Problem 1: Two 2.0-mm-diameter beads, C and D, are ro = 10 mm apart, measured between their centers (see Fig.1). Bead C has mass mc = 1.0 g and charge qc = 2.0 nC. Bead D has mass mp = = 2.0 g and charge qp = -1.0 nC. If the beads are released from rest, what are the speeds uc and up at the instant the beads collide? C Partial answer: Up = 4.9 cm/s. a) Write down the energy conservation law for this system. To compute potential energies, use the expression for the potential energy of two point charges (do not plug in the numbers at this step, but work only with symbols). Note that the final potential energy of the system is not zero, and it is determined by the distances between the centers of the beads when they collide. At the end of this step you will have an expression that contains both speeds uc and up, but you will not know yet how to compute them separately. 5=10mm R=1mm D FIG. 1: The scheme for Problem 1 b) In addition to the energy conservation, in this problem you need to use the law of conservation of linear momentum. The linear momentum of this system as a whole is equal to zero. Which relation between the speeds vc and up has to be satisfied to guarantee zero linear momentum (express up in terms of uc, but do not plug in the numerical values yet)? c) Use this expression for up in the energy conservation law from part a) and work out the symbolic formula for vc in terms of mc, mp, qc, qd, ro and R. Only after you have the final formula, plug in the numerical values of the parameters to compute the speed vc. Compute up from vc.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 52P: Suppose Earth and the Moon each carried a net negative charge Q . Approximate both bodies as point...

See similar textbooks

Related questions

Concept explainers

Question

I am struggling really bad with this problem I was wondering if you can help me because I am having a really bad time figuring it out, is there a chance that you can help me with PART A, Part b, and part c and also can you label which part is PART A, PART B AND PART C. Thank you

Problem 1: Two 2.0-mm-diameter beads, C and D, are ro = 10 mm
apart, measured between their centers (see Fig.1). Bead C has mass
mc =
1.0 g and charge qc = 2.0 nC. Bead D has mass mp = = 2.0 g
and charge qp = -1.0 nC. If the beads are released from rest, what
are the speeds uc and up at the instant the beads collide?
C
Partial answer: Up = 4.9 cm/s.
a) Write down the energy conservation law for this system. To compute potential energies, use the
expression for the potential energy of two point charges (do not plug in the numbers at this step, but work
only with symbols). Note that the final potential energy of the system is not zero, and it is determined
by the distances between the centers of the beads when they collide. At the end of this step you will
have an expression that contains both speeds uc and up, but you will not know yet how to compute them
separately.
5=10mm
R=1mm
D
FIG. 1: The scheme for Problem 1
b) In addition to the energy conservation, in this problem you need to use the law of conservation
of linear momentum. The linear momentum of this system as a whole is equal to zero. Which relation
between the speeds vc and up has to be satisfied to guarantee zero linear momentum (express up in terms
of uc, but do not plug in the numerical values yet)?
c) Use this expression for up in the energy conservation law from part a) and work out the symbolic
formula for vc in terms of mc, mp, qc, qd, ro and R. Only after you have the final formula, plug in the
numerical values of the parameters to compute the speed vc. Compute up from vc.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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