A proton (mass 1.67 x 10-27 kg, charge +e) is fired directly at a lithium nucleus (mass 1.16 x 10-26 kg, charge +3e). If the proton'svelocity is 4.79 × 105 m/s when it is far from the nucleus, how far apart will the two particles be when the proton is at rest, just before itturns around? Assume the nucleus is free to recoil.m

Given: The intial speed of the proton is 4.79x105 m/s. The mass of the proton is 1.67x10-27 kg. The…

Answered: A proton (mass 1.67 x 10-27 kg, charge…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section: Chapter Questions

Problem 14PQ: Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1...

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A glass sphere with radius 4.00 mm, mass 85.0 g, and total charge 4.00 C is separated by 150.0 cm from a second glass sphere 2.00 mm in radius, with mass 300.0 g and total charge 5.00 C. The charge distribution on both spheres is uniform. If the spheres are released from rest, what is the speed of each sphere the instant before they collide?
(a) At what speed will a proton move in a circular path of the same radius as the electron in the previous exercise? (b) What would the radius of the path be if tlie proton had the same speed as the election? (c) What would the radius be if the proton had tlie same kinetic energy' as die electron? (d) The same momentum?
Review. Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and uniformly distributed charges 2.00 C and 3.00 C. They are released from rest when their centers are separated by 1.00 m. (a) How fast will each be moving when they collide? (b) What If? If the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? Explain.
One end of a light spring with force constant k = 125 N/m is attached to a wall, and the other end to a metal block with charge qA = 2.00 C on a horizontal, frictionless table (Fig. P23.34). A second block with charge qB = 3.60 C is brought close to the first block. The spring stretches as the blocks attract each other so that at equilibrium, the blocks are separated by a distance d = 12.0 cm. What is the displacement x of the spring? Figure P23.34
A particle of mass m and charge q moves at high speed along the x axis. It is initially near x = , and it ends up near x = +. A second charge Q is fixed at the point x = 0, y = d. As the moving charge passes the stationary charge, its x component of velocity does not change appreciably, but it acquires a small velocity in the y direction. Determine the angle through which the moving charge is deflected from the direction of its initial velocity.
Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?
(a) What is the final speed of an electron accelerated from rest through a voltage of 25.0 MV by a negatively charged Van de Graff terminal? (b) What is unreasonable about this result? (c) Which assumptions are responsible?
(a) At what speed will a proton move in a circular path of the same radius as the electron in Exercise 22.12? (b) What would the radius of the path be it the proton had the same speed as the electron? (c) What would the radius be if the proton had the same kinetic energy as the electron? (d) The same momentum?
An electron has an initial velocity of 5.00106m/s in a uniform 2.0010m/s electric field. The field accelerates the election in the direction opposite to its initial velocity, (a) What is the direction of the electric field? (b) How far does the electron travel before coming to rest? (c) How long does it take the electron to come to rest? (d) What is the electron's velocity when it returns to its starting point?
Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.
Eight identical charged particles with q = 1.00 nC are to be arrayed at the vertices of a cube of side d = 1.00 cm. What is the work required to assemble the particles into this arrangement?
For a system consisting of two identical negatively charged particles, sketch UE versus r and VE versus r. Comment on your graphs.

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