Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 3.4, Problem 2dT
Imagine a single object whose mass is equal to the mass of system C and whose momentum is equal at all times to
The velocity that you have found is called the velocity of the center of mass,
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Students have asked these similar questions
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 mBtravels 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
A toy block of mass m₁ lies on a frictionless surface and is connected to
an ideal spring with spring constant k. The spring is compressed a distance d from its
natural rest length at the origin and is released from rest at time t = 0. A second block
of mass m₂ lies at rest at the origin. Write down the differential equation describing the
motion of block m₁ before the blocks collide. At what time will the collision take place?
If the blocks stick together after the collision, what is the velocity of the combined
system as a function of time?
Law
Application
helle
m1
-d
m2
0
X
Chapter 3 Solutions
Tutorials in Introductory Physics
Ch. 3.1 - A block is moving to the left on a frictionless,...Ch. 3.1 - In a separate experiment, two hands push...Ch. 3.1 - Shown at right is a side-view diagram of the...Ch. 3.1 - Recall the motion of the block in part B. For each...Ch. 3.1 - Generalize from your answers to pans A—D to...Ch. 3.1 - A glider, glider A, Is pulled by a suing across a...Ch. 3.1 - The diagrams at right show two identical gliders...Ch. 3.1 - A block on a frictionless table is connected to a...Ch. 3.2 - Three students discuss the final momentum and...Ch. 3.2 - Which cart takes longer to travel between the two...
Ch. 3.2 - Use Newton's second law and the definition of...Ch. 3.2 - How does the net work done on cart A(Wnet,A)...Ch. 3.2 - Refer again to the discussion among the three...Ch. 3.2 - Release the ball so that it rolls straight toward...Ch. 3.2 - Release the ball at an angle to the ramp as shown...Ch. 3.2 - How does the direction of the net force on the...Ch. 3.2 - How does the change in kinetic energy of the ball...Ch. 3.2 - For motion 1, draw vector in region II of the...Ch. 3.2 - For motion 2, draw vectors in region II of the...Ch. 3.2 - Consider the change in momentum vectors you...Ch. 3.3 - What differences between gliders M and N could...Ch. 3.3 - For experiment 1,draw and label separate free-body...Ch. 3.3 - In the spaces provided, draw and label vectors to...Ch. 3.3 - A student compares the final speeds of gliders M...Ch. 3.3 - A. Suppose that glider D is free to move and...Ch. 3.3 - A second experiment is performed in which glider D...Ch. 3.3 - Consider the two experiments described above. When...Ch. 3.3 - When the momentum of an object or system of...Ch. 3.3 - Two students the second experiment, in which...Ch. 3.4 - Draw separate free-body diagrams for each block...Ch. 3.4 - Rank the magnitudes of all the horizontal forces...Ch. 3.4 - The velocity vectors for blocks A and B are shown...Ch. 3.4 - Use your knowledge of the velocities and changes...Ch. 3.4 - Draw and label a free-body diagram for system C at...Ch. 3.4 - Write an equation for the momentum of system C in...Ch. 3.4 - Generalize from your results to answer the...Ch. 3.4 - Imagine a single object whose mass is equal to the...Ch. 3.4 - What are the external forces exerted on system C...Ch. 3.4 - The momentum vectors of each block before the...Ch. 3.4 - Draw arrows that represent the direction of the...
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