An electron in the n = 1 energy orbital of the hydrogen atom has an angular momentum of magnitude 1.055 x 10-34 J-s and an orbital radius of 5.292 x 10-1l m. The electron's mass is 9.11 x 10-31 kg. What is the electron's speed v in this orbital? U = m/s
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- (i) Does the speed of an electron have an upper limit? (a) yes, the speed of light c (b) yes, with another value (c) no (ii) Does the magnitude of an electrons momentum have an upper limit? (a) yes, mec (b) yes, with another value (c) no (iii) Does the electrons kinetic energy have an upper limit? (a) yes, mec2 (b) yes, 12mec2 (c) yes, with another value (d) noA massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. a. One of these stars is believed to be in an approximately circular orbit with a radius of about 1.50 103 AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting, b. What is the speed of this star, and how does it compare with the speed of the Earth in its orbit? How does it compare with the speed of light?The truck in Figure P39.1 is moving at a speed of 10.0 m/s relative to the ground. The person on the truck throws a baseball in the backward direction at a speed of 20.0 m/s relative to the truck. What is the velocity of the baseball as measured by the observer on the ground? Figure P39.1
- Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.The mass of an electron is m=9.11*10^-31 kg. The mass of a proton is m=1.67*10^-27 kg. They are about 5.29*10^-11 m apart in a hydrogen atom. What gravitational force exists between the proton and electron of a hydrogen atom?In hydrogen atom the electron rotates around the nucleus by a constant speed 2.5 x radius 5.29 x 10-11 m. What is the centripetal acceleration ac, and the period T? 106 m/s in a circular orbit with a. = 4.73 x 10l6 m/s2 and T = 1.33 × 10-16 s ac = 1.18 x 1023 m/s- and T= 3.52 x 10-16s O ac = 1.18 x 1023 m/s2 and T = 1.33 x 10-165O ac = 4.73 x 106 m/s- and T= 3.52 x 10-16s O
- Q. 3. Accelerated charge particles emit electromagnetic radiations. A particle having charge q and acceleration a radiates energy at a rate given by dE q²a²/6n€,c³ dt Where c is speed of light. (a) f a proton with kinetic energy 9.6x1013 J is accelerated in a circular orbit of radius 0.75 m, what fraction of its energy does it radiate per second? (b) If an electron is accelerated in the same orbit with the same speed, what fraction of its energy does it radiate per second?A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been discovered. Because of their proximity to their parent stars, and their compositional similarity to Jupiter, they have been labeled “Hot Jupiters”. The orbital radius of one of these planets is 0.06 A.U. with average orbital speed 600 km/sec. What is the length of this planet’s year in Earth (solar) days? Estimate the mass, M, of its parent star in terms of the mass of the sun (M) using Newton’s first form of Kepler’s 3rd Law. Calculate the star’s luminosity, L, in terms of the luminosity of the sun (L☉), Note: (LL=MM4where L ~ 4 × 1026 W ). The radius of this planet is 1.5 times the radius of Jupiter. Assuming its equilibrium temperature is the temperature at which the planet radiates as much energy as it receives from its star, estimate the temperature of the planet. The value of the planet’s albedo is 0.8. (NOTE: The intensity of the star’s radiant power at a distance d from the star is…has the 3. A positron (the antiparticle of the electron) same mass as an electron (9.11×10-³¹ kg) but the opposite charge, +e = +1.602×10-¹9 C. Suppose a positror moves in the vicinity of an alpha particle, which has a charge +2e = 3.204×10-¹⁹ C. The alpha particle is over 7000 times as massive as the positron, so we assume that it is at rest in some inertial frame of reference. When the positron is 1.00×10-¹⁰ m from the alpha particle, it is moving directly away from the alpha particle at a speed of 3.00×10⁰ m/s. a) What is the positron's speed when the two particles are 2.00×10-¹0 m apart? b) What is the positron's speed when it is very far away from the alpha particle? c) Repeat a) after replacing the positron with an electron. d) Repeat b) after replacing the positron with an electron. The result here tells you whether the electron will eventually turn around and head toward the alpha particle. Will the electron turn around? If so, at what distance away does it turn around (i.e.,…
- 4G 1hl K/s 5.8 O . b O: 14|+ 2:20 E April 12, 2021 2:20 AM A satellite rotates around the earth with uniform circular motion at a radius of 6400 km. and a period of (1 day=86400sec). What is the speed of the satellite (m/s)? O 1.3 O31 O 0.22 O 0.77 O 0.47 Share Favorite Edit Delete MoreA sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a radius of 30.0 cm. The surfaces of the spheres are 20.0 cm apart. The force of gravitational attraction between the two spheres is 0.372 mN. What is the mass of the unknown metal?A satellite m = 500 kg orbits the earth at a distance d = 213 km, above the surface of the planet. The radius of the earth is re = 6.38 × 106 m and the gravitational constant G = 6.67 × 10-11 N m2/kg2 and the Earth's mass is me = 5.98 × 1024 kg. What is the speed of the satellite in m/s? v =