A 1.0-kg block (m1) is attached to the end of a 2.5-m string to form a pendulum. This pendulum is released from rest with an angle θ = 60° to the vertical as shown in the figure. At the lowest point in its swing when it is moving horizontally, the block collides elastically with another block of mass m2 = 2.0-kg initially at rest on a horizontal surface which is frictionless except for a length of 1.5 m, where the coefficient of kinetic friction is 0.25 (see the figure below). After the collision the second block move towards the spring of force constant k = 10000 N/m which is fixed at one end of the surface (see the figure below). Answer the following questions. (a) Calculate the velocity of m1 just before the collision. (b) Calculate the velocities of m1 and m2 just after the collision. (c) Calculate the maximum height to which m1 rises after the collision.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A 1.0-kg block (m1) is attached to the end of a 2.5-m string to form a pendulum. This pendulum is released from rest with an angle θ = 60° to the vertical as shown in the figure. At the lowest point in its swing when it is moving horizontally, the block collides elastically with another block of mass m2 = 2.0-kg initially at rest on a horizontal surface which is frictionless except for a length of 1.5 m, where the coefficient of kinetic friction is 0.25 (see the figure below). After the collision the second block move towards the spring of force constant k = 10000 N/m which is fixed at one end of the surface (see the figure below). Answer the following questions.

  

(a) Calculate the velocity of m1 just before the collision.

(b) Calculate the velocities of m1 and m2 just after the collision.

(c) Calculate the maximum height to which m1 rises after the collision.

(d) Calculate the maximum compression, xc, of the spring.

m1
He
k
m,
Transcribed Image Text:m1 He k m,
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