# Elastic Collision ProblemA mass, \(m_1 = 1 \, \text{Kg}\), with an initial velocity \(u_1 = 10 \, \text{m/s}\) moving to the right, collides with another mass, \(m_2 = 1 \, \text{Kg}\), with an initial velocity \(u_2 = 10 \, \text{m/s}\) moving to the left as shown in the figure below. Find the velocities (\(v_1\) and \(v_2\)) of the two masses after the collision, assuming a perfectly elastic collision. *(Hint: Use both conservation of momentum and conservation of energy).*## Diagram ExplanationThe diagram depicts two blocks on a horizontal line representing the x-axis:- **Block 1** (left side): - Labeled \(m_1 = 1 \, \text{kg}\) - Initially moving to the right with initial velocity \(u_1 = 10 \, \text{m/s}\) - Arrow pointing right indicates the direction of motion.- **Block 2** (right side): - Labeled \(m_2 = 1 \, \text{kg}\) - Initially moving to the left with initial velocity \(u_2 = -10 \, \text{m/s}\) - Arrow pointing left indicates the direction of motion.## Notation and Notes- There is a coordinate system with x-axis defined horizontally and y-axis vertically.- A note clarifies: - \(u_1\) is along the positive x-axis and is taken as \(10 \, \text{m/s}\). - \(u_2\) is along the negative x-axis and thus is taken as \(-10 \, \text{m/s}\).This setup requires using the conservation laws to find the final velocities of both masses after the collision.

Draw the schematic diagram for both the mass after the collision. Assume after the collision both…

A lila m2=1 Kg and initial velocity u2= 10m/s moving to the left as shown in the figure below. Find the velocities (vị and v2) of the two masses after collision assuming a perfectly elastic collision. (Hint: Use both conservation of momentum and conservation of energy). =-10m/s ai =10m/s m2 = TKg M = 0 lomis Ui is along Uz is along tahen as NOTE : threfane take it al -10m/s

A lila m2=1 Kg and initial velocity u2= 10m/s moving to the left as shown in the figure below. Find the velocities (vị and v2) of the two masses after collision assuming a perfectly elastic collision. (Hint: Use both conservation of momentum and conservation of energy). =-10m/s ai =10m/s m2 = TKg M = 0 lomis Ui is along Uz is along tahen as NOTE : threfane take it al -10m/s

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

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# Elastic Collision Problem

A mass, \(m_1 = 1 \, \text{Kg}\), with an initial velocity \(u_1 = 10 \, \text{m/s}\) moving to the right, collides with another mass, \(m_2 = 1 \, \text{Kg}\), with an initial velocity \(u_2 = 10 \, \text{m/s}\) moving to the left as shown in the figure below. Find the velocities (\(v_1\) and \(v_2\)) of the two masses after the collision, assuming a perfectly elastic collision. *(Hint: Use both conservation of momentum and conservation of energy).*

## Diagram Explanation

The diagram depicts two blocks on a horizontal line representing the x-axis:

- **Block 1** (left side):
- Labeled \(m_1 = 1 \, \text{kg}\)
- Initially moving to the right with initial velocity \(u_1 = 10 \, \text{m/s}\)
- Arrow pointing right indicates the direction of motion.

- **Block 2** (right side):
- Labeled \(m_2 = 1 \, \text{kg}\)
- Initially moving to the left with initial velocity \(u_2 = -10 \, \text{m/s}\)
- Arrow pointing left indicates the direction of motion.

## Notation and Notes

- There is a coordinate system with x-axis defined horizontally and y-axis vertically.
- A note clarifies:
- \(u_1\) is along the positive x-axis and is taken as \(10 \, \text{m/s}\).
- \(u_2\) is along the negative x-axis and thus is taken as \(-10 \, \text{m/s}\).

This setup requires using the conservation laws to find the final velocities of both masses after the collision.

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