Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 9, Problem 38SP
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In Bohr’s model of the H atom, an electron orbits a proton in a circle of radius 5.28 x 10-11 m with a speed of 2.18 x 106 m/s. What is the acceleration of the electron in this model?
In the Bohr model of the hydrogen atom, an electron moves in a circular path around a proton. The speed of the electron is approximately 2.15 106 m/s.
(a) Find the force acting on the electron as it revolves in a circular orbit of radius 0.528 ✕ 10−10 m.
magnitude
N
direction
(b) Find the centripetal acceleration of the electron.
magnitude
m/s2
direction
An electron has a mass of 9.11x10-31 kg. In the Bohr model of the hydrogen atom, the electron is viewed as orbiting the single proton in the nucleus; the centripetal force is provided by the electrical attraction between the oppositely charged proton and electron. The radius of orbit is 5.29x10-11 m. What is the speed at which the electron moves as it orbits the proton. (Hint: Centripetal acceleration is v2/r.)
A) 2.28*106 m/s
B) 5.33*104 m/s
C) None of these.
Chapter 9 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 9 - 17. A wheel spins around exactly 6 times. How many...Ch. 9 - 18. Given that a disk revolves through 81.681...Ch. 9 - 19. Convert (a) 50.0 rev to radians, (b) 48π rad...Ch. 9 - 20. Express 40.0 deg/s in (a) rev/s, (b) rev/min,...Ch. 9 - 21. A 2.00-m-long steel rod, pivoted at one end,...Ch. 9 - 22. A pendulum swings through an angle of 20.0°,...Ch. 9 - 23. A pebble is stuck in the tread of a tire...Ch. 9 - 24. A sphere rotates about a fixed axis 10.0 times...Ch. 9 - 25. A flywheel turns at 480 rpm. Compute the...Ch. 9 - 26. It is desired that the outer edge of a...
Ch. 9 - 27. Through how many radians does a point fixed on...Ch. 9 - 28. A wheel 25.0 cm in radius turning at 120 rpm...Ch. 9 - 29. The angular speed of a disk decreases...Ch. 9 - 30. A car wheel 30 cm in radius is turning at a...Ch. 9 - 31. A wheel revolving at 6.00 rev/s has an angular...Ch. 9 - 32. A thin string wound on the rim of a wheel 20...Ch. 9 - 9.33 [II] A mass of 1.5 kg out in space moves in a...Ch. 9 - 34. (a) Compute the radial acceleration of a point...Ch. 9 - 35. A mass is whirling in a circle at the end of a...Ch. 9 - 36. A mass is whirling in a circle at the end of a...Ch. 9 - 37. Imagine a weightless 2.00-kg mass far out in...Ch. 9 - 38. The old Bohr model of the hydrogen atom has a...Ch. 9 - 39. With the previous problem in mind, what is the...Ch. 9 - Prob. 40SPCh. 9 - 41. A car moving at 5.0 m/s tries to round a...Ch. 9 - 42. A box rests at a point 2.0 m from the central...Ch. 9 - 43. A stone rests in a pail which is tied to a...Ch. 9 - Prob. 44SPCh. 9 - 45. Refer back to Fig. 9-6. How large must h be...Ch. 9 - 46. If, in Fig. 9-6 and in Problem 9.33, h = 2.5R,...Ch. 9 - 47. A satellite orbits the Earth at a height of...Ch. 9 - 49. The human body can safely tolerate a vertical...Ch. 9 - 50. A 60.0-kg pilot in a glider traveling at 40.0...Ch. 9 - 51. Suppose the Earth is a perfect sphere with R =...Ch. 9 - 9.52 [III] A mass m hangs at the end of a pendulum...
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- In the Bohr model of the hydrogen atom, an electron moves in a circular path around a proton. The speed of the electron is approximately 2.20 x 106 m/s. Find (a) the force acting on the electron as it revolves in a circular orbit of radius 0.529 x 10-10 m and (b) the centripetal acceleration of the electron.arrow_forwardA planet travels in a circular orbit around a star. The radius of the circular orbit is 3.33×1011 m and the orbital period is 1.37 years. What is the magnitude of the centripetal acceleration of the planet, in m/s2?arrow_forwardA satellite is placed in a circular orbit to observe the surface of Mars from an altitude of 144 km. The equatorial radius of Mars is 3397 km. If the speed of the satellite is 3480 m/s, what is the magnitude of the centripetal acceleration of the satellite?arrow_forward
- An Earth satellite moves in a circular orbit 878 km above Earth's surface with a period of 102.3 min. What are (a) the speed and (b) the magnitude of the centripetal acceleration of the satellite?arrow_forwardThe earth orbits the sun once every π x 107 s at a distance of 1.5 x 1011 m. Assuming uniform circular motion, what is its centripetal acceleration?arrow_forwardA spacecraft orbiting the Earth has the following vectors: R=7016i + 5740j + 638k V=0.24i - 0.79j - 7.11k Calculate the total ΔV required for the spacecraft to change its orbit to a new orbit of the same inclination but now it is circular with a height of 550 km.arrow_forward
- If a particle moves in a circle with a radius of 1.35 m at a constant speed of 6.70 m/s, what are the magnitude and direction of its centripetal acceleration?arrow_forwardThe proton is traveling at a constant speed of 5.5 × 105 m/s, and the radius of the kissing circle is 0.02 m. The mass of a proton is 1.7 × 10-27 kg. When the proton is at location A, what are the magnitude and direction (d|p→|/dt)(p^) of the parallel component of dp→/dt?arrow_forwardA particle moves in a circular path of radius r with speed V. It then increases its speed to 3V, while traveling along the same circular path. The centripetal acceleration of the particle must change by what factor? 3 1 9 5arrow_forward
- An Earth satellite moves in a circular orbit 640 km (uniform circular motion) above Earth’s surface with a period of 98.0 min. What are (a) the speed and (b) the magnitude of the centripetal acceleration of the satellite?arrow_forwardA proton has a speed 5x106m/s and is moving in a circle in the xy plane of a radius r = 0.175m.what is its position in the xy plane at time t= 2.0x10-7 s? at t= 0, the position of the proton is 0.175mî and its circles counter clockwise.sketch the trajectory.arrow_forward23. A particle, moving in a circle of radius 10 cm with a uniform speed, completes a revolution in 4 seconds. The magnitude of the centripetal acceleration it experiences is________cm/s^2.A. 2.5 π2B. 5 π2C. 3 π2D. 6 π2arrow_forward
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