Spring compression -- Ball colliding with a spring-mounted platform

AI Thread Summary
The discussion focuses on the complexities of modeling the collision between a ball and a spring-mounted platform using energy equations. The user attempts to establish a system of equations that equates the spring's potential energy with gravitational potential and kinetic energy, but encounters difficulties leading to a quadratic equation that does not yield expected results. There is also a request for clarification on the implications of an elastic collision between the ball and the platform. Additionally, the user seeks insight into how the value of the platform's velocity (vp) was determined. The conversation highlights the challenges in applying physics principles to this specific scenario.
dge
Messages
4
Reaction score
2
Homework Statement
What is the lowest position attained by the platform after it collides elastically with a ball.
Relevant Equations
1/2mv^2=KE
1/2kx^2=Us
mgx=Ug
1639430782496.png

I've tried establishing a systems of equations with -(1/2)kx^2+mpgx+(1/2)mpvp^2=0, but this leads to an annoying quadratic that when solved does not give one of the listed answers. My thought was that the spring's potential energy is going to be equal to the gravitational potential energy and kinetic energy.
 
Last edited:
Physics news on Phys.org
dge said:
I've tried establishing a systems of equations
Don't let us guess. Show your work !
Also: what does it mean that the ball collides elastically with the platform ?

##\ ##
 
dge said:
-(1/2)kx^2+mpgx+(1/2)mpvp^2=0
How did you get the value of ##v_p##?
 
Thread 'Minimum mass of a block'
Here we know that if block B is going to move up or just be at the verge of moving up ##Mg \sin \theta ## will act downwards and maximum static friction will act downwards ## \mu Mg \cos \theta ## Now what im confused by is how will we know " how quickly" block B reaches its maximum static friction value without any numbers, the suggested solution says that when block A is at its maximum extension, then block B will start to move up but with a certain set of values couldn't block A reach...
TL;DR Summary: Find Electric field due to charges between 2 parallel infinite planes using Gauss law at any point Here's the diagram. We have a uniform p (rho) density of charges between 2 infinite planes in the cartesian coordinates system. I used a cube of thickness a that spans from z=-a/2 to z=a/2 as a Gaussian surface, each side of the cube has area A. I know that the field depends only on z since there is translational invariance in x and y directions because the planes are...
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...
Back
Top