Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Textbook Question
Chapter 6, Problem 5P
In a cyclotron (one type of particle accelerator), a deuteron (of mass 2.00 u) reaches a final speed of 10.0% of the
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Scientists design a new particle accelerator in which protons with mass m= 1.7x 10^−27 (kg) follow a circular trajectory given by r =ccos(kt^2)i+ csin(kt^2)j where c= 5.0 (m) and k= 8.0 x10^4 (radius/s^2) are constants and t is the elapsed time. a) what is the radius of the circle? b) what is the proton’s speed at t = 3.0 s?
c) what is the force on the proton at t = 3.0 s? Give your answer in component form.
A cyclotron is a machine that can be used to accelerate charged particles to achieve large kinetic energies. The resulting beams of highly energetic particles then can be used for many medical applications, including Proton Therapy (a more precise form of "radiation" used in the treatment of some cancers).
If a proton (of mass 1.673x10-27kg) is accelerated to its maximum velocity inside a dee with radius 4.46cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 3.49x10-2T, what is the resulting velocity of the proton in units of km/s (kilometer per second)?
The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light.
Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole.
(a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.
Chapter 6 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 6.1 - You are riding on a Ferris wheel that is rotating...Ch. 6.2 - A bead slides at constant speed along a curved...Ch. 6.3 - Consider the passenger in the car making a left...Ch. 6.4 - A basketball and a 2-inch-diameter steel ball,...Ch. 6 - Prob. 1OQCh. 6 - Prob. 2OQCh. 6 - A door in a hospital has a pneumatic closer that...Ch. 6 - A pendulum consists of a small object called a bob...Ch. 6 - Prob. 5OQCh. 6 - An office door is given a sharp push and swings...
Ch. 6 - Prob. 7OQCh. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - An object executes circular motion with constant...Ch. 6 - Describe the path of a moving body in the event...Ch. 6 - Prob. 5CQCh. 6 - If someone told you that astronauts are weightless...Ch. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Why does a pilot tend to black out when pulling...Ch. 6 - A pail of water can be whirled in a vertical path...Ch. 6 - Prob. 1PCh. 6 - Whenever two Apollo astronauts were on the surface...Ch. 6 - In the Bohr model of the hydrogen atom, an...Ch. 6 - A curve in a road forms part of a horizontal...Ch. 6 - In a cyclotron (one type of particle accelerator),...Ch. 6 - A car initially traveling eastward turns north by...Ch. 6 - Prob. 7PCh. 6 - Consider a conical pendulum (Fig. P6.8) with a bob...Ch. 6 - A coin placed 30.0 cm from the center of a...Ch. 6 - Why is the following situation impossible? The...Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - A 40.0-kg child swings in a swing supported by two...Ch. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - A roller coaster at the Six Flags Great America...Ch. 6 - One end of a cord is fixed and a small 0.500-kg...Ch. 6 - An adventurous archeologist (m = 85.0 kg) tries to...Ch. 6 - An object of mass m = 5.00 kg, attached to a...Ch. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - A person stands on a scale in an elevator. As the...Ch. 6 - Review. A student, along with her backpack on the...Ch. 6 - A small container of water is placed on a...Ch. 6 - Prob. 26PCh. 6 - The mass of a sports car is 1 200 kg. The shape of...Ch. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - A small piece of Styrofoam packing material is...Ch. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Assume the resistive force acting on a speed...Ch. 6 - Review. A window washer pulls a rubber squeegee...Ch. 6 - Prob. 35PCh. 6 - You can feel a force of air drag on your hand if...Ch. 6 - A car travels clockwise at constant speed around a...Ch. 6 - Prob. 38APCh. 6 - A string under a tension of 50.0 N is used to...Ch. 6 - Disturbed by speeding cars outside his workplace,...Ch. 6 - A car of mass m passes over a hump in a road that...Ch. 6 - A childs toy consists of a small wedge that has an...Ch. 6 - A seaplane of total mass m lands on a lake with...Ch. 6 - An object of mass m1 = 4.00 kg is tied to an...Ch. 6 - A ball of mass m = 0.275 kg swings in a vertical...Ch. 6 - Why is the following situation impossible? A...Ch. 6 - Prob. 47APCh. 6 - Prob. 48APCh. 6 - Prob. 49APCh. 6 - A basin surrounding a drain has the shape of a...Ch. 6 - A truck is moving with constant acceleration a up...Ch. 6 - The pilot of an airplane executes a loop-the-loop...Ch. 6 - Review. While learning to drive, you arc in a 1...Ch. 6 - A puck of mass m1 is tied to a string and allowed...Ch. 6 - Prob. 55APCh. 6 - Prob. 56APCh. 6 - Prob. 57APCh. 6 - Review. A piece of putty is initially located at...Ch. 6 - Prob. 59APCh. 6 - Members of a skydiving club were given the...Ch. 6 - A car rounds a banked curve as discussed in...Ch. 6 - Prob. 62APCh. 6 - A model airplane of mass 0.750 kg flies with a...Ch. 6 - Prob. 64APCh. 6 - A 9.00-kg object starting from rest falls through...Ch. 6 - For t 0, an object of mass m experiences no force...Ch. 6 - A golfer tees off from a location precisely at i =...Ch. 6 - A single bead can slide with negligible friction...Ch. 6 - Prob. 69CPCh. 6 - Prob. 70CP
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