A jet of gas consists of molecules of mass m, speed v and number density n all moving co-linearly. This jet hits a wall at an angle 0 to the normal. The pressure exerted on the wall by the jet assuming elastic collision will be (a) p = 2mnv cos? 0 (b) р %3D 2тnv? cos 0 II (c) p= (3/2)mnv cos? 0 (d) р%3D тnv?
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- Electron capture is a variant on beta-radiation. The lightest nucleus to decay by electron capture is 7Be -- beryllium-7. The daughter nucleus is 7Li -- lithium-7. The electron is transformed into a massless particle (a neutrino): e − + 7 B e + ⟶ 7 L i + ν The initial electron is bound in the atom, so the beryllium mass includes the electron. In fact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: 7 B e ⟶ 7 L i + ν The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole. (Use uc and uc2 as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary. Calculate the speed of the final lithium nucleus in km/s. (all the energy released goes into the lighter particle. c = 300,000 km/s)Electron capture is a variant on beta-radiation. The lightest nucleus to decay by electron capture is 7Be -- beryllium-7. The daughter nucleus is 7Li -- lithium-7. The electron is transformed into a massless particle (a neutrino): e − + 7 B e + ⟶ 7 L i + ν The initial electron is bound in the atom, so the beryllium mass includes the electron. In fact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: 7 B e ⟶ 7 L i + ν The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole. (Use uc and uc2 as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary. Calculate the speed of the final lithium nucleus in km/s. (You will make life much easier for yourself if you recognize that practically all the energy released goes into the lighter particle. c = 300,000 km/s)A Carbon-14 nucleus is initially at rest but emits two particles of radiation; one with momentum 5.8x10-21kgm/s[E], and another with momentum 4.5x10-21kgm/s[S]. If the residual Carbon-14 mass is 2.3x10-26kg; a. Determine the residual Carbon 14 momentum magnitude b. Determine the residual Carbon 14 momentum direction c. determine the residual Carbon 14 velocity.
- b & cSuppose that a 1.00 cm' box in the shape of a cube is perfectly evacuated, except for a single particle of mass 1.00 × 10 g. The particle is initially moving perpendic- ular to one of the walls of the box at a speed of 400 m/s. Assume that the collisions of the particle with the walls are elastic. (a) Find the mass density inside the box. (b) Find the average pressure on the walls perpendi- cular to the particle's path. (c) Find the average pressure on the other walls. (d) Find the temperature inside the box. Discuss the as- sumption of elastic collisions, in light of this result.