As shown in the figure below, object m, = 1.75 kg starts at an initial height h,, = 0.315 m and speed v, = 4.00 m/s, swings downward and strikes (in an elastic collision) object m, = 4.80 kg which is initially at rest. %3D 4.00 m/s (a) Determine the speed of m, (in m/s) just before the collision. |m/s (b) Determine the velocity (magnitude in m/s and direction) of each ball just after the collision (Assume the positive direction i toward the right. Indicate the direction with the sign of your answer.) |m/s |m/s m2 (c) Determine the height (in m) to which each ball swings after the collision (ignoring air resistance). m. |m m2

As shown in the figure below, object m, = 1.75 kg starts at an initial height h,, = 0.315 m and speed v, = 4.00 m/s, swings downward and strikes (in an elastic collision) object m, = 4.80 kg which is initially at rest. %3D 4.00 m/s (a) Determine the speed of m, (in m/s) just before the collision. |m/s (b) Determine the velocity (magnitude in m/s and direction) of each ball just after the collision (Assume the positive direction i toward the right. Indicate the direction with the sign of your answer.) |m/s |m/s m2 (c) Determine the height (in m) to which each ball swings after the collision (ignoring air resistance). m. |m m2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

### Physics Problem: Elastic Collision in Pendulum System

#### Problem Statement:
As shown in the figure below, object \( m_1 = 1.75 \, \text{kg} \) starts at an initial height \( h_{1i} = 0.315 \, \text{m} \) and speed \( v_{1i} = 4.00 \, \text{m/s} \), swings downward and strikes (in an elastic collision) object \( m_2 = 4.80 \, \text{kg} \) which is initially at rest.

![Diagram: Two masses in a pendulum-like structure](image_link)

#### Questions:
(a) **Determine the speed of \( m_1 \) (in m/s) just before the collision.**

\[ \boxed{\text{m/s}} \]

(b) **Determine the velocity (magnitude in m/s and direction) of each ball just after the collision (Assume the positive direction is toward the right. Indicate the direction with the sign of your answer.)**

\[ m_1 \quad \boxed{\text{m/s}} \]

\[ m_2 \quad \boxed{\text{m/s}} \]

(c) **Determine the height (in m) to which each ball swings after the collision (ignoring air resistance).**

\[ m_1 \quad \boxed{\text{m}} \]

\[ m_2 \quad \boxed{\text{m}} \]

#### Explanation of the Diagram:

The diagram depicts a pendulum system with two masses involved in an elastic collision. The mass \( m_1 \) is shown swinging downwards from a height \( h_{1i} \) and approaching the stationary mass \( m_2 \).

- \( m_1 \) is illustrated as a smaller ball labeled \( m_1 = 1.75 \, \text{kg} \), with an arrow indicating its downward motion with a speed of \( 4.00 \, \text{m/s} \) before the collision.
- \( m_2 \) is a larger ball labeled \( m_2 = 4.80 \, \text{kg} \) and is shown initially at rest.
- The point of collision and subsequent directions of movements post-collision are implied, following the principles of linear momentum and energy conservation for an elastic collision.

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