A 24.5 kg child sits on a bathroom scale

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SUMMARY

The discussion revolves around calculating forces and tensions in various scenarios involving a child on a swing and balls in circular motion. When the 24.5 kg child sits on the bathroom scale at rest, the scale reads 24.5 kg. As the child swings to the lowest point, the scale reads a higher value due to centripetal force. The tension in the string for the 0.35 kg ball swinging in a horizontal circle is determined using centripetal force equations. Additionally, the speed of a 0.45 kg ball with a centripetal acceleration of 3.1 m/s² is calculated, and the tension for a 0.25 kg ball at its lowest point is derived from its speed of 6.4 m/s.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal force and acceleration concepts
  • Knowledge of tension in strings and pendulum motion
  • Basic algebra for solving equations related to forces
NEXT STEPS
  • Study the principles of centripetal force in circular motion
  • Learn how to calculate tension in strings during pendulum motion
  • Explore the effects of gravitational force on objects in motion
  • Investigate the relationship between speed, mass, and tension in swinging objects
USEFUL FOR

Physics students, educators, and anyone interested in understanding dynamics and forces in motion, particularly in pendulum and circular motion scenarios.

Kristi Ronning
Please help me with the following 4 questions if you can (I want to double check my answers)...
1. A 24.5 kg child sits on a bathroom scale which is placed on the seat of a swing. What does the scale read when the swing is at rest? The child begins to swing back and forth until she reaches a maximum height of .85 meters (measured vertically) above the low point. What will the scale read as she passes the low point? The swing rope is 3 meters long.
2. A ball of mass .35 kg is swung at the end of a 2.4 m string such that the plane of its path is horizontal and the cirle it moves in has a radius of 1.4 m. Find the tension in the string and the angle which the string makes with the vertical.
3. A ball of mass .45 is attached to a rope and swung in a circle of radius 1.8 m with a centripetal acceleration of 3.1 m/s^2. What is the speed of the ball?
4. A ball of mass .25 kg is attached to a string .75 m long. The ball is swung in a pendulum-type motion such that it has a speed of 6.4 m/s when it reaches the lowest point in its path. What is the corresponding tension in the string?
 
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Please show us your work, and then we'll show you what's wrong (if anything). Or perhaps you could give us your answers at least and maybe someone nice will check them for you.
 

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