(a) An alpha-particle (m= 6.64 x 10-27kg, q=3.2 x 10-¹⁹ C) moving with a velocity v = (2.0i - 4.0k) x 106m/s enters a region where E = (5.0 - 2.0ĵ) × 10¹V/m and B* = (1.0î + 4.0k) × 10-²T. What is the initial force on it?
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- An alpha particle is the nucleus of a He-4 atom and has a rest mass of 3727.38 MeV/c2. How much energy is required to accelerate an alpha particle from rest to 0.6c? What is the momentum of the alpha particle once it reaches this speed? Would more, less or the same amount of energy be required to accelerate a proton from rest to this speed?Calculate the speed (in m/s) of an electron and a proton with a kinetic energy of 1.15 electron volt (eV). (The electron and proton masses are me = 9.11 ✕ 10−31 kg and mp = 1.67 ✕ 10−27 kg. Boltzmann's constant is kB = 1.38 ✕ 10−23 J/K.) (a) an electron m/s (b) a proton m/s (c) Calculate the average translational kinetic energy in eV of a 3.09 ✕ 102 K ideal gas particle. (Recall from Topic 10 that 1 2 mv2 = 3 2 kBT.) eV1. You and your lab partner are making measurements on particle decay in the lab. You make the following measurements on particle A: m₁ = 498 MeV/c² and ₁ = 0.462c î. You observe VA particle A decay to particles B and C. Your lab partner makes the following measurements: MB = mc = = 140 MeV/c² and ✓ = −0.591c î. (a) Calculate the total energy for each particle. (b) Find the velocity (magnitude and direction) of particle C. (c) Spock is in a ship moving with VB a velocity of vs = 0.635c î observing the same particle decay. What values does he measure for the velocities of particle B and particle C?
- 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 parabolaWhat is the momentum of the alpha particle that is moving at 0.5c. with mass equal to 7.0*10-27 kg.A beam of radioactive particles travels at a speed of 2.5 x 10^8 m/s. The half-life of the particles in the beam is measured to be 1.4µs by an outside observer. Determine the half-life of those particles when they are at rest with respect to the observer.
- 6: F1 N 7. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What is the speed of these protons? (The rest mass of a proton is 1.67 x 10-27 kg.) X 1.29 C 2 Fő F2 W S X command #3 20 F3 E D $ 4 C 888 F4 R F | do 5 % V F5 T G ^ 6 MacBook Air B F6 Y & 7 F7 N * 00 8 J FB - M ( 9 K Show my other submissions MOSISO DD F9 ) O 1 F10 P JEE 13 P I 11 command E V 1 option |There is a free neutron that is at rest. It decays into a proton (mass energy is 938.30 MeV), an electron (mass energy is 0.50 MeV, and an antineutrino (mass energy is negligible on the scale of MeV). What is the total kinetic energy of the decay products?8:56 9 27 O 3 all all 66%i (2) abäi The mechanical energy of an * :object is given by mgh 1/2mv*v EK+EP Ek1+EP1=Ek2+EP2 O (2) uhäi Which one of the following is equivalent to the Sl unit of ?energy A mass of 1 kg falls for 1m O A force of 1 N moves an object 1m in its direction. A joule of work is done per second. An applied force of 1 N acts on a stationary object II K
- The carbon isotope 14C is used for carbon dating of objects. A 14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino. Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino. The electron has a mass of 9.11x 10-31 kg and a speed of 5.5 x107 m/s. While the anti neutrino has a momentum of 8.5x10-24 kg-m/s. If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.Consider an electron orbiting around a proton with an orbital radius of R=8.48⋅10−10R=8.48⋅10-10 m. What is the orbital frequency of the electron motion? Use me=9.11×10−31me=9.11×10-31 kg, e=1.6×10−19e=1.6×10-19 C, and k=9×109k=9×109 Nm2/C2. The frequency, f0 = Units . By how much would this frequency increase (assume the same orbital radius) if an external magnetic field of B = 0.5 T is applied to the system along the the electron axis of rotation? The increase in the frequency , Δf = Units .An alpha particle (6.70 x 10^-27kg, 3.2 x 10^-19Coulomb) travels at 0.965c. What is its: (a) resting energy (eV) (b) total energy(eV) (c) kinetic energy(eV)