Can you solve for tension using these formulas?

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SUMMARY

The discussion focuses on calculating the tension in a string when a 2.91 kg object is swung in a vertical circular path with a radius of 3.94 m and a speed of 7 m/s at the top of the circle. The relevant formulas include F=ma for net force, Fc=mv²/r for centripetal force, and Fg=mg for gravitational force. By applying these formulas, the tension in the string can be determined by considering the forces acting on the object at the top of the circle.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Familiarity with centripetal force calculations (Fc=mv²/r)
  • Knowledge of gravitational force (Fg=mg)
  • Basic principles of circular motion
NEXT STEPS
  • Calculate the net force acting on the object at the top of the circle.
  • Determine the gravitational force acting on the object using Fg=mg.
  • Apply the centripetal force formula to find the required tension in the string.
  • Explore variations in tension at different points in the circular path.
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding forces in circular motion will benefit from this discussion.

electronicxco
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A 2.91 kg object is swung in a vertical circular
path on a string 3.94 m long.
The acceleration of gravity is 9.8 m/s2 .
If the speed at the top of the circle is 7 m/s,
what is the tension in the string when the
object is at the top of the circle?

can you show the formulas needed to get to the answer? Thanks a lot
 
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Here they are:

F=ma
Fc=mv^2/r
Fg=mg
 

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