What Is the Velocity of a 16kg Collar Subjected to a 300N Force?

Click For Summary
SUMMARY

The discussion focuses on calculating the velocity of a 16kg collar subjected to a constant force of 300N as it moves from point A to point B. The relevant equation used is the conservation of energy, expressed as (\frac{1}{2}mv1^2) + \sumU1-2 = (\frac{1}{2}mv2^2). The solution involves determining the work done by the force and the change in potential energy as the collar ascends. Key insights include the need to account for the work done by the force and the potential energy change to find the kinetic energy at point B.

PREREQUISITES
  • Understanding of Newton's Second Law and force calculations
  • Familiarity with the conservation of energy principle
  • Knowledge of potential and kinetic energy equations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of conservation of energy in mechanical systems
  • Learn how to calculate work done by a force in physics
  • Explore examples of energy transformations in pulley systems
  • Review problem-solving techniques for dynamics involving forces and motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of energy conservation in real-world applications.

aaronfue
Messages
118
Reaction score
0

Homework Statement



If the cord is subjected to a constant force of F= 300 and the 16kg smooth collar starts from rest at A, determine the velocity of the collar when it reaches point B. Neglect the size of the pulley.


Homework Equations



([itex]\frac{1}{2}[/itex]mv12) + [itex]\sum[/itex]U1-2 = ([itex]\frac{1}{2}[/itex]mv22)


The Attempt at a Solution



I'm stuck and don't know where to start. Initially I was finding the acceleration given the force and mass, but I'm still having trouble. I doubt that is what I need to start.
 

Attachments

  • Hibbler_ch14_p14.jpg
    Hibbler_ch14_p14.jpg
    7.4 KB · Views: 1,268
Physics news on Phys.org
Your 'relevant equation' is fine but v1 = 0 here. Also, there is another term you need to add: total energy at A + work done by F = total energy at B.

How far does the cord get pulled by the 300N force along the indicated direction? What is the work done thereby?


How much is the potential energy of the collar get raised when it reaches point B?

Use conservation of energy to determine the K.E. at point B.
 

Similar threads

Replies
2
Views
7K
Replies
25
Views
4K
Replies
4
Views
7K
Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K