Finding tension on multiple points.

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SUMMARY

The discussion focuses on calculating the tension in a 1.0-m-long steel cable dragging a 20 kg block across a frictionless surface under a 100 N force. Participants clarify that while tension is typically uniform in a frictionless scenario, the specific conditions of this problem require calculating the block's acceleration and the force needed to move both the block and the cable. The correct approach involves determining the net force acting on the block and the cable system, leading to a nuanced understanding of tension distribution along the cable.

PREREQUISITES
  • Newton's Second Law (F = ma)
  • Understanding of tension in cables
  • Basic kinematics (displacement, time, acceleration)
  • Concept of frictionless surfaces in physics
NEXT STEPS
  • Calculate acceleration using kinematic equations for the block
  • Determine the net force required to move the block and cable system
  • Explore the concept of connected mass problems in physics
  • Study tension variations in non-uniform systems
USEFUL FOR

Physics students, educators, and anyone interested in understanding dynamics involving tension in cables and connected systems.

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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