A toy block of mass m₁ lies on a frictionless surface and is connected to an ideal spring with spring constant k. The spring is compressed a distance d from its natural rest length at the origin and is released from rest at time t= 0. A second block of mass m₂ lies at rest at the origin. Write down the differential equation describing the motion of block m₁ before the blocks collide. At what time will the collision take place? If the blocks stick together after the collision, what is the velocity of the combined system as a function of time?

A toy block of mass m₁ lies on a frictionless surface and is connected to an ideal spring with spring constant k. The spring is compressed a distance d from its natural rest length at the origin and is released from rest at time t= 0. A second block of mass m₂ lies at rest at the origin. Write down the differential equation describing the motion of block m₁ before the blocks collide. At what time will the collision take place? If the blocks stick together after the collision, what is the velocity of the combined system as a function of time?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A toy block of mass m₁ lies on a frictionless surface and is connected to
an ideal spring with spring constant k. The spring is compressed a distance d from its
natural rest length at the origin and is released from rest at time t = 0. A second block
of mass m₂ lies at rest at the origin. Write down the differential equation describing the
motion of block m₁ before the blocks collide. At what time will the collision take place?
If the blocks stick together after the collision, what is the velocity of the combined
system as a function of time?
Law
Application
helle
m1
-d
m2
0
X

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