Vo m1 m2 From the above figure, consider the collision of two masses m¡ and m,. Initially, m¡ moves to the right with speed V, then hits m2 (initially at rest). Calculate the speed of the masses if the collision is inelastic. (Continuation) For elastic collision, let the speed of mass m¡ and mass m2 after collision be v, and v',, respectively. Setup the equation for conservation of linear momentum and setup the equation for conser- vation of energy. 2' Solution: From conservation of momentum, we have m,Vo = m¡v, + m,v,. For conservation of kinetic energy, we have + m-m2 (Continuation) Show that the speed of m, after collision is given by v Vo. Then show that the m¡+m2 2m speed of mass m, after the elastic collision is given by v', - Vp. Hint: Solve the two unknowns v', m¡+m2 and v, from the result of item 5.

Vo m1 m2 From the above figure, consider the collision of two masses m¡ and m,. Initially, m¡ moves to the right with speed V, then hits m2 (initially at rest). Calculate the speed of the masses if the collision is inelastic. (Continuation) For elastic collision, let the speed of mass m¡ and mass m2 after collision be v, and v',, respectively. Setup the equation for conservation of linear momentum and setup the equation for conser- vation of energy. 2' Solution: From conservation of momentum, we have m,Vo = m¡v, + m,v,. For conservation of kinetic energy, we have + m-m2 (Continuation) Show that the speed of m, after collision is given by v Vo. Then show that the m¡+m2 2m speed of mass m, after the elastic collision is given by v', - Vp. Hint: Solve the two unknowns v', m¡+m2 and v, from the result of item 5.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section9.1: Impulse And Momentum

Problem 1PP

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Question

Vo
m1
m2
2.b From the above figure, consider the collision of two masses m¡ and m2. Initially, m¡ moves to the right
with speed Vo then hits m2 (initially at rest).
Calculate the speed of the masses if the collision is inelastic.
(Continuation) For elastic collision, let the speed of mass m, and mass m, after collision be v', and v',
respectively. Setup the equation for conservation of linear momentum and setup the equation for conser-
vation of energy.
Solution: From conservation of momentum, we have
m¡Vo = m¡v + m,U,.
For conservation of kinetic energy, we have
+
=
m-m,
2.c (Continuation) Show that the speed of m, after collision is given by v,
Vo. Then show that the
mi+m2
2m
speed of mass m2 after the elastic collision is given by v,
-Vo. Hint: Solve the two unknowns v',
m1+m2
%3D
and v, from the result of item 5.

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