We have that for the Question "What is the tension in the string connecting block 100 to block 99? What is the tension in the string connecting block 50 to block 51?"
it can be said that
From the question we are told
Each of 100 identical blocks sitting on a frictionless surface is connected to the next block by a massless string. The first block is pulled with a force of 100 N.
Assuming mass of each block is 1 kg
The equation for the force is given as
Now, between block 100 and 99,
Now between block 50 and 51. There are 50 blocks behind 51 st block, so,
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Answer:
The tension in the string connecting block 50 to block 51 is 50 N.
Explanation:
Given that,
Number of block = 100
Force = 100 N
let m be the mass of each block.
We need to calculate the net force acting on the 100th block
Using second law of newton
We need to calculate the tension in the string between blocks 99 and 100
Using formula of force
We need to calculate the total number of masses attached to the string
Using formula for mass
We need to calculate the tension in the string connecting block 50 to block 51
Using formula of tension
Put the value into the formula
Hence, The tension in the string connecting block 50 to block 51 is 50 N.
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So organizing the information given in the statement we find that:
Doing these calculations we find that:
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Explanation: