Force needed to apply for acceleration 2ms^2

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SUMMARY

The discussion centers on calculating the force required to accelerate a 5 kg bucket filled with wet cement at 2 m/s² using a smooth pulley system. The equation F=ma is applied, resulting in a force of 10 N for the acceleration. However, the tension in the rope must also account for the weight of the bucket, leading to a total force of 60 N when considering the gravitational force acting on the mass. The key takeaway is that the tension in the rope must overcome both the acceleration and the weight of the bucket.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Basic knowledge of forces and tension in pulley systems
  • Familiarity with gravitational force calculations
  • Concept of resultant forces in physics
NEXT STEPS
  • Study the effects of friction in pulley systems
  • Learn about different types of pulleys and their mechanical advantages
  • Explore advanced applications of Newton's laws in real-world scenarios
  • Investigate the role of mass and acceleration in dynamic systems
USEFUL FOR

This discussion is beneficial for physics students, construction workers involved in material handling, and anyone interested in understanding the mechanics of pulleys and force calculations.

VanzLee
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1. The problem statement, all variables and giv
A construction worker is pulling a bucket filled with wet cement using a smooth pulley. The total mass of the bucket is 5kg.

Homework Equations



F=ma

The Attempt at a Solution


F=5*2ms^2
= 10 N

The answer is 60N
 
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Right so you have the tension acting in one direction and the weight of the mass in the other. The resultant of those two is 10 N. So what is the tension in the rope? (this is the force they are asking for).
 

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