Circular motion, unbalanced-balanced forces

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SUMMARY

This discussion covers various physics problems related to circular motion and forces, specifically focusing on friction, net forces, and acceleration. Key problems include calculating the frictional force on a box with a mass of 5.8 kg under an 8.2 N force, determining the coefficient of friction for a 41 kg table under a 215 N force at a 39-degree angle, and analyzing the net force required for a truck weighing 1085 kg to stop from 27.0 m/s over 57.7 m. The discussion emphasizes the importance of showing work and using appropriate equations for problem-solving.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of friction coefficients and their calculations
  • Familiarity with kinematic equations for motion analysis
  • Basic vector addition for force calculations
NEXT STEPS
  • Study the concept of friction and how to calculate frictional forces in different scenarios
  • Learn how to apply Newton's second law to determine net forces in various contexts
  • Explore kinematic equations to analyze motion on inclined planes
  • Investigate the principles of circular motion and the forces acting on objects in curved paths
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of forces and motion in real-world applications.

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Question 1
A box of mass 5.8 kg is pulled to the right with a horizontal force of 8.2 N. If the box moves to the right with constant velocity of 2.66 m/s, what is the frictional force acting on the box?

Question 3
A person pulls on a 41 kg table with a 215 N force acting at an angle of 39 degrees above the horizon. The desk does not budge. What is the coefficient of friction, between the table and the floor?

Question 5
The driver of a 1085 kg truck traveling 27.0 m/s, North on I-77, has to make a sudden stop. If it requires a distance of 57.7 m for the truck to stop, what is the net force on the truck?

Question 7
A 14 kg box is placed at the top of a 5.1 m long, frictionless ramp inclined at an angle of 35 degrees. How long does it take the box to reach the bottom of the ramp?

Question 9
A 786 kg car travels from Boone to Blowing Rock along US 321. What net force is required to keep the car traveling at a constant speed of 29.1 mph (13 m/s) around a curve of radius 33.5 m?

Question 11
A 14 kg box is placed at the top of a 4.9 m long, ramp inclined at an angle of 35 degrees (with the horizon). However, the ramp is covered with sand so the coefficient of friction is now 0.17. How much time does it take the box to reach the bottom of the ramp?

Question 13
The following forces act on a hockey puck sitting on a frictionless surface: F1 = 10.3 N at 15 degrees; F2 = 26.3 N at 125 degrees; and F3 = 36.4 N at 235 degrees. (All the forces are in the plane of the ice.) What is the net force on the puck?

Question 15
A Modified Atwood’s Machine (the pulley, 2 mass system used in class and in the Modified Atwood physlet) has a 10. N cart on a frictionless, horizontal track with a 10. N hanging weight attached to string connecting the two weights. A second track is set up with the hanging weight replaced by a person who can maintain a 10. N pull on the string (as measured with a force probe). Which set-up has the greater acceleration?
 
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