The divergence of B is measured by: -2 Okg m-¹ s² A-¹ S -3 ○ kg m-¹ 5-³ A-¹ -2 Okg s² A-¹ Okg s ³ A-1 -3
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- There is relatively little space between atoms in solids and liquids, so that the average density of an atom is about the same as matter on a macroscopic scale - approximately 10^3 kg/m^3. The nucleus of an atom has a radius of about 10^-5m of that of the entire atom, and conatins nearly all mass of the atom. a) What is the approximate density, in kilograms per cubic meter, of a nucleus. b) One possible remnant of a supernova, called a neutron star, can have the density of a nucleus, while being the size of a small city. What would be the raduis, in kilometers, of the neutron star with a mass 10 times that of the Sun? The radius of the Sun is 7*10^8 m and its mass is 1.99*10^30 kg4. The one-particle speed distribution, Ø₁(u) is given by an expression $1 ₁(v) = 4π =4(2mm) Derive an expression for (i) most probable speed. (mp) (ii) ensemble average speed. (iii) root mean square speed. 3/2 v²e-mu²/2kT 2k (iv) compare these three speed values. 8kT MIT (v) mean inverse speed. VA = 2 X 1025, B = 4.5 X 10-10, C = 3 X 10-6. AB/C = ? (2) ACB = ? (3) The Moon is approximately 400,000 km from the Earth. An atom of a certain element has a diameter of 4 X 10-8 cm. Given 1 km = 1,000 m and 1 m = 100 cm, about how many atoms of this element can be lined up between Earth and Moon? (4) A spherical planet has a radius of 2,000 km and a mass of 1025 kg. Calculate its density (mass/volume) in kilograms per cubic meter. (5) How many of the atoms in Question (3) can fit within a spherical planet with a diameter of 2 X 104 km? (6) An asteroid’s radius is 200 m and its distance from Earth is 107 km. What angle in degrees (θ) will it subtend? Use the equation θ = 57 (diameter) / distance
- The mass of a star similar to the Sun is 2.04 ✕ 1030 kg, and the mass of an atom of hydrogen, of which the Sun is mostly composed, is 1.67 ✕ 10-27 kg. How many atoms are in the star?The rate of decay of the radioactive isotope Free Neutron 239 is given by: M = -1.1 x 10-³M where M is the mass of the isotope in grams and t is time measured in minutes. A sample initially contains 3 grams of the isotope. What is the mass of the isotope present in the sample after 320 minutes? The mass is grams. Round your answer to 3 significant figures, if needed. b) How long does it take for the mass of the isotope in the sample to fall to 1.5 gram? It takes t = minutes. Round your answer to the nearest integer if needed.the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?
- 2) Find the missing values: (a) 3.0 N1.0 kg 5.0N (b) 2.0N- 120 kg 3.0 N 5.0N -5.0 N -2.0N i- 2.0 m/s? Fret =? a = 0 Ft-? 10 N -5N (d) 30 N- (e) 4000g (f) 5.0 kg 1.0N 2.0N 3.0N constant Fnet ? a-1.5 m/s? - 0.5 m/s? 7, = ? Fret = ? F, = ? -SN 20 N- (h) (i) Fz 30 18 N a = 5 m/s? Fnut = ? a = + 0.6 m/s? Frst = 1.8 × 10-2 N 10 N - constant (down] m-? m= ? Fz = ? netThe Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:83184kg = 199.7 mg ball-bearing with arcum ference of 26.1 mm wegs 200mg Circumference of a circle = 2nr)? what is the density of the steel in g/cm³ (u of sphere = 4133 A steel 200mg Ⓡ Deng S (mm) Density = D = Di2g 3 D= masse lume S 062994 cm³ 0.66800267 v=4/7| (4:16mm)³_290-4mm 3 mm³ cm Convert + Tr = 4 tr ² 3 0 C = 2115 C = R 211 2994mm² (1 cm )3 26.1mm = 4.16mm 2 x 3.14 10 mm)³ mg-> conuert 200mg 1000g DRAA 0.2