A ball of mass m, is released from the rest at point A and it collides with the second ball of mass m, point B. After the collision, two bodies stick together and the whole system reaches to point C. The netic friction coefficient for the path |CD| of length d is u. If the energy is sufficient, the two-ball stem reaches to height h, and compresses the spring of constant k by an amount x. Assume that the alls do not roll during the motion. m, h m2 h, C D a) Obtain an expression for the speed v, of the first ball just before the collision as a function of h,. b) Obtain an expression for speed ve of the composite system at B after the collision as a function of (c) Obtain an expression for compression (x) of the spring as a function of v, k and h. (d) Show that the critical value of kinetic friction coefficient above which the spring compression becomes non-zero can be given by Heritical = 2gd (e) Fill in the following table for the given set of system parameters: h(m) h2(m) k(N/m) d(m) m2(kg) 1.0 m(kg) 2.5 3.2 1.0 200 1.5 0.4 Table 2 Problem 2 (Express your answer in three decimal places)

A ball of mass m, is released from the rest at point A and it collides with the second ball of mass m, point B. After the collision, two bodies stick together and the whole system reaches to point C. The netic friction coefficient for the path |CD| of length d is u. If the energy is sufficient, the two-ball stem reaches to height h, and compresses the spring of constant k by an amount x. Assume that the alls do not roll during the motion. m, h m2 h, C D a) Obtain an expression for the speed v, of the first ball just before the collision as a function of h,. b) Obtain an expression for speed ve of the composite system at B after the collision as a function of (c) Obtain an expression for compression (x) of the spring as a function of v, k and h. (d) Show that the critical value of kinetic friction coefficient above which the spring compression becomes non-zero can be given by Heritical = 2gd (e) Fill in the following table for the given set of system parameters: h(m) h2(m) k(N/m) d(m) m2(kg) 1.0 m(kg) 2.5 3.2 1.0 200 1.5 0.4 Table 2 Problem 2 (Express your answer in three decimal places)

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Description: 2. A ball of mass m, is released from the rest at point A and it collides with the second ball of mass m,at point B. After the collision, two bodies stick together and the whole system reaches to point C. Thekinetic friction coefficient for the path

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 40PQ: There is a compressed spring between two laboratory carts of masses m1 and m2. Initially, the carts...

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