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?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section: Chapter Questions

Problem 70A

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