What is the conservation of energy problem involving h and v?

Click For Summary
SUMMARY

The discussion revolves around solving a conservation of energy problem involving a bow and arrow, specifically focusing on the relationship between potential energy stored in a spring and the kinetic energy of the arrow. Key concepts include Hooke's Law, which relates the force exerted by the bowstring to the draw displacement, and the equations for gravitational potential energy (mgh) and kinetic energy (1/2 mv²). The participants emphasize the importance of understanding the spring constant and the work done on the arrow during its release to determine its velocity at maximum height.

PREREQUISITES
  • Understanding of Hooke's Law and spring constant
  • Familiarity with gravitational potential energy (mgh)
  • Knowledge of kinetic energy equations (1/2 mv²)
  • Basic principles of work and energy transfer
NEXT STEPS
  • Study the derivation and application of Hooke's Law in spring mechanics
  • Explore the relationship between work done and energy conservation in mechanical systems
  • Learn how to calculate the maximum height of a projectile using energy conservation principles
  • Investigate the dynamics of bow and arrow mechanics, including force and motion analysis
USEFUL FOR

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

Karhitect
Messages
10
Reaction score
0

Homework Statement


i attached the problem since its easier.


Homework Equations



im not sure. i know the equation for h has to be included. but I am not sure what other equations must be used.

The Attempt at a Solution



I honestly don't know how to begin. Any kind of help would be greatly appreciated!
 

Attachments

Physics news on Phys.org
i didnt think i had to use the potential spring energy equation because i need to find the velocity for when it comes back down...im really bad at this lol sorry
 
Karhitect said:

Homework Statement


i attached the problem since its easier.


Homework Equations



im not sure. i know the equation for h has to be included. but I am not sure what other equations must be used.

The Attempt at a Solution



I honestly don't know how to begin. Any kind of help would be greatly appreciated!

The terminology in the problem statement is confusing. When the problem refers to "strength", what it is really referring to is stiffness or spring constant. The term strength is usually reserved for when something breaks. You also apparently need to assume that the force the bow string exerts on the arrow is directly proportional to the draw displacement, such that when the draw displacement is zero, the force is zero, and when the displacement is d, the force is kd. So..., during the time that the arrow is in contact with the bow, what is the average force exerted on it by the bow? How much work is done on the arrow by the bow during the contact period? What does this translate into in terms of gravitational potential energy when the arrow reaches its maximum height. What is the upward velocity of the arrow when it reaches its maximum height?
 
would the equation be 1/2mv2=mgh

then replace h with the equation for h and isolate v??

im just not understanding this problem.
 
Last edited:

Similar threads

Conservation of Momentum Problem - Mechanical and Kinetic Energies
  • · Replies 2 ·
Replies
2
Views
1K
A problem about the laws of conservation: Bullet colliding with a wood block
  • · Replies 28 ·
Replies
28
Views
2K
Confused about a conservation of energy problem
  • · Replies 4 ·
Replies
4
Views
2K
Using conservation of energy and momentum in projectile motion
  • · Replies 18 ·
Replies
18
Views
2K
Calculating Flywheel Inertia Using Conservation of Energy Equations?
  • · Replies 14 ·
Replies
14
Views
2K
Is energy conserved is this problem?
  • · Replies 44 ·
2
Replies
44
Views
3K
Conservation of Energy in Trampoline Bounce
  • · Replies 20 ·
Replies
20
Views
3K
Conservation of Mechanical Energy - Which Equation To Use?
  • · Replies 9 ·
Replies
9
Views
1K
Conservation of Energy when lifting a box up off the floor
  • · Replies 5 ·
Replies
5
Views
2K
Discovering Vector Direction in Conservation of Energy Problems
  • · Replies 15 ·
Replies
15
Views
2K