3 of iron is totally submerged. Which has the greater buoyant force on it?
Answer: the iron
A steel ball sinks in water but floats in a pool of mercury. Where is the buoyant force on the ball greater?
A steel ball sinks in water but floats in a pool of mercury. Where is the buoyant force on the ball greater?
Answer: floating on the mercury
"An external pressure applied to an enclosed fluid is transmitted unchanged to every point within the fluid" is known as
"An external pressure applied to an enclosed fluid is transmitted unchanged to every point within the fluid" is known as
Answer: Pascal's principle
How many atoms are there in a mole of Helium (He) gas?
How many atoms are there in a mole of Helium (He) gas?
Answer: 6.02×10^23
Substance A has a density of 3.0 g/cm3 and substance B has a density of 4.0 g/cm3. In order to obtain equal masses of these two substances, the ratio of the volume of A to the volume of B will be equal to
Substance A has a density of 3.0 g/cm3 and substance B has a density of 4.0 g/cm3. In order to obtain equal masses of these two substances, the ratio of the volume of A to the volume of B will be equal to
Answer: 4:3
Salt water has greater density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat?
Salt water has greater density than fresh water. A boat floats in both fresh water and in salt water. Where is the buoyant force greater on the boat?
Answer: Buoyant force is the same in both
Atmospheric pressure is approximately
Atmospheric pressure is approximately
Answer: 1.01×10^5 Pa
How many atoms are there in a mole of Helium (He) gas?
How many atoms are there in a mole of Helium (He) gas?
Answer: 6.02×10^23
What happens when water at its melting point solidifies to ice without any change in temperature?
What happens when water at its melting point solidifies to ice without any change in temperature?
Answer: Latent heat is emitted
Which of the following is true during a phase change?
Which of the following is true during a phase change?
Answer: Temperature remains constant
5000 J of heat is supplied in one minute to 0.06 kg of a liquid at its boiling point of 85°C to convert it completely to vapor. Which of the following expressions gives the heat of vaporization of the liquid?
5000 J of heat is supplied in one minute to 0.06 kg of a liquid at its boiling point of 85°C to convert it completely to vapor. Which of the following expressions gives the heat of vaporization of the liquid?
Answer: (5000*85)/.06 J°C/kg
How is energy transferred as heat always directed?
How is energy transferred as heat always directed?
Answer: from an object at high temperature to an object at low temperature
To which of the following is high temperature related?
To which of the following is high temperature related?
Answer: high particle kinetic energy
In the formula Q= mc(deltaT) , which quantity is measured in units of J/g·°C?
In the formula Q= mc(deltaT) , which quantity is measured in units of J/g·°C?
Answer: c
If two small beakers of water, one at 70°C and one at 80°C, are emptied into a large beaker, what is the final temperature of the water?
If two small beakers of water, one at 70°C and one at 80°C, are emptied into a large beaker, what is the final temperature of the water?
Answer: The final temperature is between 70°C and 80°C
Which of the following physical properties can be used to measure temperature using a thermometer?
Which of the following physical properties can be used to measure temperature using a thermometer?
Answer: volume
50 g of ice at 0°C is dropped in a beaker containing 100 g of water at 0°C. What will be the contents of the beaker after 5 hours? Assume that the room temperature is 0°C.
50 g of ice at 0°C is dropped in a beaker containing 100 g of water at 0°C. What will be the contents of the beaker after 5 hours? Assume that the room temperature is 0°C.
Answer: 50 g of ice and 100 g of water
The use of fiberglass insulation in the outer walls of a building is intended to minimize heat transfer through what process?
The use of fiberglass insulation in the outer walls of a building is intended to minimize heat transfer through what process?
Answer: conduction
How many atoms are there in a mole of Hydrogen (H2) gas?
How many atoms are there in a mole of Hydrogen (H2) gas?
Answer: 1.20×10^24
What happens to the internal energy of an ideal gas when it is heated from 0°C to 4°C?
What happens to the internal energy of an ideal gas when it is heated from 0°C to 4°C?
Answer: It increases
Which of the following best describes the relationship between two systems in thermal equilibrium?
Which of the following best describes the relationship between two systems in thermal equilibrium?
Answer: No net energy is exchanged
Energy transferred as heat occurs between two bodies in thermal contact when they differ in which of the following properties?
Energy transferred as heat occurs between two bodies in thermal contact when they differ in which of the following properties?
Answer: temperature
To melt 4 kg of a solid, 10^6 J of heat is required. Which of the following expressions gives the heat of fusion of the solid?
To melt 4 kg of a solid, 10^6 J of heat is required. Which of the following expressions gives the heat of fusion of the solid?
Answer: 10^6/4 J/kg
If energy is transferred from a table to a block of ice moving across the table, which of the following statements is true?
If energy is transferred from a table to a block of ice moving across the table, which of the following statements is true?
Answer: The ice is cooler than the table
Which of the following is proportional to the kinetic energy of atoms and molecules?
Which of the following is proportional to the kinetic energy of atoms and molecules?
Answer: temperature
The figure above shows how the temperature of 10.0 g of ice changes as energy is added. Which of the following statements is correct?
The figure above shows how the temperature of 10.0 g of ice changes as energy is added. Which of the following statements is correct?
Answer: The water absorbed energy continuously, but the temperature increased only when all of the water was in one phase
Which of the following is a direct cause of a substance's temperature increase?
Which of the following is a direct cause of a substance's temperature increase?
Answer: Kinetic energy is added to the particles of the substance
Which variables should be plotted in order to produce a straight-line graph with the slope equal to k?
The speed of sound v in a gas is related to the pressure of the gas by the expression
v= (kP)^1/2
where k is a constant.
Which variables should be plotted in order to produce a straight-line graph with the slope equal to k?
Answer: v^2 against P
A particle is moving in a circular path of radius r. The time taken for one complete revolution is T. The acceleration a of the particle is given by the expression
A particle is moving in a circular path of radius r. The time taken for one complete revolution is T. The acceleration a of the particle is given by the expression
a= (4pi^2r)/(T^2)
Which one of the following graphs would produce a straight line?
Answer: a against 1/T^2
The frequency f is measured for different values of length l and a graph is plotted. Which one of the following will produce a straight line graph?
The frequency of an oscillating system is given by
f= (1/2pi)(g/l)^1/2
where g and pi are constants.
The frequency f is measured for different values of length l and a graph is plotted. Which one of the following will produce a straight line graph?
y x
1. f^1/2 l^1/2
2. f^1/2 l
3. f^2 1/l
4. f^2 l^1/2
Answer: 3
The time period T of oscillatioin of a mass m suspended from a vertical spring is given by the expression
The time period T of oscillatioin of a mass m suspended from a vertical spring is given by the expression
T= (2pi)(m/k)^1/2
where k is a constant.
Which one of the following plots will give rise to a straight-line graph?
Answer: T^2 against m
Time has been measured such that t = 16.7s ±0.5s. Calculate the value of and uncertainty in t^2.
Time has been measured such that t = 16.7s ±0.5s. Calculate the value of and uncertainty in t^2.
Answer: (279±1) s^2
0.00325 × 10-8 cm can also be expressed in mm as
0.00325 × 10-8 cm can also be expressed in mm as
Answer: 3.25 × 10^-10 mm
How many meters is sixty kilometers?
How many meters is sixty kilometers?
Answer: 60,000 m
How many grams is forty milligrams?
How many grams is forty milligrams?
Answer: 0.0 40 g
100 mL is equivalent to which of the following?
100 mL is equivalent to which of the following?
Answer: 0.1 L
Write the number 13.5 gigameters as full (decimal) numbers with standard units.
Write the number 13.5 gigameters as full (decimal) numbers with standard units.
Answer: 13,500,000,000 m
Write out the number 8.42 × 10^-5 in full with a decimal point and correct number of zeros.
Write out the number 8.42 × 10^-5 in full with a decimal point and correct number of zeros.
Answer: 0.0000842
Convert 1.2 × 10^-3 to decimal notation.
Convert 1.2 × 10^-3 to decimal notation.
Answer: 0.0012
4567.89 is properly expressed in scientific notation as
4567.89 is properly expressed in scientific notation as
Answer: 4.56789 × 10^3
0.0001776 can also be expressed as
0.0001776 can also be expressed as
Answer: 1.776 × 10^-4
Write the number 0.00045 in power of ten notation.
Write the number 0.00045 in power of ten notation.
Answer: 4.5 × 10^-4
A rectangular garden measures 15 m long and 13.7 m wide. What is the length of a diagonal from one corner of the garden to the other?
A rectangular garden measures 15 m long and 13.7 m wide. What is the length of a diagonal from one corner of the garden to the other?
Answer: 20 m
A rectangle is 3.25 m long and 1.5 m wide. What is its area?
A rectangle is 3.25 m long and 1.5 m wide. What is its area?
Answer: 4.9 m^2
The length and width of a rectangle are 1.125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by adding these and multiplying by two. Your calculator's display reads 3.462. To the correct number of significant figures, this should be written as
The length and width of a rectangle are 1.125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by adding these and multiplying by two. Your calculator's display reads 3.462. To the correct number of significant figures, this should be written as
Answer: 3.462 m
The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as
The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as
Answer: 0.682 m^2
What is the result of 2.43 ÷ 4.561 expressed with the correct number of significant digits?
What is the result of 2.43 ÷ 4.561 expressed with the correct number of significant digits?
Answer: 5.33 × 10^-1
What is the product of 12.99 and 4.05 expressed with the correct number of significant digits?
What is the product of 12.99 and 4.05 expressed with the correct number of significant digits?
Answer: 52.6
What is the difference between 107.7 and 105.29 expressed with the correct number of significant digits?
What is the difference between 107.7 and 105.29 expressed with the correct number of significant digits?
Answer: 2.4
What is the sum of 3.08 + 1.574 + 3.4 expressed with the correct number of significant digits?
What is the sum of 3.08 + 1.574 + 3.4 expressed with the correct number of significant digits?
Answer: 8.1
Which of the following has three significant figures?
Which of the following has three significant figures?
Answer: 0.0500 mm
The number of significant figures in 0.040 is
The number of significant figures in 0.040 is
Answer: two
The number of significant figures in 0.01500 is
The number of significant figures in 0.01500 is
Answer: four
The number of significant figures in 10001 is
The number of significant figures in 10001 is
Answer: five
What is the volume, and its approximate uncertainty, of a sphere of radius 1.96 ± 0.05 m?
What is the volume, and its approximate uncertainty, of a sphere of radius 1.96 ± 0.05 m?
Answer: 30 ± 20 m^2
What is the percent uncertainty in the measurement 1.25 ± 0.07 cm?
What is the percent uncertainty in the measurement 1.25 ± 0.07 cm?
Answer: 5.6%
What is the conversion factor between cm^2 and m^2?
What is the conversion factor between cm^2 and m^2?
Answer: 0.0001 m^2/cm^2
What is the conversion factor between km/h^2 and m/s^2?
What is the conversion factor between km/h^2 and m/s^2?
Answer: 7.72 × 10^-6 m/s^2
What is the conversion factor between km/h and m/s?
What is the conversion factor between km/h and m/s?
Answer: 0.278 m/s
The metric prefix for one thousand is
The metric prefix for one thousand is
Answer: kilo
The metric prefix for one one-thousandth is
The metric prefix for one one-thousandth is
Answer: milli
The base SI unit of time is
The base SI unit of time is
Answer: second
How many fundamental units does the SI system have?
How many fundamental units does the SI system have?
Answer: seven
All of the following are base units of the SI system except:
All of the following are base units of the SI system except:
Answer: volt
A useful method of expressing very small or very large numbers is
A useful method of expressing very small or very large numbers is
Answer: scientific notation
Estimate the number of times an average person's heart beats in a lifetime. Assume the average heart rate is 73 beats/min and a life span of 74 yr.
Estimate the number of times an average person's heart beats in a lifetime. Assume the average heart rate is 73 beats/min and a life span of 74 yr.
Answer: 3*10^9 beats
An elephant has a life expectancy of 60 years. Which of the following gives the order of magnitude of this lifetime?
An elephant has a life expectancy of 60 years. Which of the following gives the order of magnitude of this lifetime?
Answer: 10^9 s
The molar mass of water is 18g per mole. The approximate number of water molecules in a glass of water is
The molar mass of water is 18g per mole. The approximate number of water molecules in a glass of water is
Answer: 10^25
The time interval between human heartbeats is of the order of
The time interval between human heartbeats is of the order of
Answer: 10^0 s
The length of a page of an examination paper is approximately 30 cm. Which of the following gives the order of magnitude for the time taken for light to travel the length of the page?
The length of a page of an examination paper is approximately 30 cm. Which of the following gives the order of magnitude for the time taken for light to travel the length of the page?
Answer: 10^-9 s
The mass of an electron is 9.1×10^-31kg and that of a proton is 1.7×10^-27kg. Which one of the following is the difference in the order of magnitude of the masses of the electron and the proton?
The mass of an electron is 9.1×10^-31kg and that of a proton is 1.7×10^-27kg. Which one of the following is the difference in the order of magnitude of the masses of the electron and the proton?
Answer: 3
The mass of an atom of the isotope strontium-92 is of the order
The mass of an atom of the isotope strontium-92 is of the order
Answer: 10^-25
The ratio (diameter of a hydrogen atom)/(diameter of a hydrogen nucleus) to the nearest order of magnitude is
The ratio (diameter of a hydrogen atom)/(diameter of a hydrogen nucleus) to the nearest order of magnitude is
Answer: 10^5
The order of magnitude of the weight of an apple is
The order of magnitude of the weight of an apple is
1Answer: N
The angle measured counterclockwise from the x-axis to vector A, in degrees, is closest to:
The angle measured counterclockwise from the x-axis to vector A, in degrees, is closest to:
Answer: 314
Vector A has length 4 units and directed to the north. Vector B has length 9 units and is directed to the south. Calculate the magnitude and direction of A + B.
Vector A has length 4 units and directed to the north. Vector B has length 9 units and is directed to the south. Calculate the magnitude and direction of A + B.
Answer: 5 units, south
Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. The y-component of A is
Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. The y-component of A is
Answer: -4.0 m
Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the sum
Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the sum
Answer: could be as small as 2.0 m, or as large as 12 m
The resultant of two vectors is the smallest when the angle between them is
The resultant of two vectors is the smallest when the angle between them is
Answer: 180°
Which of the following is an accurate statement?
Which of the following is an accurate statement?
A) The magnitude of a vector can be less than the magnitude of one of its components.
B) A vector cannot have zero magnitude if one of its components is not zero.
C) If the magnitude of vector A is less than the magnitude of vector B, then the x-component of A is less than the x-component of B.
D) The magnitude of a vector can be positive or negative.
Answer: B) A vector cannot have zero magnitude if one of its components is not zero.
A rectangular garden measures 15 m long and 13.7 m wide. What is the length of a diagonal from one corner of the garden to the other?
A rectangular garden measures 15 m long and 13.7 m wide. What is the length of a diagonal from one corner of the garden to the other?
Answer: 20 m
Find the resultant of these two vectors: 2.00 × 10^2 units due east and 4.00 × 10^2 units 30.0° north of west.
Find the resultant of these two vectors: 2.00 × 10^2 units due east and 4.00 × 10^2 units 30.0° north of west.
Answer: 248 units, 53.9° north of west
In a coordinate system, a vector is oriented at angle q with respect to the x-axis. The y component of the vector equals the vector's magnitude multiplied by which trigonometric function?
In a coordinate system, a vector is oriented at angle q with respect to the x-axis. The y component of the vector equals the vector's magnitude multiplied by which trigonometric function?
Answer: sin q
In a coordinate system, a vector is oriented at angle q with respect to the x-axis. The x component of the vector equals the vector's magnitude multiplied by which trigonometric function?
In a coordinate system, a vector is oriented at angle q with respect to the x-axis. The x component of the vector equals the vector's magnitude multiplied by which trigonometric function?
Answer: cos q
For the winter, a duck flies 10.0 m/s due south against a gust of wind with a speed of 2.5 m/s. What is the resultant velocity of the duck?
For the winter, a duck flies 10.0 m/s due south against a gust of wind with a speed of 2.5 m/s. What is the resultant velocity of the duck?
Answer: 7.5 m/s south
Identify the following quantities as scalar or vector: the mass of an object, the number of leaves on a tree, wind velocity.
Identify the following quantities as scalar or vector: the mass of an object, the number of leaves on a tree, wind velocity.
Answer: scalar, scalar, vector
Which of the following is an example of a vector quantity?
Which of the following is an example of a vector quantity?
A) velocity
B) temperature
C) volume
D) mass
Answer: A) velocity
Which of the following is a physical quantity that has a magnitude but no direction?
Which of the following is a physical quantity that has a magnitude but no direction?
A) vector
B) scalar
C) resultant
D) frame of reference
Answer: A) scalar
From the triangle shown in Image 1.1, what is the magnitude of angle A (in degrees), if a=120cm and b=215cm?
From the triangle shown in Image 1.1, what is the magnitude of angle A (in degrees), if a=120cm and b=215cm?
Answer: 29°
From the triangle shown in Image 1.1, what is the length of side c if a = 13cm and b = 22cm?
From the triangle shown in Image 1.1, what is the length of side c if a = 13cm and b = 22cm?
Answer: 26 cm
A motorist travels for 3.0 h at 80 km/h and 2.0 h at 100 km/h. What is her average speed for the trip?
A motorist travels for 3.0 h at 80 km/h and 2.0 h at 100 km/h. What is her average speed for the trip?
Answer: 88 km/h
If you run a complete loop around an outdoor track (400 m), in 100 s, your average velocity is
If you run a complete loop around an outdoor track (400 m), in 100 s, your average velocity is
Answer: zero
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