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In Figure 9-43, two particles are launched from the origin

Chapter , Problem 14

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QUESTION:

In Figure 9-43, two particles are launched from the origin of the coordinate system at time t ! 0. Particle 1 of mass m1 ! 5.00 g is shot directly along the x axis on a frictionless floor, with constant speed 10.0 m/s. Particle 2 of mass m2 ! 3.00 g is shot with a velocity of magnitude 20.0 m/s, at an upward angle such that it always stays directly above particle 1. (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?

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QUESTION:

In Figure 9-43, two particles are launched from the origin of the coordinate system at time t ! 0. Particle 1 of mass m1 ! 5.00 g is shot directly along the x axis on a frictionless floor, with constant speed 10.0 m/s. Particle 2 of mass m2 ! 3.00 g is shot with a velocity of magnitude 20.0 m/s, at an upward angle such that it always stays directly above particle 1. (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?

ANSWER:

Problem 14

In Figure 9-43, two particles are launched from the origin of the coordinate system at time t ! 0. Particle 1 of mass m1 ! 5.00 g is shot directly along the x axis on a frictionless floor, with constant speed 10.0 m/s. Particle 2 of mass m2 ! 3.00 g is shot with a velocity of magnitude 20.0 m/s, at an upward angle such that it always stays directly above particle 1. (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?

                                                               Step By Step Solution

Step 1 of 6

Two particles launched, 1along x axis, and 2 with an angle upwards. It is obvious that particle 1 has only horizontal components of velocity and particle 2 has both vertical and horizontal components.

Horizontal initial components of velocities of  both the particles are same,

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