The Huygens Probe NASAs Cassini mission to Saturn released

Spiderman The movie Spiderman brought in $114,000,000 in its opening weekend. Express this amount in (a) gigadollars and (b) teradollars.

The Thickness of Hair A human hair has a thickness of about What is this in (a) meters and (b) kilometers?

The speed of light in a vacuum is approximately 0.3 Gm/s. Express the speed of light in meters per second.

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?

Which of the following equations are dimensionally con- sistent? (a) , (b) , (c) .

Which of the following quantities have the dimensions of a distance? (a) vt, (b) , (c) , (d)

Which of the following quantities have the dimensions of a speed? (a) , (b) at, (c) , (d) .

Velocity is related to acceleration and distance by the following expression: . Find the power p that makes this equation dimensionally consistent.

Acceleration is related to distance and time by the following expression: . Find the power pthat makes this equation dimensionally consistent.

Show that the equation is dimensionally consistent. Note that vand are velocities and that ais an acceleration.

Newtons 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 objects mass. What are the dimensions of force?

The time Trequired for one complete oscillation of a mass m on a spring of force constant k is Find the dimensions kmust have for this equation to be dimensionally correct.

The rst several digits of are known to be What is to (a) three signicant gures, (b) ve signicant gures, and (c) seven signicant gures?

The speed of light to ve signicant gures is What is the speed of light to three signicant gures?

A parking lot is 144.3 m long and 47.66 m wide. What is the perimeter of the lot?

On a shing 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?

How many signicant gures are there in (a) 0.000054 and (b)

What is the area of a circle of radius (a)14.37 m and (b)3.8 m?

Mantis Shrimp Peacock mantis shrimps (Odontodactylus scyllarus) feed largely on snails. They shatter the shells of their prey by delivering a sharp blow with their front legs, which have been observed to reach peak speeds of 23 m/s. What is this speed in (a) feet per second and (b) miles per hour?

(a) The largest building in the world by volume is the Boeing 747 plant in Everett, Washington. It 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.

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., nd the volume of the ark in cubic feet.

How long does it take for radiation from a cesium-133 atom to complete 1.5 million cycles?

Angel Falls Water going over Angel Falls, in Venezuela, the worlds highest waterfall, drops through a distance of 3212 ft. What is this distance in km?

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?

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?

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 . Given that 1 kg has an approximate weight of 2.21 lb, what is the weight of this diamond in pounds?

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.

What is the speed in miles per hour of a beam of light traveling at 29

Woodpecker Impact When red-headed woodpeckers (Melanerpes erythrocephalus) strike the trunk of a tree, they can experience an acceleration ten times greater than the acceleration of gravity, or about . What is this acceleration in

A Jiffy The American physical chemist Gilbert Newton Lewis (18751946) 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 jiffys are in one minute? (Use the fact that the speed of light is approximately .)

The Mutchkin and the Noggin (a) Amutchkin is a Scottish unit of liquid measure equal to 0.42 L. How many mutchkins are required to ll a container that measures one foot on a side? (b)Anoggin is a volume equal to 0.28 mutchkin. What is the conversion factor between noggins and gallons?

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 each molecule occupies a cube on a side.

(a)Astandard sheet of paper measures 8 1/2 by 11 inches. Find the area of one such sheet of paper in . (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)?

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?

The acceleration of gravity is approximately (depending on your location). What is the acceleration of gravity in feet per second squared?

Give a ballpark estimate of the number of seats in a typical major league ballpark.

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 each year. (b) What approximate weight of plastic does this represent?

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.

Youve 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?

Which of the following equations are dimensionally consistent? (a) , (b) , (c) , (d) .

Which of the following quantities have the dimensions of an acceleration? (a) , (b) , (c) , (d) v/t.

Photosynthesis The light that plants absorb to perform photosynthesis has a wavelength that peaks near 675 nm. Express this distance in (a) millimeters and (b) inches.

Glacial Speed On June 9, 1983, the lower part of the Variegated Glacier in Alaska was observed to be moving at a rate of 210 feet per day. What is this speed in meters per second?

Mosquito Courtship Male mosquitoes in the mood for mating nd female mosquitoes of their own species by listening for the characteristic buzzing frequency of the females 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?

Ten and Ten When Coast Guard pararescue jumpers leap from a helicopter to save a person in the water, they like to jump when the helicopter is ying 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.)

A Porsche sports car can accelerate at (a) Is this acceleration greater than, less than, or equal to Explain. (b) Determine the acceleration of a Porsche in (c) Determine its acceleration in km/h2.

Human Nerve Fibers Type Anerve bers in humans can conduct nerve impulses at speeds up to 140 m/s. (a) How fast are the nerve impulses in miles per hour? (b) How far (in meters) can the impulses travel in 5.0 ms?

Brain Growth The mass of a newborn babys brain has been found to increase by about 1.6 mg per minute. (a)How much does the brains mass increase in one day? (b) How long does it take for the brains mass to increase by 0.0075 kg?

The Huygens Probe NASAs 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/s. 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 each revolution? Give your answer in feet.

Acceleration is related to velocity and time by the following expression: . Find the powers p and q that make this equation dimensionally consistent.

The period T of a simple pendulum is the amount of time required for it to undergo one complete oscillation. If the length of the pendulum is Land the acceleration of gravity is g, then T is given by Find the powers p and q required for dimensional consistency.

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? All chemical reactions, whether organic or inorganic, proceed at a rate that depends on temperaturethe 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 rate 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 (Oecanthus fultoni Walker). Its rate of chirping is described by the following formula: In this expression, T is the temperature in degrees Fahrenheit.

Which plot in Figure 12 represents the chirping rate of the snowy tree cricket? ABCDE

If the temperature is 43 degrees Fahrenheit, how long does it take for the cricket to chirp 12 times? A. 12 s B. 24 s C. 43 s D. 52 s

Your pet cricket chirps 112 times in one minute (60.0 s). What is the temperature in degrees Fahrenheit? A. 41.9 B. 47.0 C. 64.3 D. 74.7

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