A speck of carbon dust may contain as many as 30 billion atoms of carbon, each atom having a mass of 2.00 x 10-23 grams. Suppose the mass of all the atoms in a speck of carbon dust were converted entirely to energy and applied to the kinetic energy of a baseball. How fast would the baseball be moving? (Mass of baseball = 0.145 kg. ) (1 gram = 1 x 103kg)   (KE = ½ mv2) (1 billion = 1 x 109)

Q: What is its length?

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Q: In this problem we will observe how the momentum of an electron changes as its velocity approaches…

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Q: Using a single dimensional equation, estimate the number of steps it would take a person with a step…

A: Given data: -  The step length of a person is l = 2.65 ft. The distance of Alpha Centauri from the…

Q: How many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of…

A: Given that, the life time of unstable atomic nucleus is in the order of 10 s. (In actual case, it is…

Q: We are going to make a simple approximation of the number of atoms in the universe. Assume all the…

A: Given that, Density of sun = 1.4 g/cm3 Radius of sun = 7.0×108 m =7.0×1010 cm Mass of the sun =…

Q: An astronomical unit (AU) is equal to the average distance from Earth to the Sun, about 92.9 × 106…

A: The smaller unit of distance is meter, millimeter, micrometer, nanometer, picometer, etc. The larger…

Q: A particular frost-free refrigerator uses about 720 kWh of electrical energy per year.    Express…

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Q: A 10.5 kg object is moving with a velocity of 2.5 ms-1. If its velocity is increased to 5.5 ms-1,…

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Q: The mass of an electron is (9.11)(10-31) kilogram, and the mass of a proton is (1.67)(10-27)…

A: Mass of the electron, me=9.11×10-31 kg Mass of the proton, mp=1.67×10-27 kg

Q: The kinetic energy varies directly as the square of the momentum (?) and inversely as the mass (?).…

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Q: A plane leaves at 10:29 P.M and arrives at Las Vegas late the next afternoon at 5:41pm. Exactly how…

A: Given, A plane leaves at 10:29 P.M and arrives at Las Vegas late the next afternoon at 5:41pm.

Q: Which of the following statements uses exact numbers? (a) 1 ft = 12 in.(b) 1 cal = 4.184 J(c) The…

A: 1 ft = 12 in. 1 cal = 4.184 J

Q: We have a very large sheet of extremely thin paper. Assume that the paper is in fact only 0.1mm…

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Q: Convert 74 millimetres (mm) to kilometres (km) Answer: 7.4e-5 Convert 115 cm2 to km2 Answer: 1.15e-8…

A: The conversion of millimeters (mm) into kilometers (km) is determined as 74 mm=74×10-3 m=74×10-3…

Q: In MKS (SI units), mass is expressed in kilogram (kg), length in meter (m) and time in second (s).…

A: speed:

Q: A patient’s temperature was 97.0 °F at 8:05 A.M. and 103.4 °F at 12:05 P.M. If the temperature…

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Q: chimpanzee from location A will have an average lifespan was 27 ± 4 years and a chimpanzee from…

A: A1) The lifespan of chimpanzee on location A ranges from 27-4 to 27+4 years i.e. 23 to 31 years.…

Q: Problem 11: Part (a) Calculate the value of P, in newtons per square meter. P = ______ Part (b)…

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Q: 100 ,000m 10 years = 25 minutes = nm(nanometer) Sec(Seconds) Years %3D

A: Required:  100,000 m into nanometer 10 years into seconds 25 minutes into years

Q: A unit called the beard-second is the length the average beard grows in 1 second. A beard-second is…

A: Given 1 beard-second = 10×10-9 m

Q: A patient’s temperature was 97.0 °F at 8:05 A.M. and 101.0 °F at 12:05 P.M. If the temperature…

A: Temperature was 97.0 °F at 8:05 A.M.  And 101.0 °F at 12:05 P.M. Temperature at 3:35 P.M. = ?

Q: Humanity's Energy Needs: Humankind's total annual energy need is approximately 4 x 10^20 J. a) What…

A: Energy required by human kind in 1 year is E = 4.0 x 1020 J Solar energy reaching earth is ESOL =…

Q: The mass of a newborn baby’s brain has been found to increase by about 1.6 mg per minute. (a) How…

A: Rate of increase of mass of a newborn baby's brain,…

Q: A study finds that the metabolic rate of mammals is proportional to m314, where m is the total body…

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Q: One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in…

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Q: As part of an important engineering project for NASA, you've been asked to do some unit conversions.…

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Q: The speed of light is 2.998*10^8 m/s. How far does light travel in 7.0 μs ? Set the math up. But…

A: Given data The speed of the light is given as v = 2.998 x 108 m/s. The time interval is given as t…

Q: A patient’s temperature was 97.0 °F at 8:05 A.M. and 102.0 °F at 12:05 P.M. If the temperature…

A: As the patient’s temperature change with respect to elapsed time was linear throughout the day so…

Q: A light-year is the distance light travels in one year (at speed 2.998 x 10^8 m/s). (a) How many…

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Q: Grandma Mary is four times the age of her granddaughter Jane. Ten years ago Jane was 1/10 the age of…

A: Given Grandma Mary is four times the age of her granddaughter Jane. Ten years ago Jane was 1/10 the…

Q: Earth has a mass of 5.98*1024 kg.The average mass of the atoms that make up Earth is 40 u. How many…

A: Given : mass of the Earth, ME = 5.98*1024 kg            Average mass of atoms, m = 40 u

Q: In this problem we will observe how the momentum of an electron changes as its velocity approaches…

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Q: A = 2 X 1025, B = 4.5 X 10-10, C = 3 X 10-6. AB/C = ?       (2) ACB = ?       (3) The Moon…

A: Given,  A = 2 X 1025, B = 4.5 X 10-10, C = 3 X 10-6.

Q: A farmer wants to fence off his four-sided plot of flat land.He measures the first three sides,…

A: Equate horizontal component of the resultant vector to zero

Q: The mass of a star similar to the Sun is 2.04 ✕ 1030 kg, and the mass of an atom of hydrogen, of…

A: The expression for the number of atoms in the stars,

Q: Exactly 640 acres are in one square mile, and one mile equals 1609 meters. How many square meters…

A: Given value--- 640 acres are in one square mile. one mile equals 1609 meters. We have to find---…

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.