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college physics reasoning

Questions and Answers of College Physics Reasoning

Throwing heat. In professional baseball, most pitchers can throw a fastball at a speed of 90 mi/h. For simplicity, assume the pitcher releases the ball just above the center of the pitcher’s
Figure P2.53 shows the position as a function of time for an object. (a) What is the average velocity during the period from t = 0.0 s to t = 10.0 s? (b) What is the average velocity
Figure P2.55 shows the position as a function of time for an apple that falls from a very tall tree.? (a) At what time does the apple hit the ground?? (b) Use a graphical approach to estimate and
Identify an action–reaction pair of forces in each of the following situations.(a) A person pushing on a wall(b) A book resting on a table(c) A hockey puck sliding across an icy surface(d) A car
A cheetah runs a distance of 100 m at a speed of 25 m/s and then runs another 100 m in the same direction at a speed of 35 m/s. What is the cheetah’s average speed? Explain why the correct answer
Astronaut frequent-flyer miles. The average speed of a spacecraft while in orbit is about 8900 m/s. How far does the spacecraft travel during a mission that lasts 7.5 days?
A cat is being chased by a dog. Both are running in a straight line at constant speeds. The cat has a head start of 3.5 m. The dog is running with a speed of 8.5 m/s and catches the cat after 6.5 s.
Predator and prey. The author???s cat enjoys chasing chipmunks in the front yard. In this game, the cat sits at one edge of a yard that is w - 30 m across (Fig. P2.59), watching as chipmunks move
A thief is trying to escape from a parking garage after completing a robbery, and the thief???s car is speeding (v = 12 m/s) toward the door of the parking garage (Fig. P2.60). When the thief is L -
The radius of Jupiter is 11 times as large as the radius of Earth. What is the ratio of the volume of Jupiter to the volume of Earth?
Consider the following three vectors, described here by their lengths and angles with respect to the x axis: A(vector): 5.0 cm, 30º; B(vector): 7.5 cm, 0º; and C(vector): 10.0 cm, 350º. (a)
The unit of area called the acre comes from an old system of measurement in which 1 acre is the area of a rectangle whose length is 220 yards and whose width is 22 yards. (a) Determine the
Find the components of the vector C(vector) in parts (a) through (d) of Problem 56.Data From Problem 56A vector A(vector) has a magnitude of 15 (in some unspecified units) and makes an angle of 25º
Consider the equations5x + 2y - 13 -3x + 7y 5- 25(a) Put each equation into the standard format for a straight line (y = mx + b) and plot both lines. Use your graph to find
Which vector in Figure P1.51 might equal A(vector) + B(vector)? Figure P1.51 ? (a) (b) Á -B (c) (d)
A vector has components Ax = 54 m and Ay = 23 m. Find the length of the vector A(vector) and the angle it makes with the x axis.
A ladder of length 2.5 m is leaned against a wall (Fig. P1.44). If the top of the ladder is 1.7 m above the floor, what is the angle the ladder makes with the wall? What angle does it make with the
The car in Figure P1.42 travels a distance of 750 m along the track, and the driver finds that she has traveled through an angle of 450º. What is the radius of the track? Figure P1.42 y
A car travels on a circular track (Fig. P1.42) of radius r = 38 m. If the car travels a distance of 210 m along the track, through what angle (in rad) does the car move? Figure P1.42 y
The thickness of a typical piece of paper is 6 × 10–5 m. Suppose a large stack of papers is assembled, reaching to the top floor of the Empire State Building. Approximately how many pieces of
Steep grade. A mountain road makes an angle θ = 8.5º with the horizontal direction (Fig. P1.45). If the road has a total length of 3.5 km, how much does it climb? That is, find h. Figure P1.45 ? h
Consider the vectors A(vector) and B(vector) in Figure P1.46.? (a) Draw a picture that graphically constructs the sum of these two vectors A(vector) + B(vector) (i.e., similar to what was done in
A vector of length of 2.5 m makes an angle of 38º with the y axis. Find the components of the vector.
Which of the vectors in Figure P1.49 have approximately the same magnitude? Figure P1.49 ? (a). L(b)시 (c)_ (d). (e) (f) (g) (h)
Which of the vectors in Figure P1.49 have approximately the same direction? Figure P1.49 ? (a). L(b)시 (c)_ (d). (e) (f) (g) (h)
A vector in x-y plane has a length of 4.5 m and y-component of -2.7m. What angle does this vector make with the X-axis? Why does this problem have two answers?
Consider a map oriented so that the x axis runs east–west (with east being the “positive” direction) and y runs north–south (with north “positive”). A person drives 15 km to the west and
Consider a map oriented so that the x axis runs east–west (with east being the “positive” direction) and y runs north–south (with north “positive”). A person drives 25 km to the north,
Consider the vector C(Vector) in Figure P1.55. Construct a drawing that shows the vector C(Vector) along with the vector 4C(Vector), - C(Vector), and - 3C(Vector). Figure P1.55 y
A vector A(vector) has a magnitude of 15 (in some unspecified units) and makes an angle of 25º with the x axis, and a vector B(vector) has a magnitude of 25 and make an angle of 70º with the x
A boater travels from some initial point P1?to a final point P2along the dashed line shown in Figure P1.58. Find θ and the total distance traveled. Figure P1.58 ? y P -77 m- 195 m P2
A car starts from the origin and is driven 1.2 km south and then 3.1 km in a direction 53º north of east. Relative to the origin, what is the car’s final location? Express your answer in terms of
A mountaineer uses a global positioning system receiver to measure his displacement from base camp to the top of Mount McKinley. The coordinates of base camp are x = 0, y = 0, and z = 4300 m (here z
Estimate the number of times a student’s heart will beat during the 4 years she is a college student.
The solar system in perspective. The diameters of the Earth and the Sun are approximately 1.3 × 107 m and 1.4 × 109 m respectively, and the average Sun–Earth distance is 1.5 × 1011 m. Consider a
A typical human baby at birth is about 20 inches as measured from head to toe. An adult is much longer. What is the approximate ratio of the height of an adult female to the length of a baby at birth?
You wish to replace the flooring in your kitchen with square linoleum tiles that measure 12 inches on a side. If your kitchen has a floor area of 10.7 square yards, how many such tiles will you need
A river flows with a current of 5.0 mi/h directly south. A small boat has a maximum speed in still water (i.e., on a quiet lake) of 10 mi/h. The pilot points the boat due east and sets the engine at
Approximately how many cells are there in the human body?
Approximately how fast does human hair grow? Express your answer in m/s.
At room temperature, 1.0 g of water has a volume of 1.0 cm3. (a) What is the approximate volume of one water molecule? (b) The human body is composed mainly of water. Assuming for
A person stretches a rope of length 55 m between the top of a building to the base of a tree 25 m away (Fig. P1.71). How tall is the building? Figure P1.71 ? -Rope +25 m→|
If Saturn could fit in a bathtub, would it float? Use the planetary data in Appendix A to calculate the density (mass/volume) of Earth, Mars, Jupiter, and Saturn. What are the differences? Can you
Two vectors have lengths A = |A(vector)| = 12 m and B - |B(vector)| - 17 m, but their directions are unknown. (a) What are the maximum and minimum possible values of A(vector) +
You are on a road trip, traveling by expressway from one city to another, without stopping and without leaving the expressway. If you obey the speed limit, approximately how far do you travel in 30
An angle has a value of 1.25 radians. Find its value in degrees.
An angle has a value of 738. Find its value in radians.
Find values of x, y, and r in Figure 1.8 that will give a right triangle in which one of the triangle???s interior angles is 0.70 radian. Figure 1.8 ? x2 + y2 = r2 y Right angle = 90°
A right triangle has an interior angle of 25º. What are the values of the other interior angle (the one besides the right angle)?
A right triangle (Fig. 1.8) has sides of length x = 4.5 m and y = 3.7 m.? (a) Find the value of r (the length of the hypotenuse).? (b) Find the values of the interior angles. Express your answers in
Consider the motion of the hour hand of a clock. What angle does the hour hand make with respect to the vertical 12 o’clock position when it is (a) 3:00, (b) 6:00, (c) 6:30, (d)
Two well-known organic chemicals are benzene, C6H6, and propane, C3H8. Benzene has a molecular weight of 78.11 g/mol and propane 44.096 g/mol, where the molecular weight is a useful measure in
The speed v of a bullet satisfies the relation vt = 95 m, where t = 0.25 s. Find v.
Consider the equation 5x – 17 = 10x – 27. Solve for x.
The variable m has dimensions of mass, h and y have dimensions of length, and t has dimensions of time. What are the dimensions of the following quantities? (a) my/t, (b) hy/t2, (c)
Consider the equation mgh -1/2mv2, where m has units of mass (kilograms), g has units of length/time2 (m/s2), h has units of length (meters), and v has units of length/time (m/s). (a) Is this
Sports cars. A Corvette C4 (circa 1971) came equipped with a huge 454 V8 engine, where the volume of the combustion chambers summed to 454 cubic inches (in.3). In modern engines, this volume is
It takes about 190 s for light to travel from the Sun to the planet Mercury (the planet closest to the Sun) and about 15,000 s for light to travel from the Sun to Neptune (the farthest planet).
A cardboard box can hold exactly 1 cubic meter of volume (1 m3). Use the conversion factors 1 m = 100 cm = 1000 mm to find this volume expressed in units of (a) Cubic centimeters and (b)
Michael Jordan is approximately 6.5 ft tall. What is his height in millimeters?
A bottle has a volume of 1.2 L. (a) What is its volume in cubic centimeters? (b) In cubic meters?
A card table has a top surface area of exactly 1 square meter (1 m2). What is its area as measured in (a) Square centimeters and (b) Square millimeters?
Express the distance from Chicago to New York City (Table 1.1, page 5) in (a) Miles, (b) Inches, (c) Kilometers, (d) Micrometers. TABLE 1.1 Some Common Lengths and Distances
Express 5.0 m in units of (a) Centimeters, (b) Feet, (c) Inches, (d) Miles.
An object has a mass of 273 g. What is its mass in kilograms?
Express 75 ft in units of (a) Meters and (b) Millimeters.
The age of the universe is about 5 Ã— 1017 s (Table 1.2, page 11). Express this age in years. TABLE 1.2 Some Common Time Intervals Time in Seconds (s) Quantity Time for light to
A U.S. football field is 120 yards long (including the end zones). How long is the field in (a) Meters, (b) Millimeters, (c) Feet, and (d) Inches?
What is the volume of a basketball?
Calculate the volume of a typical 1000-page textbook. Express your answer in cubic meters (m3) and in cubic centimeters (cm3).
Write the following values using scientific notation. (a) The radius of the Earth, 6,370,000 m. (b) The distance from the Earth to the Moon, 384,000 km. (c) The mass of the Earth,
(a) Estimate the number of times your heart beats in 1 year. Express your answer in scientific notation. (b) Some people have (jokingly) suggested that each person has only a certain number of
A hydrogen atom has a diameter of approximately 10–10 m. If this atom were expanded to the size of an apple, how big would a real apple be if it were expanded by the same amount? Can yous think of
For each of the following formulas and associated values, find and express the solution with the appropriate number of significant figures and units. (a) The area A of a rectangle of length L =
The speed of light is c = 299,792,458 m/s. (a) Write this value in scientific notation. (b) What is the value of c to four significant figures?
The magnitude of the momentum of an object is the product of its mass m and speed v. If m = 6.5 kg and v = 1.54 m/s, what is the magnitude of the momentum? Be sure to give the correct number of
The mass of an object is m = 23 kg, and its volume is V = 0.005 m3. What is its density, m/V? Be sure to give the correct number of significant figures in your answer.
A football field in the United States is 120 yards long (including the end zones). With how many significant figures do you think this value should be written?
The distance from point B to point D in Figure P1.7 is 3.15 km while the distance from A to B is 3.45 km. What is the distance from A to D? Be sure to give the correct number of significant figures
Astronomical distances. Spiral galaxies like our own Milky Way measure approximately 2 × 105 light-years in diameter, where 1 light-year (ly) equals the distance traveled by light in 1 year. Our
Points A, B, C, and D in Figure P1.7 lie along a line. The distance from point A to point B is 3.45 km, and the distance from B to CFigure P1.7is 5.4 km. What is the distance from A to C? Be sure to
Give and discuss one advantage and one disadvantage of the SI system compared with the U.S. customary system of units.
A bucket contains several rocks with a combined mass (including the bucket) of 4.55 kg. Another rock of mass 0.224 kg is added to the bucket. What is the total mass of the bucket plus rocks? Be sure
Which of the following quantities have the properties of a vector and which have the properties of a scalar?mass................................densityvelocity
Determine the number of significant figures for all the values listed in Tables 1.2 and 1.3 (see page 11) that are not exact values..Table 1.2 Number of Significant Figures for Each Quantity Time
The standard meter used to be a metal bar composed of platinum and iridium. The current standard is based on the measured speed of light and an optical device called an interferometer. What
A red blood cell has a radius of approximately 5.0 × 10–6 m. A large number of red blood cells are laid side by side in a line of length 1.0 m. How many cells are in the line?
What physical property, process, or situation is described by the following combinations of primary units? (For example, the combination of units kilograms per square meter can be used to measure the
You decide to walk from Chicago to New York City. Approximately how many steps will you take during this journey?
Which of the following are units of volume?cubic meters................acres/m2mm × mi2......................hours × mm3/skiloseconds × ft2..........mm × cm × mm2/ftkg2 × cm
You take a long walk on a sandy beach. When you return home, you dump the sand out of one of your shoes and find that the pile has a volume of 1.5 cm3. If the volume of one grain of sand is
Discuss the difficulties of giving a definition of the concept of “time” without using any other scientific terms.
Suppose a friend told you that the density of a sphere is 4/3 πr4, where r is the radius of the sphere. Compute the dimensions of this expression and show that it cannot be correct.

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