Four blocks connected by two strings are pulled to the right with a force of 2000 N. The leftmost block has a mass of [tex]x[/tex] kg, the second block has a mass of 124 kg, the third block has a mass of 3 kg, and the rightmost block has a mass of 100 kg. The tension of the connector between the leftmost block and the second block is 20 N. What is the mass [tex]x[/tex]?

The mass of the first block, 'x' is calculated using the laws of motion (specifically Newton's second law) and the principles of tension applied to the overall system.

Explanation:

This question is about the physics concept of motion and equilibrium.

Given that the four blocks are being pulled to the right with a force of 2000N, we need to consider both the forces acting on the blocks and Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration.

In this case, the blocks are accelerated to the right, and the total force is the summation of the tension in the strings and the force used to pull the blocks.

For the first block, since it only experiences a 20N tension, it yields x = F / a = 20N / (2000N/total mass) .

The total mass would be the mass of all the blocks and as given, it is (x+124+3+100) kg.

Solving for x, we get x = 3.74 kg

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