What is the solution to question 2 on energy conservation problems homework?

Click For Summary
SUMMARY

The solution to question 2 on energy conservation problems involves applying the energy conservation rule to determine the speed as √2gh. The problem requires calculating the angle after passing through point B, which is located at (2H, H). By utilizing the parabolic equation y = ax², one can compute the value of 'a' and subsequently find the slope at point B. This approach effectively combines energy conservation principles with quadratic equations to solve the problem.

PREREQUISITES
  • Understanding of energy conservation principles in physics
  • Familiarity with parabolic equations, specifically y = ax²
  • Basic knowledge of calculus for determining slopes
  • Ability to interpret and analyze graphical representations of functions
NEXT STEPS
  • Study the derivation of the energy conservation equation in physics
  • Learn how to derive the slope of a parabola at a given point
  • Explore applications of quadratic equations in physics problems
  • Practice solving projectile motion problems using energy conservation
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators looking for effective teaching strategies in problem-solving.

Mzaa
Messages
4
Reaction score
1

Homework Statement


https://www.img.in.th/image/VNYMHY
https://www.img.in.th/image/VNYKDv
This is my homework,but I have a problems with question no.2

Homework Equations

The Attempt at a Solution


I tried to used energy conservation rule to get that the speed is √2gh ,but I don't know how to know the angle after that passing through.
 
Physics news on Phys.org
The parabola has the form ## y=ax^2 ##. They give you that the point B is at ## (2H,H) ##. That will allow you to compute ## a ## and thereby get the slope at ## B ##.
 
  • Like
Likes   Reactions: Mzaa
Thank you so much! I really forget to use parabola equation.
This is really helpful.
 
  • Like
Likes   Reactions: Charles Link

Similar threads

Replies
3
Views
2K
  • · Replies 46 ·
2
Replies
46
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 12 ·
Replies
12
Views
1K
Replies
2
Views
1K
Replies
41
Views
4K
Replies
28
Views
2K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 44 ·
2
Replies
44
Views
4K