(II) Determine the fraction of kinetic energy lost by a neutron (m1 = 1.01 u) when it collides head-on and elastically with a target particle at rest which is (a) H (m = 1.01 u); (b) {H (heavy hydrogen, m = 2.01 u); (c) ?C (m = 12.00 u); (d) ²Pb (lead, m = 208 u). %D
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- (a) The energy released in the explosion of 1.00 mol of TNT is 3.40 MJ.The molar mass of TNT is 0.227 kg/mol.What weight of TNT is needed for an explosive release of 1.80*10^14 J? (b) Can you carry that weight in a backpack, or is a truck or train required? (c) Suppose that in an explosion of a fission bomb, 0.080% of the fissionable mass is converted to released energy. What weight of fissionable material is needed for an explosive release of 1.80* 10^14 J? (d) Can you carry that weight in a backpack, or is a truck or train required?Consider the four processes (i) p* →n+ e" +v. (ii) Aº → p* + e* +v, (iii) a* → e* + ve (iv) n° →y+Y which of the above is/are forbidden for free particles? (a) only (ii) (b) (ii) and (iv) (c) (i) and (iv) (d) (i) and (ii)"A very heavy object moving with velocity v collides head-on with a very light object moving with velocity -v. The collision is elastic, and there is no friction. The heavy object barely slows down. What is the speed of the light object after the collision?" O nearly v O nearly 2v O nearly 3v O nearly infinite
- a) What is the magnitude of energy (in MJ) that must be removed to freeze 377 L of water with a density of 999.8 Kg/m3 that is already at 0˚C [round your final answer to one decimal place]? {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg} b) The magnitude of energy that must be added to melt the same mass of ice (already at 0˚C) would be greater than the amount of energy that had to be removed in order to freeze it. TRUE OR FALSE {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg}Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (4He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.12 ✕ 10−13 J, and the masses of the helium and gold nuclei were 6.68 ✕ 10−27 kg and 3.29 ✕ 10−25 kg,respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.) (a)If a helium nucleus scatters to an angle of 119° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. 4He speed_____________ m/s 197Au velocity _____________ m/s 197Au direction____________ ° counterclockwise from the +x-axis (b)What is the final kinetic energy (in J) of the helium nucleus? ______________ JErnest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (4He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.27 ✕ 10−13 J, and the masses of the helium and gold nuclei were 6.68 ✕ 10−27 kg and 3.29 ✕ 10−25 kg, respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.) (a) If a helium nucleus scatters to an angle of 148° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus 4He speed: (m/s) 197Au velocity (m/s) 197Au direction (counterclockwise from the +x-axis) (b)What is the final kinetic energy (in J) of the helium nucleus?Consider the process of escaping from the solar system starting from the surface of Earth. Assume there are no other bodies involved. Earth has an orbital speed about the Sun of 29.8 km/s. Hint: 2GM does not apply. Use mv,? GM_m GM m 2 GM-m GMs" which includes the potential energy of both Earth and the Sun. 2.5 V. esc 2,E (a) What minimum speed relative to Earth (in km/s) would be needed? km/s In what direction should you leave Earth? O opposite the direction of Earth's orbital velocity O towards the Sun O away from the Sun O in the direction of Earth's orbital velocity (b) What will be the shape of the trajectory? O a circle O an ellipse O a hyperbola O a parabolaErnest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (4He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.52 ✕ 10−13 J, and the masses of the helium and gold nuclei were 6.68 ✕ 10−27 kg and 3.29 ✕ 10−25 kg, respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.) (a)If a helium nucleus scatters to an angle of 139° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. What is the final kinetic energy (in J) of the helium nucleus?A Uranium-235 atom (235.0439 u) that is initially at rest undergoes a fission reaction (breaks apart) and releases Barium-139 (138.9088 u) and Krypton-95 (94.9398 u), and two neutrons (1.00866491588 u). If the Barium-139 moves at 1.10 x 10^5 m/s [E] and the Krypton-95 moves at 1.59 x 10^5 m/s [N 15 degrees W], calculate the combined momenta of the remaining neutrons. Recall: u = 1.6605* 10^-27 kg(a) An alpha-particle (m = 6.64 x 10-27 kg, q=3.2 x 10-¹9 C) moving with a velocity v = (2.0i - 4.0k) x 106m/s enters a region where E = (5.0î - 2.0ĵ) × 10¹V/m and B* = (1.0î + 4.0k) × 10-²T. What is the initial force on it? (b) An electron moving with a velocity v = (4.0 + 3.0f + 2.0k) x 106m/s enters a region where there is a uniform electric field and a uniform magnetic field. The magnetic field is given by B* = (1.0î - 2.0ĵ+ 4.0k) × 10-²T. If the electron travels through a region without being deflected, what is the electric field?SEE MORE QUESTIONS