1. A bullet with mass 30 g travels horizontally at a speed of 500 m/s. It strikes a block of Jell-O of mass 30.0 kg that is initially at rest on a friction- less table (In case you are wondering how that is possible, the Jell-O is stuck to a very light mat that slides easily on the table.) The bullet embeds 25 cm into the block of Jell-O. (a) Find the magnitude and direction of the velocity of the bullet/Jell-O combination immediately after the impact is finished. (b) Find the magnitude and direction of the impulse from the bullet on the block. (c) If it took 3 ms for the bullet to change speed from 500 m/s to the final speed after impact, what is the average force between the block and the bullet during this time?

1. A bullet with mass 30 g travels horizontally at a speed of 500 m/s. It strikes a block of Jell-O of mass 30.0 kg that is initially at rest on a friction- less table (In case you are wondering how that is possible, the Jell-O is stuck to a very light mat that slides easily on the table.) The bullet embeds 25 cm into the block of Jell-O. (a) Find the magnitude and direction of the velocity of the bullet/Jell-O combination immediately after the impact is finished. (b) Find the magnitude and direction of the impulse from the bullet on the block. (c) If it took 3 ms for the bullet to change speed from 500 m/s to the final speed after impact, what is the average force between the block and the bullet during this time?

Name: ### Problem Statement1. A bullet with mass \(30 \, \text{g}\) travels
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Description: ### Problem Statement1. A bullet with mass \(30 \, \text{g}\) travels horizontally at a speed of \(500 \, \text{m/s}\). It strikes a block of Jell-O with mass \(30.0 \, \text{kg}\) that is initially at rest on a frictionless table. (The Jell-O is st

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

### Problem Statement

1. A bullet with mass \(30 \, \text{g}\) travels horizontally at a speed of \(500 \, \text{m/s}\). It strikes a block of Jell-O with mass \(30.0 \, \text{kg}\) that is initially at rest on a frictionless table. (The Jell-O is stuck to a very light mat that slides easily on the table.) The bullet embeds \(25 \, \text{cm}\) into the block of Jell-O.

(a) Find the magnitude and direction of the velocity of the bullet/Jell-O combination immediately after the impact is finished.

(b) Find the magnitude and direction of the impulse from the bullet on the block.

(c) If it took \(3 \, \text{ms}\) for the bullet to change speed from \(500 \, \text{m/s}\) to the final speed after impact, what is the average force between the block and the bullet during this time?

### Explanation of Diagrams

- The image includes a depiction of Jell-O and a bullet to illustrate the scenario described in the problem statement, where a bullet strikes and embeds into a block of Jell-O.

### Solution Approach

For (a), apply conservation of momentum:
- Initial momentum: \( p_{\text{initial}} = m_{\text{bullet}} \times v_{\text{bullet}} \)
- Final momentum: \( p_{\text{final}} = (m_{\text{bullet}} + m_{\text{Jell-O}}) \times v_{\text{final}} \)

For (b), calculate impulse:
- Impulse \( J = \Delta p = p_{\text{final}} - p_{\text{initial}} \)

For (c), use the impulse-momentum theorem to find the average force:
- Impulse: \( J = F_{\text{average}} \times \Delta t \)

These principles help solve each part of the problem systematically.

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