ar to permit a proton of speed 10 m/s to The earth? 4x10 m, m. = 1.67% 10-27 kg).

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 parabola

Problem 17: An evacuated tube uses a potential difference of AV= 0.56 kV to accelerate electrons, which then hit a copper plate and produce X-rays. . Part (a) Write an expression for the non-relativistic speed of these electrons v in terms of e, AV, and m, assuming the electrons start from rest. v = AV 7 9 HOME a b d. 4 5 e h 1 j k P END m S V VO BACKSPACE CLEAR DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. Part (b) Calculate the non-relativistic speed of these electrons v in m/s.

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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 |

The sun generates energy through nuclear fusion, which converts mass intoenergy. If the sun radiates 3.8 × 1026 W of power, calculate the rate at which the sun losesmass (i.e., kg/s).

What is the velocity of a proton with a kinetic energy of 3.4 eV. Give your answers in 105 m/s with 3 decimal places.

a) If the mass lost in a nuclear fission reaction is 15 grams, how much energy is released? b) An proton has a mass of 1.6 x 10-27 kg. How much energy would be released if the mass of one proton was lost in a nuclear fission reaction?

-27 An unstable particle with a mass equal to 3.34 × 107 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.988c and -0.859c, respectively. Find the masses of the fragments. (Hint: Conserve both mass-energy and momentum.) m (0.988c) kg kg m(-0.859c) =

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.