How Do You Solve These Physics Problems Involving Tension, Friction, and Motion?

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SUMMARY

This discussion focuses on solving physics problems involving tension, friction, and motion. The first problem calculates the tension in the ropes of a hammock supporting a 52.0 kg person at a 14.9° angle. The second problem involves determining the force of friction on a 52.0 N backpack attached to a spring with a force constant of 155 N/m, stretched 1.70 cm. The third problem examines a box on a conveyor belt moving at 1.38 m/s, requiring calculations for the time it takes to stop sliding and the distance moved.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of tension and friction forces
  • Familiarity with Hooke's Law (F = -kx)
  • Ability to analyze motion on inclined surfaces
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  • Study the principles of tension in static and dynamic systems
  • Learn about calculating frictional forces in different scenarios
  • Explore kinematic equations for motion analysis
  • Investigate the effects of angles on force components
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Students studying physics, educators teaching mechanics, and anyone interested in applying concepts of tension, friction, and motion in practical scenarios.

bknice02
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1. A 52.0 kg person takes a nap in a (lightweight) backyard hammock. Both ropes supporting the hammock are at an angle of 14.9° above the horizontal. Find the tension in the ropes.

2. A backpack full of books weighing 52.0 N rests on a table in a physics laboratory classroom. A spring with a force constant of 155 N/m is attached to the backpack and pulled horizontally. (a) If the spring is pulled until it stretches 1.70 cm and the pack remains at rest, what is the force of friction exerted on the backpack by the table?

3. A box is placed on a conveyor belt that moves with a constant speed of 1.38 m/s. The coefficient of kinetic friction between the box and the belt is 0.920. (a) How long does it take before the box stops sliding relative to the belt? (in seconds) (b) How far has the box moved in this time? (in meters)


I don't expect to be given the answers, I just need to be pointed in the right direction
 
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Look at the resultant Forces

F=-kx

not much else I can help you with without you showing what you've done. then we can point out any problems in what you're doing.
 

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