Each of 108 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 108N.

Part A. What is the tension in the string connecting block 108 to block 107?
Part B. What is the tension in the string connecting block 54 to block 55?

Part A:

The tension in the string connecting block 108 to block 107 can be calculated by considering the equilibrium of forces. Since the blocks are identical and the surface is frictionless, the force applied on each block is the same.

The force applied on block 1 is 108N, and this force is transmitted through the string to all the other blocks.

Since there are 107 strings between block 1 and block 108, the force is divided equally among them. Therefore, the tension in each string is:

Tension = Force / Number of strings
Tension = 108N / 107
Tension ≈ 1.01N

So, the tension in the string connecting block 108 to block 107 is approximately 1.01N.

Part B:
Similarly, for the string connecting block 54 to block 55, the tension in the string can be calculated by considering the equilibrium of forces.

Since there are 54 strings between block 1 and block 54, the force is divided equally among them.

Tension = Force / Number of strings
Tension = 108N / 54
Tension = 2N

So, the tension in the string connecting block 54 to block 55 is 2N.

To find the tension in the string, we need to consider two factors: the force applied to the first block and the acceleration of the entire system. Let's break down the problem step by step:

Part A: Tension between Block 108 and Block 107
To find the tension in the string between Block 108 and Block 107, we can analyze the forces acting on Block 108.

Step 1: Determine the net force on Block 108.
The net force acting on Block 108 is the difference between the applied force and the tension force of the string between Block 108 and Block 107. Since the applied force is 108 N and there is only one string connected to Block 107, the net force is 108 N.

Step 2: Determine the acceleration of the system.
To find the acceleration of the system, we need to consider the total mass of the system. Since each block has the same mass, the total mass of the system is 108 blocks multiplied by the mass of one block.

Step 3: Calculate the tension between Block 108 and Block 107.
Since the net force is equal to the tension force between Block 108 and Block 107, we can use Newton's second law of motion to calculate the tension. The formula is:

Net force = Mass * Acceleration
Tension = Net force

Part B: Tension between Block 54 and Block 55
To find the tension in the string between Block 54 and Block 55, we can apply the same approach as in Part A.

Step 1: Determine the net force on Block 54.
The net force acting on Block 54 is the difference between the tension force of the string between Block 54 and Block 53 and the tension force of the string between Block 54 and Block 55.

Step 2: Determine the acceleration of the system.
Since the blocks are connected by massless strings, the tension forces on either side of Block 54 are equal. Therefore, the net force acting on Block 54 is 0 N, and the acceleration of the system is 0 m/s².

Step 3: Calculate the tension between Block 54 and Block 55.
Since the net force is 0 N, the tension between Block 54 and Block 55 is also 0 N.

In summary, for Part A, the tension in the string connecting Block 108 to Block 107 is equal to the applied force, which is 108 N. For Part B, the tension in the string connecting Block 54 to Block 55 is 0 N.

well, if the blocks are moving, then a= F/Masstotal=1/eachmass

tension=ma= 107*eachmass*1/eachmass=107N

b.tension= massbehind*a= 54N

Hey Lijia. I'm well aware that you most likely will never see this, but you're a moron.