Boxes A, B, and C are identical. Both B and C are initially at rest when box B is struck by box A, which has an initial speed, VA of 3 ft/s. After the impact between A and B, the friction causes the speed of boxes A and B to decrease while box C speeds up until all the boxes are moving at the same speed as a single mass. a) Find the velocity of boxes A and B immediately after the impact if the two boxes stick together (in ft/s). At this time, box C has not started moving yet. [Ans. to Check: VA= 1.5 ft/s] b) Draw FBDS for (1) boxes A & B, which are now stuck together and (2) box C, which is starting to speed up, but is slipping on boxes A & B.
Boxes A, B, and C are identical. Both B and C are initially at rest when box B is struck by box A, which has an initial speed, VA of 3 ft/s. After the impact between A and B, the friction causes the speed of boxes A and B to decrease while box C speeds up until all the boxes are moving at the same speed as a single mass. a) Find the velocity of boxes A and B immediately after the impact if the two boxes stick together (in ft/s). At this time, box C has not started moving yet. [Ans. to Check: VA= 1.5 ft/s] b) Draw FBDS for (1) boxes A & B, which are now stuck together and (2) box C, which is starting to speed up, but is slipping on boxes A & B.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![1) Boxes A, B, and C are identical. Both B and C are initially at rest when box B is struck by box
A, which has an initial speed, VA, of 3 ft/s. After the impact between A and B, the friction
causes the speed of boxes A and B to decrease while box C speeds up until all the boxes are
moving at the same speed as a single mass.
a) Find the velocity of boxes A and B immediately after the impact if the two boxes stick
together (in ft/s). At this time, box C has not started moving yet. [Ans. to Check: vA' = 1.5
ft/s]
b) Draw FBDS for (1) boxes A & B, which are now stuck together and (2) box C, which is
starting to speed up, but is slipping on boxes A & B.
c) Knowing that the coefficient of friction between all the surfaces is 0.2, calculate the time
required for the three boxes to reach the same speed (in seconds). Hint: you will need two
equations and two unknowns to solve for this. Use your two FBDS to write the two
equations. [Ans. to Check: 0.0776 sec]
Before
After
V
VA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e11f595-a40a-4bf3-b7d2-0a0cab1f1556%2F17ba8630-24b8-4a85-aa48-28f2e9da75f3%2Fcg26fbh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) Boxes A, B, and C are identical. Both B and C are initially at rest when box B is struck by box
A, which has an initial speed, VA, of 3 ft/s. After the impact between A and B, the friction
causes the speed of boxes A and B to decrease while box C speeds up until all the boxes are
moving at the same speed as a single mass.
a) Find the velocity of boxes A and B immediately after the impact if the two boxes stick
together (in ft/s). At this time, box C has not started moving yet. [Ans. to Check: vA' = 1.5
ft/s]
b) Draw FBDS for (1) boxes A & B, which are now stuck together and (2) box C, which is
starting to speed up, but is slipping on boxes A & B.
c) Knowing that the coefficient of friction between all the surfaces is 0.2, calculate the time
required for the three boxes to reach the same speed (in seconds). Hint: you will need two
equations and two unknowns to solve for this. Use your two FBDS to write the two
equations. [Ans. to Check: 0.0776 sec]
Before
After
V
VA
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