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The nucleus of a Xe 125 atom an isotope of the element xenon with mass 125 u is 6.0 fm in diameter. It has 54 protons and charges q=+54e.

What is the electric force on a proton 1.7 fm from the surface of the nucleus? Hint: Treat the spherical nucleus as a point charge.


What is the proton's acceleration?

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Vikas
VikasLv10
18 May 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1, What is the electric force on a proton 2.3 fm from the surface of the nucleus? Hint: Treat the spherical nucleus as a point charge.

2, What is the proton's acceleration?

P2) A uniformly charged sphere of radius R has an electricfield
3
E r
R
= for r < R.
Consider a very simplified model of the atom where the positivenucleus, consisting of Z
protons, is a point charge at the center of the atom, surrounded bya uniform cloud of Z
electrons.
(a) If the nucleus is displaced relative to the electron cloud by asmall distance x, what is
the force acting on the nucleus due to the cloud (and equivalently,the force acting on the
cloud due to the nucleus)?
(b) In PHYS 132 you will have seen simple harmonic oscillators,such as a mass on a
spring. It can be shown that if the acceleration a of an object isdirectly proportional to
its displacement x from a point of equilibrium, then the objectwill undergo simple
harmonic motion with a frequency:
2
f ?
p
= , where 2
a x
?
=-
Determine the frequency of oscillation if the nucleus is displacedrelative to the center of
the electron cloud and then let go. Hint: from knowing the massesof the protons and
electrons, is it the cloud that primarily moves back and forth oris it the nucleus?
Calculate this frequency for a hydrogen atom; you can find theatomic radius R on
Wikipedia. If this oscillating atom emits an electromagnetic waveat the same frequency,
what is its wavelength?

1. The Yukawa Potential energy function for the interaction ofneutrons and protons in a nucleus is . (a) What is the forceassociated with this potential energy? (b) If and Find the value ofthe force at r=a and at r=3a

2. For what value of the constant c is the forceconservative?

3. In a two-stage rocket, the exhaust velocity for the first stageburn is 3000 m/s and for the second stage burn is 3000 m/s. Assumethat during the entire sequence of burns the rocket is still nearenough to the surface of the earth to approximate the externalgravitational acceleration as 9.8m/s^2 , and ignore air resistance.The mass of the first stage engine and tanks is 2000kg. The mass ofthe fuel held in the first stage is 4000kg. The first stage fuelburns in 10 seconds. The first stage is then ejected. The mass ofthe second stage engine, tanks, and payload is 2000kg. The mass ofthe fuel held in the second stage is 2000kg. The second stage fuelburns in 5 seconds. (The second stage tanks remain attached to thepayload when empty.) (a) At what speed is the second stage/payloadcombination moving at the end of the second stage burn? (b) Howmuch faster is this than the speed if all the 6000kg fuel wereburned in the first stage in 15 seconds with the same exhaustvelocity (3000m/s) and the entire 4000kg assembly of the emptyrocket remained in one piece?

4. A particle with mass 10kg starts from rest at r = 10 and ?=0radians, following the trajectory given by r=10-2t , ?=0.2t. Findthe radial and angular components and of the force, as functions oftime, that will cause this motion

5. A sheet of material, mass 2kg, uniform density, is in the shapeof a right triangle bounded by the lines y=0, x=0, and y=4-x. Itattched to the origin, and free to rotate about the y axis. A forceof 1000 Newtons is applied perpendicular to the plane, located atthe x=4 point on the triangle as it starts to rotate. In aright-handed coordinate system, how fast will the object bespinning (in radians per second) as it crosses the y-z plane (thatis, when it has rotated through 270 degrees)?

Thank you in advanced.

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