How much force is required to start a block moving on level ground?

AI Thread Summary
To start a 1980 kg block moving on level ground with a static friction coefficient of 0.7, the required force can be calculated using the formula Fs = μs * N, where N is the normal force. Once in motion, the kinetic friction coefficient of 0.3 applies, requiring less force to maintain constant velocity. A person can apply 100N, and the discussion explores how many people are needed to pull the block at a constant speed, factoring in their reduced walking speed. The conversation also addresses calculating the number of blocks a crew of 59 can transport in a ten-hour workday, emphasizing the importance of time management and kinematics. The final question revolves around determining the time needed for a crew to accelerate the block to walking speed.
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Homework Statement


The Egyptian's sled system had a rather high coefficient of static friction (0.7) but a much lower coefficient of kinetic friction (0.3) How much force is required to start a block moving on level ground?
We know the block is 1980 kg

and after that:
Assume that one person is able to apply 100N the block. Using this value, how many people does it take to pull a block at constance velocity along flat ground?

Homework Equations





The Attempt at a Solution


Do i do Fs - Fk to find the answer to the first question? or is it just Fs?
 
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Just Fs .
 
and is the second one just fk?
 
Well why do you think static and kinetic friction are different forces? They are just names of different phases of the same force. So use Fs when block does not move and Fk when it has started moving.
 
thanks!
Assume that a comfortable walking speed for an average person is 1.33m/s Assume that the workers can only walk at half this speed while they were pulling a block, but that they would walk at this speed on the trip from the pyramid back to the quarry. At these speeds, how many blocks can one crew of 59 people, move from the quarry (5km away) to the pyramid in one ten hour work day?
 
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I am guessing that this one is related to the last. You can use simple kinematics for this- time for one round trip, how many stones for the crew in one round trip and then for the day.You have everything just go for it.
 
what forumula do I use? I'm confused what to do with the velocity
 
Well v=distance/t, what else?
 
:S and then?
 
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  • #10
Are you overcomplicating? Start with time for one round trip for one block. Since you have already calculated the people required for one block, you can calculate the no. of blocks a group of 59 would move in one round trip.The time for one trip divided by total working time and multiplied by no. of blocks in one trip is your answer.
 
  • #11
wow, yes i was over complicating it, thank you so much!
 
  • #12
sorry maybe i just don't understand what this question is asking but:
How long does it take a crew to accelerate a block to the walking speed?
 
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