The nucleus of a 125 Xe atom (an isotope of the element xenon with mass of 125 u) is 6.0 fm in diameter [1 fm = 1 femtometer = 1 x 10-15 m], has 54 protons, and charge q = +54e. (a) What is the electric force on a proton 2.0 fm from the surface of the nucleus? (b) What is the proton's acceleration? HINT: Treat the nucleus as a sphere with a point charge at its center. Remember that a proton has a positive charge of 1.6 x 10-19 C and that the mass of a proton is approximately 1.67 x 10.27 kg. A sketch may also turn out to be useful.

The nucleus of a 125 Xe atom (an isotope of the element xenon with mass of 125 u) is 6.0 fm in diameter [1 fm = 1 femtometer = 1 x 10-15 m], has 54 protons, and charge q = +54e. (a) What is the electric force on a proton 2.0 fm from the surface of the nucleus? (b) What is the proton's acceleration? HINT: Treat the nucleus as a sphere with a point charge at its center. Remember that a proton has a positive charge of 1.6 x 10-19 C and that the mass of a proton is approximately 1.67 x 10.27 kg. A sketch may also turn out to be useful.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: What is the magnitude of the electric force of attraction between an iron nucleus (? = +26?) and its…

A: Given data The magnitude of the charge on the iron nucleus is qi = 26e = 26 x 1.6 x 10-19 C The…

Q: Problem #3: If I have a charge of q1=1.0x10-6C at the origin,r2=(0m,0m,0m), and a charge of…

Q: Two very small spheres are initially neutral and separated by a distance of 0.604 m. Suppose that…

Q: A helium ion, He*, is composed of a nucleus and an electron. The nucleus has two neutrons (charge…

Q: The "Millikan oil drop" experiment identified the electron as the fundamental unit of electric…

A: Force due to the electric field is upwards and weight acts downwards. Hence,

Q: Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid that happens to have a positive…

A: The concept which will be used are given in the question. Find the complete solution in image…

Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…

A: given - charge of alpha particle = +2e mass of alpha particle = 6.64 ×10-27 kg initial velocity =…

Q: (a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of…

A: Given data: Pin's mass m = 8.0 g silver electrons per atom n = 47 molar mass M = 107.87 g/mol charge…

Q: Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid that happens to have a positive…

A: Given: The mass mA is 8.7×1017 kg. The value of charge qA is 4400 C. The mass…

Q: A molecule consists of an electric dipole with charges q and -q equal to 1x10^-9 C separated by a…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Electrons have a charge of q = -1.602 × 10-19 C. A student observes that a Styrofoam cup has a total…

Q: Two very small spheres are initially neutral and separated by a distance of 0.668 m. Suppose that…

A: Given:r=0.668 mn = 8.87*1013 electrons charge on sphere 1 q1=+ne = 8.87*1013*1.6*10-19…

Q: can someone please help me with this physics problem? thanks

A: Here is a detailed step-by-step explanation Step 1: Understanding the problem:We need to find the…

Q: Adding a proton to a nucleus The nucleus of an atom is positively charged because it consists of…

A: Q = 50q r = 6 x 10-11 m

Q: A uniform electric field has a magnitude of 2.0×10^4 N/C and points to right of the electron is…

Q: Considering electron and proton as two charged particles separated by d = 5.8 × 10-¹¹ m calculate…

A: Charge on electron qe=-1.6×10-19 C Charge on proton qp=+1.6×10-19 C sepration d=5.8×10-11 m

Q: Four identical metallic objects carry the following charges: +1.96, +6.43, -4.96, and -9.55 μC. The…

A: Given Data :there are 4 identical metallic object and charges on the is given asq1 = 1.96 μCq2 =…

Q: (b) What is the electric field due to the electron at the location of the alpha particle? The…

Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…

Q: A helium nucleus is composed of two protons (positively charged) and two neutrons (charge neutral).…

A: Charge on proton, q = 1.6×10-19 CSeparation, r = 5.18×10-15 CForce, F = ?

Q: From a distance of 10 cm, a proton is projected with a speed of v= 4.0 x 106 m/s directly at a…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

The nucleus of a 125Xe atom (an isotope of the element xenon with mass of 125 u) is 6.0 fm in diameter [1
fm = 1 femtometer = 1 x 10-15 m], has 54 protons, and charge q = +54e.
(a) What is the electric force on a proton 2.0 fm from the surface of the nucleus?
(b) What is the proton's acceleration?
HINT: Treat the nucleus as a sphere with a point charge at its center. Remember that a proton has a
positive charge of 1.6 x 10-19 C and that the mass of a proton is approximately 1.67 x 10.27 kg. A sketch may
also turn out to be useful.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: A proton is placed in front of xenon nucleus having 54 proton

VIEW

Step 2: Determining electric force and acceleration of proton

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A small drop of water is suspended motionless in air by a uniform electric field that is directed upward and has a magnitude of 7010 N/C. The mass of the water drop is 4.36 × 10-9 kg. How many excess electrons or protons reside on the drop?
An electron is shot directly toward the center of a large metal plate that has surface charge density −2.50 ✕ 10−6 C/m2. If the initial kinetic energy of the electron is 1.50 ✕ 10−16 J and if the electron is to stop (owing to electrostatic repulsion from the plate) just as it reaches the plate, how far from the plate must the launch point be? ____________m
What is the magnitude of acceleration of an electron in a uniform electric field of (3.70x10^1) N/C ? The answer should be in m/s2 to 3 significant figures.
In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 x 10-27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very far from a stationary gold nucleus, is fired with a velocity of 2.98 × 107 m/s directly toward the nucleus (charge +79e). What is the smallest distance between the alpha particle and the nucleus before the alpha particle reverses direction? Assume the gold nucleus remains stationary. fm
(a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 8.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. (b) Imagine adding electrons to the pin until the negative charge has the very large value 3.00 mC. How many electrons are added for every 109 electrons already present?
(a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 13.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. (b) Imagine adding electrons to the pin until the negative charge has the very large value 1.00 mC. How many electrons are added for every 109 electrons already present?
In this example, we will analyze the motion of an electron that is released in an electric field. The terminals of a 100 V battery are connected to two large, parallel, horizontal plates 1.0 cm apart. The resulting charges on the plates produce an electric field E in the region between the plates that is very nearly uniform and has magnitude E = 3.0×104 N/C. Suppose the lower plate has positive charge, so that the electric field is vertically upward, as shown in (Figure 1). (The thin pink arrows represent the electric field.) If an electron is released from rest at the upper plate, what is its speed just before it reaches the lower plate? How much time is required for it to reach the lower plate? The mass of an electron is mẹ = 9.11 x 10-31 kg. The thin arrows represent the uniform electric field. 1.0 cm 100 V In this example, suppose a proton (mp = 1.67 × 10-27 kg) is released from rest at the positive plate. What is its speed just before it reaches the negative plate? Express your…
The electric field at point P is 9.3 x 1020 N/C @ 343°. What is the angle of the force experienced by a proton if it is placed at point P. Express your answer in degrees.
Given the magnitude of an electric field directed downward equals 100 N/C. If two point charges (qA and qB), qA=2000 V and qB= 1000V. The charges are located 10 cm apart. What is the field strength at qA?
An electric dipole consists of a particle with a charge of -2 x 10–6 C at the origin and a particle with a charge of +2 x 10–6 C on the y-axis at y = -4 x 10–3 m. Its dipole moment is Select answer from the options below 0 C · m, because the net charge is 0 . 8.0 x 10–9 C · m, in the negative x-direction. 8.0 x 10–9 C · m, in the negative y-direction. 8.0 x 10–9 C · m, in the positive x-direction. 8.0 x 10–9 C · m, in the positive y-direction.
A small drop of water is suspended motionless in air by a uniform electric field that is directed upward and has a magnitude of 7420 N/C. The mass of the water drop is 4.78 × 10-9 kg. How many excess electrons or protons reside on the drop
Two chloride ions and two sodium ions are in water, the “effective charge” on the chloride ions (Cl−) is −2.00 × 10−21 C and that of the sodium ions (Na+) is +2.00 × 10−21 C. (The effective charge is a way to account for the partial shielding due to nearby water molecules.) Assume that all four ions are coplanar. where a = 0.280 nm, b = 0.760 nm, and c = 0.460 nm. What is the direction of electric force on the chloride ion in the lower right-hand corner in the diagram? Enter the angle in degrees where positive indicates above the negative x-axis and negative indicates below the positive x-axis. ° Prev