Simple Mass-Spring System Problem

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Simple Mass-Spring System Problem!!

A mass M slides across a frictionless horizontal table with constant speed V_0_. It collides with a spring of spring constant k, compressing it. The mass-spring system then rebounds. Take the position of the mass when it first hits the spring to be x=0.

a) Suppose that the mass comes to a momentary stop after compressing the spring a distance L. What is the spring constant k in terms of V_0_, M, and L?

b) The spring reexpands, pushing the mass back. What is the speed of the mass M when it passes through x=0?



Homework Equations


F_spring_ = k*d;
E_stored in spring_ = 1/2(k*d^2^)


The Attempt at a Solution



a) E_i_ = E_f_
1/2mv^2^ = 1/2kx^2;
mv^2^ = kL^2
(mV_0_^2)/L^2 = k;

b) no idea

Homework Statement





Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
dx
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Do the same thing you did in part (a). What is the potential energy of the spring when the mass is at x = 0?
 

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