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

AI Thread Summary
The discussion revolves around a conservation of energy problem involving a bow and arrow, focusing on the relationship between potential energy in the spring and the gravitational potential energy of the arrow. Participants express confusion about the relevant equations, particularly how to incorporate the spring constant and the energy stored in the spring. There is a suggestion to use Hooke's Law and to calculate the average force exerted on the arrow during its release. The conversation highlights the need to relate the work done on the arrow to its maximum height and velocity. Overall, the participants seek clarity on how to approach the problem and apply the conservation of energy principles effectively.
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:

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Conservation of Momentum Problem - Mechanical and Kinetic Energies
Replies
2
Views
913
A problem about the laws of conservation: Bullet colliding with a wood block
Replies
28
Views
1K
Confused about a conservation of energy problem
Replies
4
Views
2K
Using conservation of energy and momentum in projectile motion
Replies
18
Views
1K
Calculating Flywheel Inertia Using Conservation of Energy Equations?
Replies
14
Views
2K
Is energy conserved is this problem?
Replies
44
Views
3K
Conservation of Energy in Trampoline Bounce
Replies
20
Views
2K
Conservation of Mechanical Energy - Which Equation To Use?
Replies
9
Views
1K
Conservation of Energy when lifting a box up off the floor
Replies
5
Views
2K
Discovering Vector Direction in Conservation of Energy Problems
Replies
15
Views
2K

Hot Threads

Recent Insights

Back
Top