a block of mass m₁ is sliding along a near frictionless surface with initial velocity of V₁; and has a head-on elastic collision with a stationary block of mass m₂. After the collision the blocks have velocities v₁fand v₂f. Both masses are measured prior to the experiment and the initial speed of m₁ is also measured using a photo-gate instrument. (A) What equations from conservation are useful for determining V₁f and v₂f. Simplify equations and solve for v2f in terms of v₁; and the masses of the two blocks m₁ and m₂. (B) Find v₁f and v2f if m₁=3.0 kg, m₁ has initial speed 4.0 m/s, and m₂=2.0 kg. (C) Show that the initial and final kinetic energies are equal as required in an elastic collision.

a block of mass m₁ is sliding along a near frictionless surface with initial velocity of V₁; and has a head-on elastic collision with a stationary block of mass m₂. After the collision the blocks have velocities v₁fand v₂f. Both masses are measured prior to the experiment and the initial speed of m₁ is also measured using a photo-gate instrument. (A) What equations from conservation are useful for determining V₁f and v₂f. Simplify equations and solve for v2f in terms of v₁; and the masses of the two blocks m₁ and m₂. (B) Find v₁f and v2f if m₁=3.0 kg, m₁ has initial speed 4.0 m/s, and m₂=2.0 kg. (C) Show that the initial and final kinetic energies are equal as required in an elastic collision.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.51P

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