Linear Momentum Block and Spring Problem

AI Thread Summary
A 0.500-kg block attached to a spring with a force constant of 23.0 N/m is struck by a 5.60×10^-2 kg wad of putty moving at 2.00 m/s, causing the two to stick together. The momentum conservation principle is applied to find the final velocity after the collision. Initial kinetic energy calculations for the putty are made, but the attempt to equate this to potential energy in the spring leads to confusion. The user initially struggles with the problem but eventually finds the correct solution. The discussion highlights key concepts of momentum and energy conservation in a spring-block system.
shaggyace
Messages
11
Reaction score
0

Homework Statement



A 0.500-kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 23.0 N/m. The block rests on a frictionless surface. A 5.60×10^-2 kg wad of putty is thrown horizontally at the block, hitting it with a speed of 2.00 m/s and sticking.

Homework Equations



p=mv

KE=0.5 mv^2

PE=0.5 kx^2

vf= (m1V1,i + m2v2,i)/m1+m2


The Attempt at a Solution



I tried finding the kinetic energy of the wad of putty as it hit the spring and I got 0.112. I then used this as the PE of the spring and solved for x in the PE equation getting 0.099 m. I know that this is wrong however. I just don't know how to attack this problem.
 
Physics news on Phys.org
Never mind everyone , I figured it out :)
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Back
Top