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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