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- T The total surface area, A, of the cylinder can be expressed as A = (a) Find the value of k. (b) Find the value of that makes the total surface area a minimum2 8 Perform the following calculations: (6.02 × 10²3) × (7.1 × 103) = 4.2742 ×1027 (8.46 × 10-4) × (2.23 x 103) = 1.88 65 8×100 3.6 × 107/2.2 × 104 = 1.63 x 10" 9 Perform the following conversions: 27.03 cm X 3.3 × 10⁰ g X 83 mph X 3.33 × 10-³ mL X 75 μm x 4°C X 12 miles x 2.9 g X 11.7 mg x 3.62 × 10-³ L X 36 gallons X 100 yards X 77°F X 15 nm X -16°C X 29 µg X 30 = = = || = || = || = = Exploring Biology in the Laboratory 04 6.4 × 106/4.2 × 10-³ = 1,52 7.2 × 108 + 3.3 × 107 = 7.53×108 9.4 × 106 - 4.6 × 10³ = 8.94×106 nm kg km/h gallons mm °F mm pounds kg mL Ligns 3 °C m °F ounces 29x119 1590 00000 on sii byg مواد ola 3 omen 3 bab 8 a obim A MThere 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 kg
- What's mu? If p has a unit of [kg/m³), v has a unit of [m/s], D has a unit of [m], and Ris unitless, what is the unit of u in the equation R = vDp/µ? O [s/kg] O [kg/(m• s)] O [kg/s] O [(m• s)/kg]A = 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) / distanceFind the number of significant figures in each of the following. (a) 61.8 ± 0.3 (b) 3.86 ✕ 109 (c) 2.80000 ✕ 10−6 (d) 0.0045
- Please use one of the following formulas: F=-k∆d f=(1/2π)(√(k/m)) T=2π√(m/k) f=(1/2π)(√(g/L)) T=2π√(L/g) v=d/t v=λf fd=fs(v+vd)/(v-vs) f=1/T T=1/f v=4Lf v=2Lf f=(1/2L)√(FT/μ)The walls in a room are 2.82 m tall by 8.09 m long by 3.28 m wide. Assume 1.00 liter of paint covers 10.0 m2. How many liters of paint does it take (exactly - not rounded to nearest gallon) to paint the four walls of this room but not the ceiling and not the floor?(a) Number i Units (b) Number i Units (c) (d) (e) > > > >