In the figure, two particles are launched from the origin of the coordinate system at time t = 0. Particle 1 of mass m₁ = 3.10 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 11.8 m/s. Particle 2 of mass m₂ = 1.10 g is shot with a velocity of magnitude 18.3 m/s, at an upward angle such that it always stays directly above particle 1 during its flight. (a) What is the maximum height Hmax reached by the com of the two-particle system? In unit- vector notation, what are the (b) velocity and (c) acceleration of the com when the com reaches Hmax? x

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 9.42P
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In the figure, two particles are launched from the origin of the coordinate system at
time t = 0. Particle 1 of mass m₁ = 3.10 g is shot directly along the x axis (on a
frictionless floor), where it moves with a constant speed of 11.8 m/s. Particle 2 of
mass m₂ = 1.10 g is shot with a velocity of magnitude 18.3 m/s, at an upward angle
such that it always stays directly above particle 1 during its flight. (a) What is the
maximum height Hmax reached by the com of the two-particle system? In unit-
vector notation, what are the (b) velocity and (c) acceleration of the com when the
com reaches Hmax?
Transcribed Image Text:In the figure, two particles are launched from the origin of the coordinate system at time t = 0. Particle 1 of mass m₁ = 3.10 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 11.8 m/s. Particle 2 of mass m₂ = 1.10 g is shot with a velocity of magnitude 18.3 m/s, at an upward angle such that it always stays directly above particle 1 during its flight. (a) What is the maximum height Hmax reached by the com of the two-particle system? In unit- vector notation, what are the (b) velocity and (c) acceleration of the com when the com reaches Hmax?
A shell is shot with an initial velocity of 17 m/s, at an angle of 0o = 64° with the
horizontal. At the top of the trajectory, the shell explodes into two fragments of
equal mass (see the figure). One fragment, whose speed immediately after the
explosion is zero, falls vertically. How far from the gun does the other fragment
land, assuming that the terrain is level and that air drag is negligible?
Explosion
Transcribed Image Text:A shell is shot with an initial velocity of 17 m/s, at an angle of 0o = 64° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (see the figure). One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment land, assuming that the terrain is level and that air drag is negligible? Explosion
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