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 3.3, Problem 2cT
Consider the two experiments described above. When the momentum of an object or system of objects did not change:
- were external forces exerted on the object or system?
- was there a net force on the object or system?
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Which of the following statement is true?
If the resultant force acting on a body of constant mass is zero the body's momentum is always zero.
If the resultant force acting on a body of constant mass is zero, the body's momentum is constant.
If the resultant force acting on a body of constant mass is zero, the body's momentum is decreasing.
If the resultant force acting on a body of constant mass is zero the body's momentum is increasing.
No answer
It may appear at first glance that Newton's 2nd and 3rd laws are independent claims. This, however, is not true - Newton's 3rd
law is simply a consequence of Newton's 2nd law. In this problem, you will prove Newton's 3rd law for the normal contact
force between two objects, using only Newton's 2nd law.
Consider two blocks with masses m₁ and m₂ in contact, with external forces F₁ and F2 applied, as shown in the figure. The
free body diagram for each block is also given, with internal forces fa and f, as shown.
F₁
F₁
fa
fb
ΣF =
ΣF =
m₁
m2
Submit
F₂
Complete the equations of motion for the entire system, as well as blocks 1 and 2 individually. Note, the forces have a signed
magnitude, where positive values correspond to the positive x-direction
ΣF=
= (m₁ + m₂) a
= m₁ a
= m₂ a
Use the above equations to write fa in terms of only fr:
fa =
m₁
You have used 0 of 4 attempts
m₂
F₂
Save
Calculator
After falling from rest from a height of 31 m, a 0.35-kg ball rebounds upward, reaching a height of 21 m. If the contact between ball and ground lasted
2.5 ms, what average force was exerted on the ball? (Enter the magnitude.)
6598
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all
intermediate results to at least four-digit accuracy to minimize roundoff error. N
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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