A female skater is spinning at 1 rev/s with her arms outstretched so is 3.6 kg/m2. She then pulls her arms to her sides, which reduces he ongular velocity in rad/s?
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- 5) Richard Feynman called the Euler relation the most remarkable formula in mathematics. Use the Euler relation to give the value of the following quantities. eio=1 ein/2_ ein = ei2π = (Hix = (rcosx = i sin x)Calculate the linear momentum of a pickup truck that has a mass of 915 kg and is traveling eastward at 22 m/s. kg · m/s6.50 Alveoli are tiny sacs of air in the lungs. Their averagediameter is 5.0 × 10−5 m. Calculate the uncertainty inthe velocity of an oxygen molecule (5.3 × 10−26 kg)trapped within a sac. (Hint: The maximum uncertaintyin the position of the molecule is given by the diameterof the sac.)
- Calculate the speed of a comet if it is rotation about the Sun in circular orbit with radius 1.9×10^8 km. The mass of the Sun is 1.9885×10^30 kg. *A microwave oven works by generating electromagnetic radiation that can be absorbed by water molecules causing them to rotate faster. The friction of the rotating water molecules is lost to their surroundings, thus heating up the food you place in the microwave oven. A microwave oscillator (thing that makes microwaves) emits radiation at a wavelength of 12.24 cm. What is the minimum time it will take a 800 Watt (i.e. 800 Js4) microwave oven emitting 12.24 cm wavelength photons to heat 100 g of water from 20° to 50° C? The heat capacity of water is 4.18 Jg1 deg1?4-68. At noon on a clear day, sunlight reaches the earth's surface at Madison, Wisconsin, with an aver- age power of approximately 1.0 kJ.sm2. If the sun- light consists of photons with an average wavelength of 510 nm, how many photons strike a 1.0-cm² area per second?
- The potential energy associated with two charged particles is 34 mJ when they are separated by a distance d. What is the potential energy associated with them (in mJ) when they are separated by 3d?What is the value of the Born exponent for Fr+?3D16283.34693 16.3 mapbe -> 2. The volume of a cylinder is calculated as V= r?h where nr2 is the area of the circle. If a gallon of kerosene were spilled on a still lake and the height of the slick is, 1.386 nm, what would be the area in m? of the oil slick on the surface of the pond? 1 gal = 3.8 L; 1 nm = 1 x 10-9 m; 0.81 kg = 1 L; 1 kg = 2.206 Ibs; %3D %3D %3D %3D 1000 cm3 = 1.0 liter %3D 1.386nm |1X10-m Inm Aluminum has a density of 2.70 g/cm3. What would the volume be in in3 of a piece of al
- A glow worm of mass 5.0 g emits red light (650nm) with a power of 0.10W entirely in the backward direction. To what speed will it have accelerated after 10y if released into free space and assumed to live? Energy emitted = P(W)-At(s). Assume the conservation of linear momentum, which means that the loss of a photon imparts an equivalent momentum in the opposite direction. total energy The total momentum imparted to the glow-worm: p = Npphoton where energy/photon x= 650nm N = Energy emitted p = mv Energyphoton V= = { PglowwormN Pphoton N = # of photons = Pphoton = momentum/photon 5g=00005kg = (mv) glowworm At =10yrs => At-see Total Energy = Pat energy/photon = (E=hr) = hec Pphoton = 12 숫Calculate the linear momentum of a pickup truck that has a mass of 945 kg and is traveling eastward at 26 m/s.Alveoli are tiny sacs of air in the lungs. Their average diameter is 5.0 x 10-5 Approximate the minimum uncertainty in the velocity of an oxygen molecule (5.3x -26 kg) trapped within a sac. m. 10