How Can I Solve These Physics Problems on Circular Motion and Weightlessness?

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SUMMARY

This discussion focuses on solving physics problems related to circular motion and weightlessness. The user presents three specific questions involving calculations for a carnival ride and a plane in vertical circular motion. Key calculations include determining the speed of a person on a ride, the net force exerted by the cage, and the conditions for experiencing weightlessness in a plane. The user seeks clarification on their answers and the underlying principles of these physics concepts.

PREREQUISITES
  • Understanding of circular motion principles
  • Knowledge of Newton's laws of motion
  • Familiarity with basic physics formulas for force and velocity
  • Ability to interpret graphs in a physics context
NEXT STEPS
  • Study the equations of motion for circular paths
  • Learn about centripetal force and its applications
  • Explore the concept of apparent weight in non-inertial frames
  • Review graph analysis techniques in physics experiments
USEFUL FOR

High school students studying physics, educators seeking to assist students with circular motion concepts, and anyone interested in understanding the dynamics of forces in rotating systems.

the_awesome
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In school, 16 and i just need some help with a few physics questions.
my physics teacher is away so I am asking here, a few of the questions i know the answers to but i do need help, and yes i know these may be easier questions than normal.

1.
A carnival machine uses two cages at the rotating arms to ensure that during the ride, the people in the cages are always in a vertical standing position. each arm is 22m long and rotates once every 9.4 seconds in a vertical circle. if the people have a mass of 50kg find:
A) person's speed
b) the net force that the cage exerts on the persons feet at the top of the circle
c) the total force the cage exerts on the person at the bottom of the circle.
These are my answers, and i can't remember how i got them
a) 14.7m/s
b) -433 Newtons
c) 2506 Newtons

2.
ok i had to plot a graph on a rubber stopper circuler motion experiment i did.
the graph was force(N) versus velocity(squared)
but it asks
a) find the gradient of the graph and explain the units it has
b) what the gradient represents
NOTE: i have found the gradient so i don't understand, lol

3.
A plane flies in a vertical circle of radius 2500m. passangers in the plane feel weightlessness when the plane is at the top of the circle. (assume g=9.8m/s)
a) what is the speed of the plane in order to produce the observed effect?
b) does it matter how heavy the passangers are?



Okay these i reckon are prolly the easier questions i got, but after 4 hours of doing work my brain is a bit hurting so if anyone could help me out please? there's another harder question but it comes with a diagram so i can't ask it on here
 
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