University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 8.26E
An atomic nucleus suddenly bursts apart (fissions) into two pieces. Piece A, of mass mA, travels off to the left with speed υA, Piece B, of mass mB, travels off to the right with speed υB. (a) Use conservation of momentum to solve for υB in terms of mA, mB, and υA. (b) Use the results of part (a) to show that KA/KB = mB/mA, where KA, and KB are the kinetic energies of the two pieces.
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An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass mA travels to the left with a speed of vA. Piece B with mass mB travels to the right with speed vB. Show the velocity of piece B in terms of mA, mB and VA.
Solution:
Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so:
pBf + pAf = 0
Substituting the expression for momentum results to
mBv + mAv = 0
Deriving the expression for the velocity of piece B results to
An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass mA travels to the left with a speed of vA. Piece B with mass mB travels to the right with speed vB. Show the velocity of piece B in terms of mA, mB and VA.
Solution:
Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so:
pBf + pAf = 0
Substituting the expression for momentum results to
mBv_____ + _____mAv_____ = 0
Deriving the expression for the velocity of piece B results to
v_____=(mA/m_____)vA
An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass ma travels to the left with
Piece B with mass mg travels to the right with speed vB. Show the velocity of piece B in terms of
a speed of
VA.
ma, mB and VA.
Solution:
Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so:
PBf +
PAf
= 0
Substituting the expression for momentum results to
mBV
mAV
= 0
Deriving the expression for the velocity of piece B results to
V
=(mA/m
VA
Chapter 8 Solutions
University Physics (14th Edition)
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