The Bohr Atom The
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- A thin disk of mass M and radius R lies in the (x, y) plane with the z-axis passing through the center of the disk. Calculate the gravitational potential (z) and the gravitational field on the z-axis.arrow_forwardThe planetary model of the atom pictures electrons orbiting the atomic nucleus much as planets orbit the Sun. In this model you can view hydrogen, the simplest atom, as having a single electron in a circular orbit 1.061010 m in diameter. (a) If the average speed of the electron in this orbit is known to be 2.20106 m/s, calculate the number of revolutions per second it makes about the nucleus. (b) What is the electron's average velocity?arrow_forward(a) What is the magnitude of the angular momentum for an l=1 electron? (b) Calculate the magnitude of the electron's spin angular momentum. (c) What is the ratio of these angular momenta?arrow_forward
- A bus contains a 1600 kg flywheel (a disk that has a 0.62 m radius) and has a total mass of 9200 kg.Randomized Variablesm = 1600 kgr = 0.62 mmt = 9200 kgv1 = 23 m/sv2 = 2.75 m/s Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 23 m/s in rad/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. How high a hill can the bus climb with this stored energy and still have a speed of 2.75 m/s at the top of the hill in m?arrow_forward4. The Bohr model (Neils Bohr, 1913) treats the hydrogen atom as a minature solar system. Although the model is incorrect it provided early insight into the quantum mechanics of atoms. Assume the electron (mass m, charge -e) is in a circular orbit of radius r around the proton (charge +e, mass M). M » m so the proton is stationary. From Physics 211, a object moving in a circle at constant speed will experience a centripetal acceleration v2 /r directed toward the center of the circle. Use circular motion dynamics to determine the speed of the electron in orbit. Answer in terms of r, e, m and/or M. Gravitational forces are negligible at the atomic level. а. b. What is the kinetic energy of the electron in orbit? Answer in terms of e,r and/or m.arrow_forwardSee the box with all right angles in Fig 4537. x1=6, y1=6, z1=8 meters relative to the origin O. F=2 Newtons force applied at point-C and acts along the line AC. Determine the torque (Newton-meters) about each axis.arrow_forward
- Formation of a Neutron Star A star rotates with a period of 32 days about an axis through its center. The period is the time interval required for a point on the star's equator to make one complete revolution around the axis of rotation. After the star undergoes a supernova explosion, the stellar core, which had radius of 1.1 x 104 km, collapses into a neutron star of radius 3.6 km. Determine the period of rotation of the neutron star. SOLUTION Conceptualize The change in the neutron star's motion is similar to that of the skater described earlier in the textbook, but in the reverse direction. As the mass of the star moves closer to the rotation axis, we expect the star to spin faster Categorize Let us assume that during the collapse of the stellar core, (1) no external torque acts on it, (2) it remains spherical with the same relative mass distribution, and (3) its mass remains constant. We categorize system in terms of angular momentum. We do not know the mass distribution of the…arrow_forward... ... WEEK 16 L12-PS4... X Ipu.mrooms.net Question T Not yet answered Marked out of 2.00 Flag question The diameter of an atom is 4.0 × 10-¹0, and an electron is moving at 2200 km/s in a circular motion around the nucleus. The mass an electron is roughly9.0 × 10-³¹. What is the centripetal force exerted by the nucleus on an electron? (Note: 1 km = 1,000 m) a. 2.2 × 10-N b. 2.2 × 10-N c.4.4 × 10-N d. 4.4 × 10-N 9:29 Time left 0:44:41 ||| 0 :arrow_forwardThe magnitude of the force P is 626 N. Determine the magnitude of the moment (Nm) of P about the line CF. Round off only on the final answer expressed in 3 decimal places. B G y 600 mm A 500 mm m 360 mmarrow_forward
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