COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 26, Problem 33QAP
To determine
Radius of muonic hydrogen atom
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Helpful information: (1) An alpha particle is a helium nucleus, (2)
e = 1.6 × 10-¹⁹ C, (3) k₂ = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m
1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a
proton (in this set-up, the alpha particle is at the origin while the proton is in the
positive direction). Which of the following choices below represents the
magnitude of the electric force on the alpha particle?
(a) 2.3 × 10-10 N
(b) 4.6 × 10-10 N
(c) 2.3 x 10-19 N
(d) 4.6 x 10-19 N
cing the voltage so
following insta
choices below
at a time! 1.00 s?
How would you figure out this problem?
thank you!!
3- a) The distance to Alpha Centauri (the nearest large star to Earth) is 4.37 Ly (Light Years). What is the distance in miles (given that one Ly = 5.88 x 1012 miles?)
b) Present rocket ship speeds are roughly 100,000 miles per hour, which is the same as 8.766 x 108 miles per year. At this speed, and using the distance you calculated in (a), how many years would it take to travel to Alpha Centauri?
Chapter 26 Solutions
COLLEGE PHYSICS
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- Show that the velocity of a star orbiting its galaxy in a circular oibit is inversely proportional to the square root of its orbital radius, assuming the mass of the stars inside its orbit acts like a single mass at the center of the galaxy. You may use an equation from a previous chapter to support your conclusion, but you must justify its use and define all terms used.arrow_forwardOur solar system orbits the center of the Milky Way Galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note that this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.arrow_forward•8 o A positive tau (7*, rest energy = 1777 MeV) is moving with 2200 MeV of kinetic energy in a circular path perpendicular to a uniform 1.20 T magnetic field. (a) Calculate the momentum of the tau in kilogram-meters per second. Relativistic effects must be considered. (b) Find the radius of the circular path.arrow_forward
- Helpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-¹0 N (c) 2.3 × 10-19 N (d) 4.6 × 10-19 N eplacing the voltage sou the following inst choices below time != 1.00 37 instantaneous currentarrow_forward*39 Will the universe continue to expand forever? To attack this question, assume that the theory of dark energy is in error and that the recessional speed v of a galaxy a distance r from us is determined only by the gravitational interaction of the matter that lies inside a sphere of radius r centered on us. If the total mass inside this sphere is M, the escape speed v, from the sphere is v. = V2GMIT (Eq. 13-28). (a) Show that to prevent unlimited expansion, the aver- age density p inside the sphere must be at least equal to ЗН 87G (b) Evaluate this "critical density" numerically; express your an- swer in terms of hydrogen atoms per cubic meter. Measurements of the actual density are difficult and are complicated by the pres- ence of dark matter.arrow_forwardA star, which is 2.3 x 1020 m from the center of a galaxy, revolves around that center once every 2.3 x 10% years. Assuming each star in the galaxy has a mass equal to the Sun's mass of 2.0 x 1030 kg, the stars are distributed uniformly in a sphere about the galactic center, and the star of interest is at the edge of that sphere, éstimate the number of stars in the galaxy. Number i Unitsarrow_forward
- Models are particularly useful in relativity and quantum mechanics, where conditions are outside those normally encounteredby humans. What is a model?arrow_forwardgravity)! 6. Consider a star of radius R and mass M. Suppose light of wavelength A, is emitted from the surface of the star. What wavelength A would we see this light to be, assuming we are approximately an infinite distance from the star and are at rest with respect to the star? (An approximate formula, such as in the book, is fine). Short Answer Seach] No justification is required for the answers to any of the following questions. Also, no num- bers are required for these questions: In case any formulas are required in the answer, please keep them in terms of fundamental constants without substituting in the values of these fun- damental constants.arrow_forwardII. COMPLEΤΕ THE TABLE Q1 Q2 r Fe 3µC 5μC 1m -5µC 2µC 250 cm -86μC -43μC 20m Q1 3cm 90 Ν 2µC 4.45 cm 45 Ν 30μC 13μC 20 Ν -56μC -23μC 10m -16nC -43nC 70marrow_forward
- You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of 6 m at the front surface and a length of 25 m. You have to cross the interstellar medium with anthe approximated density of 1 hydrogen atom/m3Because you are moving at an enormous speed, your mission from the previous part will be influenced by the effects of time dilation described by special relativity: Your spaceshiplaunches in June 2020 and returns back to Earth directly after arriving at Sirius.(a) How many years will have passed from your perspective?(b) At which Earth date (year and month) will you arrive back to Earth?arrow_forwardD Gm₁m₂ Fg KE = mv², Ug = - 2πr , ac = =²₁, v = ²7₁ T Gm₁m₂ GM g = G, Vesc = 2GM R , E = KE + Ug, G = 6.674 x 10-¹1 Nm²/kg² Problem 1: You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its radius to be 9 x 106 m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 2.2 x 10¹¹ m from its star with a period of 402 days (3.473 x 107 sec). Once on the surface you find that the free-fall acceleration is 12.2 m/sec². a) What is the mass of the planet? Answer: 1.5 x 1025 kg. b) What is the mass of the star? Answer: 5.2 x 1030 kg.arrow_forwardvi = 250 m/s 0 = 37° R= ? Solution: (vi sin 20) (vi sin 0) 2vi sin 0 R = dy: t = 2g (2502 sin(2x37) 9.8m/s? (2)(250m/s)(sin37) (250m/ssin 37)² 2(9.8m/s) R = dy t 3D %3D 9.8m/s2 dy = 1154.91 m t = 30.70s R = 6130.50 m What Have I Learned So Far? Solve the following problems on the space provided. Box the final answers. 1.A place-kicker kicks a football at an angle of 40° above the horizontal axis. speed of the ball is vi = 22 m/s. Find the maximum height the ball attains. The 2. An arrow has an initial launch speed of 18 m/s. If it must strike a target 31 m away at the same elevation, what should be the projection angle? 26arrow_forward
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