Finding tension on multiple points.

AI Thread Summary
The discussion focuses on analyzing the tension in a steel cable dragging a block across a frictionless surface. A 100 N force is applied, resulting in the block moving 4.0 m in 2.0 s, prompting the need to graph tension along the cable. It is noted that tension is typically constant in a frictionless scenario, yet discrepancies arise in calculations. To resolve this, participants suggest calculating the block's acceleration and the force required to move it, which is less than 100 N. The difference between the applied force and the force needed for the block indicates the force required to move the cable, allowing for further analysis of the system.
squalami
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1. A 1.0-m-long massive steel cable drags a 20 kg block across a horizontal, frictionless surface. A 100 N force applied to the cable causes the block to travel 4.0 m in 2.0 s.Graph the tension in the cable as a function of position along the cable, starting at the point where the cable is attached to the block.

2. F = T = ma

3. i was taught that if you have a frictionless surface that the tension in a rope will be the same throughout the rope but i keep getting a wrong answer. . .
 
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Hi squalami welcome to PF.
In the problem, the displacement and time is given. Find acceleration a of the block and the cable.
Find the force F required to move the block using m*a. This force is less than 100 N.
Find the difference (100 - F). That is force required to move the cable. From that find the mass of the cable. Then proceed like connected mass type problem.
 

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