Launge a spring on a inclinded plane in a bucket?

[ajkly]

launge a spring on a inclinded plane in a bucket??

Homework Statement

ok I am ask to find the length i have to pull on the spring hooked to the edge of a inclinded plane and release it to shoot the spring into the bucket. anyoen have any idea how to do it??

Homework Equations

i had worked out some of the possible solusions..
range formula = ((v^2)/fg)sin2(theata)
rearragne for V
V= root [ (R)(fg)/sin2theata ] - eq'n 1
Fnet = Fa - (Ff + fg sin theata), inclinded plane equations
Fa = Ee (elastic energy of the spring)
Ee = 1/2 K X^2 , K= spring constant, X = the length which the spring is being stretched and its the thign i want to find
sub Ee = Fa = 1/2 Kx^2 into Fnet equation
Fnet = 1/2 kx^2 -fg (fg cos theata mUK (friction coeificent) + fg sin theata)
EK = 1/2 m v^2
EK = F d cos theata
equate them together
1/2 m v^2 = F d cos theata , assuming d = length of inclinded plane
than sub in equation V and equation Fnet as F into 1/2 m v^2 = F d cos theata then
rearrange for X which is the length which i have to pull to fire the spring into the bucket

The Attempt at a Solution

i kinda type attempt at solution up there ...sry..

so yea after i rearrange for x and put in possible values for all variables...the answer doesn't seem to be ... realistic enough to believe...coz i can't do the lab now at home...coz i don't have the materals...but my lab is tmr... anyone got any idea??
thx =]

 

[anathema]

Thank you for your post. I would like to offer some suggestions on how to approach this problem.

Firstly, it is important to clearly define the variables and parameters involved in the problem. From your post, it seems like the incline angle (theta), the spring constant (K), and the coefficient of friction (mu) are known. However, it is not clear what the other variables represent. It would be helpful to define them and their units.

Secondly, it might be useful to draw a diagram or sketch of the setup to visualize the problem better. This will also help in identifying any assumptions made and potential sources of error.

Next, I would suggest breaking down the problem into smaller, more manageable parts. For example, you could first determine the initial velocity (V) of the spring after it is released from the incline. This could be done by considering the forces acting on the spring and using the equations of motion.

Once you have the initial velocity, you can then calculate the maximum height (H) that the spring will reach. This can be done by using the conservation of energy principle and equating the initial kinetic energy of the spring to its potential energy at the maximum height.

Finally, you can calculate the length (X) that the spring needs to be pulled to achieve the desired initial velocity. This can be done by using the equations you have mentioned in your post and solving for X.

I hope these suggestions will help you in solving the problem. It is always important to carefully analyze the problem, define the variables, and break it down into smaller parts to find the solution. Good luck with your lab tomorrow!