Mastering Physics Solutions Chapter 1 Introduction To Physics
Chapter 1 Introduction To Physics Q.1CQ
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Chapter 1 Introduction To Physics Q.1P
Spiderman The movie Spider man brought in $114,000,000 in its opening weekend. Express this amount in (a) gigadollars and (b) teradollars.
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Chapter 1 Introduction To Physics Q.2CQ
If a distance d has units of meters, and a time T has units of seconds, does the quantity T + d make sense physically? What about the quantity d/T? Explain in both cases.
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Chapter 1 Introduction To Physics Q.2P
The Thickness of Hair A human hair has a thickness of about 70 µ m. What is this in (a) meters and (b) kilometers?
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Chapter 1 Introduction To Physics Q.3CQ
Is it possible for two quantities to (a) have the same units but different dimensions or (b) have the same dimensions but different units? Explain.
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Chapter 1 Introduction To Physics Q.3P
The speed of light in a vacuum is approximately 0.3 Gm/s. Express the speed of light in meters per second.
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Chapter 1 Introduction To Physics Q.4CQ
Give an order-of-magnitude estimate for the time in seconds of the following: (a) a year; (b) a baseball game; (c) a heartbeat; (d) the age of the Earth; (e) the age of a person.
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Chapter 1 Introduction To Physics Q.4P
A Fast Computer IBM has a computer it calls the Blue Gene/L that can do 136.8 teracalculations per second. How-many calculations can it do in a microsecond?
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Chapter 1 Introduction To Physics Q.5CQ
Give an order-of-magnitude estimate for the length in meters of the following: (a) a person; (b) a fly; (c) a car; (d) a 747 airplane; (e) an interstate freeway stretching coast-to-coast.
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Chapter 1 Introduction To Physics Q.5P
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Chapter 1 Introduction To Physics Q.6P
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Chapter 1 Introduction To Physics Q.7P
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Chapter 1 Introduction To Physics Q.8P
Velocity is related to acceleration and distance by the following expression: v2 = 2axp. Find the power p that makes this equation diniensionally consistent.
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Chapter 1 Introduction To Physics Q.9P
Acceleration is related to distance and time by the following expression: a = 2xtp. Find the power p that makes this equation dimensionally consistent.
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Chapter 1 Introduction To Physics Q.10P
Show that the equation v = v0 + at is dimensionally consistent. Note that v and v0 are velocities and that a is an acceleration.
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Chapter 1 Introduction To Physics Q.11P
Newton’s second law (to be discussed in Chapter 5) states that acceleration is proportional to the force acting on an object and is inversely proportional to the object’s mass. What are the dimensions of force?
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Chapter 1 Introduction To Physics Q.12P
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Chapter 1 Introduction To Physics Q.13P
The first several digits of π are known to be π = 314159265358979…. What is π to (a) three significant figures, (b) five significant figures, and (c) seven significant figures?
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Chapter 1 Introduction To Physics Q.14P
The speed of light to five significant figures is 2.9979 x 108 m/s. What is the speed of light to three significant figures?
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Chapter 1 Introduction To Physics Q.15P
A parking lot is 144.3 m long and 47.66 m wide. What is the perimeter of the lot?
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Chapter 1 Introduction To Physics Q.16P
On a fishing trip you catch a 2.35-lb bass., a 12,1-lb rock cod, and a 12.13-lb salmon. What is the total weight of your catch?
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Chapter 1 Introduction To Physics Q.17P
How many significant figures are there in (a) 0.000054 and (b) 3.001 x 108?
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Chapter 1 Introduction To Physics Q.18P
What is the area of acircle of radius (a) 14.37 mand (b)3.8 m?
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Chapter 1 Introduction To Physics Q.19P
(a) The largest building in the world by volume is the Boeing 747 plant in Everett, Washington. Tt measures approximately 631 m long, 707 yards wide, and 110 ft high. What is its volume in cubic feet? (b) Convert your result from part (a) to cubic meters.
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Chapter 1 Introduction To Physics Q.20P
(a) The largest building in the world by volume is the Boeing 747 plant in Everett, Washington. Tt measures approximately 631 m long, 707 yards wide, and 110 ft high. What is its volume in cubic feet? (b) Convert your result from part (a) to cubic meters.
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Chapter 1 Introduction To Physics Q.21P
The Ark of the Covenant is described as a chest of acacia wood 2.5 cubits in length and 1.5 cubits in width and height. Given that a cubit is equivalent to 17.7 in., find the volume of the ark in cubic feet.
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Chapter 1 Introduction To Physics Q.22P
How long does it take for radiation from a cesium-133 atom to complete 1.5 million cycles?
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Chapter 1 Introduction To Physics Q.23P
Angel Falls Water going over Angel Falls, in Venezuela, the world’s highest waterfall, drops through a distance of 3212 ft. What is this distance in km?
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Chapter 1 Introduction To Physics Q.24P
An electronic advertising sign repeats a message every 7 seconds, day and night, for a week. How many times did the message appear on the sign?
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Chapter 1 Introduction To Physics Q.25P
BIO Blue Whales The blue whale (Balaenoptera musculus) is thought to be the largest animal ever to inhabit the Earth. The longest recorded blue whale had a length of 108 ft. What is this length in meters?
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Chapter 1 Introduction To Physics Q.26P
The Star of Africa The Star of Africa, a diamond in the royal scepter of the British crown jewels, has a mass of 530.2 carats, where 1 carat = 0.20 g. Given that 1 kg has an approximate weight of 2.21 lb, what is the weight of this diamond in pounds?
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Chapter 1 Introduction To Physics Q.27P
Many highways have a speed limit of 55 mi/h. (a) Is this speed greater than, less than, or equal to 55 km/h? Explain. (b) Find the speed limit in km/h that corresponds to 55 mi/h.
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Chapter 1 Introduction To Physics Q.28P
What is the speed in miles per hour of a beam of lighttraveling at 3.00 x 108 m/s?
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Chapter 1 Introduction To Physics Q.29P
Woodpecker Impact When red-headed woodpeckers (Melenerpes erythrocephalus) strike the trunk of a tree, they can experience an acceleration ten times greater than the acceleration of gravity, or about 98, 1 m/s2. What is this acceleration in ft/s2?
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Chapter 1 Introduction To Physics Q.30P
A Jiffy The American physical chemist Gilbert Newton Lewis (1875–1946) proposed a unit of time called the “jiffy.”According to Lewis, 1 jiffy = the time it takes light to travel one centimeter, (a) If you perform a task in a jiffy, how long has it taken in seconds? (b) How many jiffya are in one minute? (Use the fact that the speed of light is approximately 2.9979 x 108 m/s.)
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Chapter 1 Introduction To Physics Q.31P
The Mutchkin and the Noggin (a) A mutchkin is a Scottish unit of liquid measure equal to 0.42 L. How many mutchkins are required to fill a container that measures one foot on a side? (b) A noggin is a volume equal to 0.28 mutchkin. What is the conversion factor between noggins and gallons?
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Chapter 1 Introduction To Physics Q.32P
Suppose 1.0 cubic meter of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick, and that the molecule occupies a cube 0.50 μ m. on a side.
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Chapter 1 Introduction To Physics Q.33P
(a) A standard sheet of paper measures 8 1/2 by 11 inches. Find the area of one such sheet of paper in m2, (b) A second sheet of paper is half as long and half as wide as the one described in part (a). By what factor is its area less than the area found in part (a)?
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Chapter 1 Introduction To Physics Q.34P
Squid Nerve Impulses Nerve impulses in giant axons of the squid can travel with a speed of 20.0 m/s. How fast is this in (a) ft/s and (b) mi/h?
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Chapter 1 Introduction To Physics Q.35P
The acceleration of gravity is approximately 9.81 m/s2 (depending on your location). What is the acceleration of gravity in feet per second squared?
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Chapter 1 Introduction To Physics Q.36P
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Chapter 1 Introduction To Physics Q.37P
Milk is often sold by the gallon in plastic containers, (a) Estimate the number of gallons of milk that are purchased in the United States the year, (b) What approximate weight of plastic does this represent?
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Chapter 1 Introduction To Physics Q.38P
New York is roughly 3000 miles from Seattle. When it is 10:00 A.M. in Seattle, it is 1:00 P.M. in New York. Using this information, estimate (a) the rotational speed of the surface of Earth, (b) the circumference of Earth, and (c) the radius of Earth.
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Chapter 1 Introduction To Physics Q.39P
You’ve just won the $12 million cash lottery, and you go to pick up the prize. What is the approximate weight of the cash if you request payment in (a) quarters or (b) dollar bills?
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Chapter 1 Introduction To Physics Q.40GP
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Chapter 1 Introduction To Physics Q.41GP
Which of the following quantities have the dimensions of an acceleration? (a) xt2, (b) v2/x, (c) x/t2, (d)v/t.
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Chapter 1 Introduction To Physics Q.42GP
Photosynthesis The light that plants absorb to perform photosynthesis has a wavelength that peaks near 675 run. Express this distance in (a) millimeters and (b) inches.
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Chapter 1 Introduction To Physics Q.43GP
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Chapter 1 Introduction To Physics Q.44GP
BIO Mosquito Courtship Male mosquitoes in the mood for mating find female mosquitoes of their own species by listening for the characteristic “buzzing” frequency of the female’s wing beats. This frequency is about 605 wing beats per second, (a) How many wing beats occur in one minute? (b) How many cycles of oscillation does the radiation from a cesium-133 atom complete during one mosquito wing beat?
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Chapter 1 Introduction To Physics Q.45GP
Ten and Ten When Coast Guard para rescue jumpers leap from a helicopter to save a person in the water, they like to jump when the helicopter is flying “ten and ten,” which means it is 10 feet above the water and moving forward with a speed of 10 knots. What is “ten and ten” in SI units? (A knot is one nautical mile per hour, where a nautical mile is 1.852 km.)
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Chapter 1 Introduction To Physics Q.46GP
A Porsche sports car can accelerate at 14m/s2, (a) Is this acceleration greater than, less than, or equal to 14 ft/s2? Explain, (b) Determine the acceleration of a Forsche in ft/s2.
(c) Determine its acceleration in km/h2.
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Chapter 1 Introduction To Physics Q.47GP
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Chapter 1 Introduction To Physics Q.48GP
Brain Growth The mass of a newborn baby’s brain has been found to increase by about 1.6 mg per minute, (a) How much does the brain’s mass increase in one day? (b) How long does it take for the brain’s mass to increase by 0.0075 kg?
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Chapter 1 Introduction To Physics Q.49GP
The Huygens Probe NASA’s Cassini mission to Saturn released a probe on December 25, 2004, that landed on the Saturnian moon Titan on January 14, 2005. The probe, which was named Huygens, was released with a gentle relative speed of 31 cm/5, As Huygens moved away from the main spacecraft, it rotated at a rate of seven revolutions per minute, (a) How many revolutions had Huygens completed when it was 150 yards from the mother ship? (b) How far did Huygens move away from the mother ship during the revolution? Give your answerin feet.
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Chapter 1 Introduction To Physics Q.50GP
Acceleration is related to velocity and time by the following expression: a = vp tq. Find the powers p and q that make this equation dimensionally consistent.
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Chapter 1 Introduction To Physics Q.51GP
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Chapter 1 Introduction To Physics Q.52GP
Driving along a crowded freeway, you notice that it takes a time t to go from one mile marker to the next. When you increase your speed by 7.9 mi/h, the time to go one mile decreases by 13 s. What was your original speed?
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Chapter 1 Introduction To Physics Q.53PP
Which plot in Figure represents the chirping rate of the snowy tree cricket?
A B C D E
All chemical reactions, whether organic or inorganic, proceed at a rate that depends on temperature—the higher the temperature, the higher the rate of reaction. This can be understood in terms of molecules moving with increased energy as the temperature is increased, and colliding with other molecules more frequently. In the case of organic reactions, the result is that metabolic processes speed up with increasing temperature.
An increased or decreased metabolic rule can manifest itself in a number of ways. For example, a cricket trying to attract a mate chirps at a rate that depends on its overall rate of metabolism. As a result, the chirping rate of crickets depends directly on temperature, in fact, some people even use a pet cricket as a thermometer.
The cricket that is most accurate as a thermometer is the snowy tree cricket (Oeamthus fultoni Walker). Its rate of chirping is described by the following formula:
N = number of chirps per 13.0 seconds = T −40.0
In this expression, T is the temperature in degrees Fahrenheit.
Solution:
From the figure plot A starts at 40, plot E starts at 60 and plot D starts at 30 so the chirping rate is not coincide with zero because at 40 degree Fahrenheit the line should be start at zero chirping rate.
Plot C and plot B starts from zero, so they follow chipping rate. From the above calculation chipping rate is linearly proportional to the temperature. Plot B is not a linear plot, so the plot represents chirping rate of snowy tree cricket.
Chapter 1 Introduction To Physics Q.54GP
If the temperature is 43 degrees Fahrenheit, how long does it take for the cricket to chirp 12 times?
A. 12s
B. 24s
C. 43s
D. 52s
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Chapter 1 Introduction To Physics Q.55GP
Your pet cricket chirps 112 times in one minute (60.0 a). What is the temperature in degrees Fahrenheit?
A. 41.9
B. 47.0
C. 64.3
D. 74.7
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Chapter 1 Introduction To Physics Q.56PP
Suppose a snowy cricket is chirping when the temperature is 65.0 degrees Fahrenheit. How many oscillations does the radiation from a cesium-133 atom complete between successive chirps?
A. 7.98 × 107
B. 3.68 × 108
C. 4.78 × 109
D. 9.58 × 109
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