Chapter 11: Q1Q (page 458)
Give an example of a situation in which an object is traveling a straight line, yet has non-zero angular momentum.
Short Answer
The angular momentum of the spacecraft relative to the asteroid has non-zero value.
Chapter 11: Q1Q (page 458)
Give an example of a situation in which an object is traveling a straight line, yet has non-zero angular momentum.
The angular momentum of the spacecraft relative to the asteroid has non-zero value.
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Get started for freeA disk of radiusis pulled along a frictionless surface with a force of by a string wrapped around the edge (Figure 11.102). of string has unwound off the disk. What are the magnitude and direction of the torque exerted about the center of the disk at this instant?
If you did not already do problem P63 do it now. Also calculate numerically the angle through which the apparatus turns, in radians and degrees.
In Figure 11.95 two small objects each of mass \({m_1}\)are connected by a light weight rod of length \(L.\) At a particular instant the center of mass speed is\({v_1}\) as shown, and the object is rotating counterclockwise with angular speed \({\omega _1}\). A small object of mass \({m_2}\) travelling with speed \({v_2}\) collides with the rod at an angle \({\theta _2}\) as shown, at a distance\(b\)from the center of the rod. After being truck, the mass \({m_2}\) is observed to move with speed \({v_4}\) at angle\({\theta _4}\).All the quantities are positive magnitudes. This all takes place in outer space.
For the object consisting of the rod with the two masses, write equations that, in principle, could be solved for the center of mass speed \({v_3},\) direction \({\theta _3},\) and angular speed \({\omega _3}\)in terms of the given quantities. Sates clearly what physical principles you use to obtain your equations.
Don’t attempt to solve the equations; just set them up.
Review with derivation of the Bohr model of the hydrogen atom and apply this reasoning to predict the energy levels of ionized helium (a helium atom with only one electron, and a nucleus containing two protons and two neutrons). What are the energies in of the ground state and the first excited state? What is the energy of a photon emitted in a transition from the first excited state to the ground state? How do these results differ from those for a hydrogen atom?
What features of the Bohr model of hydrogen are consistent with the later, full quantum mechanical analysis? What features of the Bohr model had to be abandoned?
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