Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 17.3, Problem 3dTH
To determine
To Explain: The error in the reasoning of the given statement which gives the value of the momentum of the glider A in the reference frame of the glider X as
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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
In the four momentum treatment of relativistic particle collisions or decays,
The mass of a particle is different for various observers.
O Momentum and energy are still conserved in any inertial frame of reference.
O The energy equals the sum of the momentum, pc, plus the mass, mc2.
O The momentum and energy for a process are the same in all frames of reference.
Chapter 17 Solutions
Tutorials in Introductory Physics
Ch. 17.1 - 1. A hand pushes two blocks, block A and block B,...Ch. 17.1 - Prob. 1bTHCh. 17.1 - Prob. 1cTHCh. 17.1 - 1. A hand pushes two blocks, block A and block B,...Ch. 17.1 - Draw and label arrows on the diagram at points AG...Ch. 17.1 - For points B, D, and G, determine whether the...Ch. 17.1 - In the space provided, sketch a freebody diagram...Ch. 17.1 - Is the net work done on the block positive,...Ch. 17.1 - Consider reference frame R, moving downward with...Ch. 17.1 - List the forces exerted on the block after it has...
Ch. 17.1 - Write an expression for the net work done on the...Ch. 17.1 - Prob. 5aTHCh. 17.1 - Prob. 5bTHCh. 17.1 - Prob. 5cTHCh. 17.1 - Suppose the block in the previous problem were...Ch. 17.2 - In each question below, consider the interval that...Ch. 17.2 - In each question below, consider the balls just...Ch. 17.2 - When puck 1 crosses the second dotted line, is...Ch. 17.2 - When puck 1 crosses the second dotted line, is the...Ch. 17.2 - When puck 1 crosses the second dotted line, is the...Ch. 17.3 - When puck 1 cross second dotted line, is puck 2 to...Ch. 17.3 - Draw an arrow for each glider to represent the...Ch. 17.3 - Consider the following incorrect statement:...Ch. 17.3 - A firecracker is at rest on a frictionless...Ch. 17.3 - A block slides down a frictionless incline. The...Ch. 17.3 - Suppose the incline in part b is now placed on a...Ch. 17.3 - Two blocks, A and B. are connected by a massless...Ch. 17.3 - Prob. 3aTHCh. 17.3 - Prob. 3bTHCh. 17.3 - Draw momentum vectors of gliders A and B in the...Ch. 17.3 - Prob. 3dTHCh. 17.3 - Use your momentum vectors from part c to determine...Ch. 17.3 - Prob. 3fTHCh. 17.3 - In the table at right, draw the momentum vectors...Ch. 17.3 - Prob. 4bTHCh. 17.3 - Prob. 4cTHCh. 17.3 - Prob. 4dTHCh. 17.3 - Prob. 4eTHCh. 17.3 - Prob. 4fTHCh. 17.4 - In the space provided, draw separate arrows...Ch. 17.4 - Prob. 1bTHCh. 17.4 - In the space provided, draw separate arrows for...Ch. 17.4 - Prob. 2bTHCh. 17.4 - Construct and label a vector showing the initial...Ch. 17.4 - Object A collides on a horizontal frictionless...Ch. 17.4 - On the same horizontal surface, object C collides...Ch. 17.4 - Consider the following incorrect statement:...
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