Table cloth pulled from underneath a block?

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SUMMARY

The discussion centers on a physics problem involving a small block on a tablecloth being pulled horizontally at a speed of 1.5 m/s. The block, initially at rest, slips on the cloth until it reaches the end, after which it slides on the table with a coefficient of friction (μ) of 0.1. Key calculations involve determining the block's velocity upon first contact with the table and the distance it travels before coming to rest. The time taken for the cloth to be pulled from under the block is calculated as 0.8 seconds.

PREREQUISITES
  • Understanding of Newton's Second Law (Fnet = ma)
  • Knowledge of frictional forces (Ff = μN)
  • Ability to calculate time using distance and speed
  • Familiarity with Free Body Diagrams for analyzing forces
NEXT STEPS
  • Calculate the block's velocity using kinematic equations during the time it is on the tablecloth.
  • Determine the distance the block slides on the table using frictional force calculations.
  • Explore the effects of different coefficients of friction on the block's motion.
  • Review similar physics problems involving motion on surfaces with friction.
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Students studying physics, particularly those focusing on mechanics and motion, as well as educators looking for practical examples of friction and acceleration concepts.

draymire
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Homework Statement


A very small block (mass "m") is at rest on a tablecloth on a flat table. the block is 80 cm from end A of the tablecloth. Suddenly, end B of the table cloth is pulled horizontally with speed Vo = 1.5 m/s. the block immediately slips on the cloth and continues to do so until the end of the cloth passes under it. Then the block slides on the table until it comes to rest. (mu) = 0.1 between the block and the table and between the block and the cloth.

a) What is the velocity of the block when it first makes contact with the table?

b) How far from its initial position does the block finally come to rest?


Homework Equations




Vertically

Fnet=ma=N-G

Horizontally

Fnet=P-Ff

Ff=(mu)N

N=mg

The Attempt at a Solution



time before cloth is out from under is 0.8/1.5 seconds


I have no clue where to go on this. if anyone could give me pointers on where to go with this question would be extremely appreciated. I don't want the work done for me just an explanation on how to go about this question.

Thanks!
 
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Start by drawing a Free Body Diagram of the small block to determine the net horizontal force acting on it while the tablecloth is being pulled. Then think Newton 2 to determine its acceleration, and it's speed and distance moved based on your time calculation for the length of time it is in touch with the tablecloth. Then repeat this calculation in similar manner to determine the answer to part b.
 
draymire said:

Homework Statement


A very small block (mass "m") is at rest on a tablecloth on a flat table. the block is 80 cm from end A of the tablecloth. Suddenly, end B of the table cloth is pulled horizontally with speed Vo = 1.5 m/s. the block immediately slips on the cloth and continues to do so until the end of the cloth passes under it. Then the block slides on the table until it comes to rest. (mu) = 0.1 between the block and the table and between the block and the cloth.

a) What is the velocity of the block when it first makes contact with the table?

b) How far from its initial position does the block finally come to rest?


Homework Equations




Vertically

Fnet=ma=N-G

Horizontally

Fnet=P-Ff

Ff=(mu)N

N=mg

The Attempt at a Solution



time before cloth is out from under is 0.8/1.5 seconds


I have no clue where to go on this. if anyone could give me pointers on where to go with this question would be extremely appreciated. I don't want the work done for me just an explanation on how to go about this question.

Thanks!

Wow, estimating using physics...that's great!

I also measure the size of my Burgundy Tablecloths. Hahaha...can't hardly made it.
 

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