The change in the value of (g) at a height (h) above the surface of earth is same as at a depth (d) below the surface of earth. When both (d) f(b) are much smaller than radius of earth, then which is correct? d=2h 6 d = h Ⓒd=h/₂ @d=3h/2
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- One cubic centimeter of a typical cumulus cloud contains 350 water drops, which have a typical radius of 10 μm. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.0 km and radius 1.0 km? (b) How many 1-liter pop bottles would that water fill? (c) Water has a density of 1000 kg/m3. How much mass does the water in the cloud have?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 kgA = 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 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?(a) Compute the mass of the earth from knowledge of the earth-moon distance (3.84 * 10^8 m) and of the lunar period (27.3 days). (b) Then calculate the average density of the earth. The average radius of the earth is 6.38 * 10^6 m.What is the ratio of the surface area to the volume (a) for the 1 m sphere (b) for the 2 m sphere (c) for the 3 m sphere? A) (a) 1/3 (b) 2/3 (c) 1 B) (a) 3 (b) 1.5 (c) 1 C) (a) 1 (b) 1.5 (c) 3 D) (a) 1 (b) 2/3 (c) 1/3
- A high tech company uses a satellite to measure the size of features on the surface of the earth. They use this technology to measure a particular rectangular field and find it's length to be 444 ± 1.8 in meters and it's width to be 198 ± 1.63 in meters. They plan to report the perimeter (sum of two lengths and two widths) of the field as P± SP in units of yards. (1 meter = 1.094 yards) What is SP?For (b), why do we divide the (100Wx8h) by (103Wh)? I get that we need to cancel out the Wh, but why do we divide by 103 specifically?You will deal with a spherical shell -- a ball, where all the mass is on the surface. Inside is vacuum. (This is difficult to draw other than a circle.) Calculate the surface density (areal density) in g/cm2. You need these numbers: R = 27 cm M = 21,000 grams