Analyzing Forces in Circular Motion: Ramp and Ball System

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SUMMARY

The discussion focuses on analyzing the forces acting on a ball rolling down a quarter-circle ramp with a radius of 0.5m and a weight of 25g. The key equations mentioned include gravitational potential energy (mgh), kinetic energy (1/2 mv²), and centripetal force (mv²/R). Participants emphasized the importance of Newton's Laws, particularly the third law, in understanding the interaction between the ball and the ramp. The forces exerted by the ramp on the ball and vice versa are central to solving the problem, with clarification needed on the distinction between centripetal force and gravitational force.

PREREQUISITES
  • Understanding of gravitational potential energy (mgh)
  • Knowledge of kinetic energy (1/2 mv²)
  • Familiarity with centripetal force (mv²/R)
  • Basic principles of Newton's Laws of Motion
NEXT STEPS
  • Calculate the gravitational potential energy at the top of the ramp.
  • Determine the velocity of the ball at the bottom of the ramp using energy conservation.
  • Apply Newton's second law to find the net force acting on the ball.
  • Explore the relationship between centripetal force and the normal force exerted by the ramp.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and forces in circular motion, as well as educators seeking to enhance their understanding of energy conservation and force interactions.

tbear
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Homework Statement



A ball rolls down a ramp which forms a quarter circle of radius 0.5m. The ball weighs 25g. The bottom of the ramp is 1.5m above the floor. Assume no friction between the ball and the ramp. Assume no air resistance.

  • what is the force exerted by the ramp on the ball?
  • whatis the force exerted by the ball on the ramp?

Homework Equations

The Attempt at a Solution

 
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Welcome to the forum. Forum rules require you to make an attempt at a solution. That's why there is a part 2 and 3 on the template. Doesn't matter if you get stuck just give it a go first.
 
I used Fnet = Fcircular+ Fg
 
tbear said:
I used Fnet = Fcircular+ Fg
That force, in which body is acting? Are they components or your equatin is a vector equation. Try to explain your approach in words so we can help you.
 
tbear said:

Homework Statement



A ball rolls down a ramp which forms a quarter circle of radius 0.5m. The ball weighs 25g. The bottom of the ramp is 1.5m above the floor. Assume no friction between the ball and the ramp. Assume no air resistance.

  • what is the force exerted by the ramp on the ball?
  • whatis the force exerted by the ball on the ramp?

Homework Equations

The Attempt at a Solution

Where is your attempted solution?
I would be considering Gravitational Potential Energy (mgh). Kinetic Energy (1/2.m.v^2) and Centripetal Force (m.v^2 / R) at various places along the ramp.
Newton's Laws - especially the 3rd - could be useful at times too.
 
tbear said:
I used Fnet = Fcircular+ Fg
What do you mean by Fcircular? If you mean centripetal force, that is not an applied force. It is the radial component of the resultant force, i.e. the component of the resultant force that is normal to the velocity. So you would not add it to Fg.
 

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