Two objects, A and B, with masses 3.2 kg and 1.8 kg, move in a frictionless horizontal surface. Object A moves to the right at a constant speed of 5.1 m/s while object B moves to the right at a constant speed of 1.4 m/s. They collide and stick together.a) Determine the total momentum of the system before the collision. b) Determine the total kinetic energy of the system before the collision. c) Find the speed of the two objects after the collision. 5. Two objects, A and B, with masses 3.2 kg and 1.8 kg, move in a frictionless horizontal surface.Object A moves to the right at a constant speed of 5.1 m/s while object B moves to the right at aconstant speed of 1.4 m/s. They collide and stick together.a. Determine the total momentum of the system before the collision.b. Determine the total kinetic energy of the system before the collision.c. Find the speed of the two objects after the collision.

Answered: Two objects, A and B, with masses 3.2…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum, Impulse, And Collisions

Section: Chapter Questions

Problem 36P: This is a symbolic version of Problem 35. A railroad car of mass M moving at a speed v1 collides and...

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Two objects, A and B, with masses 3.2 kg and 1.8 kg, move in a frictionless horizontal surface. Object A moves to the right at a constant speed of 5.1 m/s while object B moves to the right at a constant speed of 1.4 m/s. They collide and stick together.

a) Determine the total momentum of the system before the collision.

b) Determine the total kinetic energy of the system before the collision.

c) Find the speed of the two objects after the collision.

5. Two objects, A and B, with masses 3.2 kg and 1.8 kg, move in a frictionless horizontal surface.
Object A moves to the right at a constant speed of 5.1 m/s while object B moves to the right at a
constant speed of 1.4 m/s. They collide and stick together.
a. Determine the total momentum of the system before the collision.
b. Determine the total kinetic energy of the system before the collision.
c. Find the speed of the two objects after the collision.

Expert Solution

Step 1

Given data

The mass of the first object is $m_{1} = 3.2 kg$

The mass of the second object is $m_{2} = 1.8 kg$

The speed of the first object is $u_{1} = 5.1 m / s$

The speed of the second object is $u_{2} = 1.4 m / s$

(a)

The total momentum of the system before the collision is,

$\begin{array}{rcl} P_{1} & = & m_{1} u_{1} + m_{2} u_{2} \\ = & (3.2 kg) (5.1 m / s) + (1.8 kg) (1.4 m / s) \\ = & 18.84 kgm / s \end{array}$

Thus, the total momentum of the system before the collision is 18.84 kgm/s.

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