Tension of a string attached to an instrument inside rocket

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SUMMARY

The discussion centers on calculating the tension in a wire supporting a 6.00-kg instrument inside a rocket that is decelerating at 2.40 m/s² during a vertical landing. Participants clarify that the forces acting on the instrument include the gravitational force and the tension in the wire, leading to the equation T - mg = ma, where T is the tension, m is the mass (6.00 kg), and g is the acceleration due to gravity (9.8 m/s²). The correct approach involves recognizing that the net force acting on the instrument is influenced by both gravity and the rocket's deceleration.

PREREQUISITES
  • Understanding of Newton's Second Law (ΣF = ma)
  • Knowledge of gravitational force calculations (F = mg)
  • Familiarity with free body diagrams
  • Basic algebra skills for solving equations
NEXT STEPS
  • Review the concept of free body diagrams in physics
  • Study the implications of non-inertial reference frames
  • Practice solving problems involving tension in strings and cables
  • Explore advanced applications of Newton's laws in varying acceleration scenarios
USEFUL FOR

Students preparing for physics exams, educators teaching mechanics, and anyone interested in understanding forces in non-inertial frames.

  • #31
physicsquestion said:
So the total force exerted on the instrument is T, and then mg, the force of gravity. ΣF=T+mg
Good. Now fill in the other side of the ΣF=ma equation.
 
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  • #32
Wait...

I got it

So I put T-mg=ma, or T-(6)(9.8)=(6)(2.4) and then I got my answer.

Yay ^^
 
  • #33
physicsquestion said:
Wait...

I got it

So I put T-mg=ma, or T-(6)(9.8)=(6)(2.4) and then I got my answer.

Yay ^^
Good. It is now also well with your algebra.
 

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