c) Suppose you rake a bunch of leaves together to create a large pile. You then decide to jump into the pile of leaves. You land in the leaf pile with a speed of 1.5 m/s directed in the negative y-direction and it takes about 0.75 s to come to rest. Assume your mass is 68 kg. The magnitude of the average force acting on you is most nearly... i) The magnitude of the impulse is most nearly... ii) A. 0 kg m/s A. ON B. 70 kg m/s B. 70 N C. 90 kg m/s С. 90 N D. 100 kg m/s D. 100 N E. 135 kg m/s E. 135 N F. None of these F. None of these ii) How would the impulse and average force acting on you change if you were to perform the same jump on just the ground, without the leaves present? Impulse: Increase Decrease Remain the Same Average Force: Increase Decrease Remain the Same

c) Suppose you rake a bunch of leaves together to create a large pile. You then decide to jump into the pile of leaves. You land in the leaf pile with a speed of 1.5 m/s directed in the negative y-direction and it takes about 0.75 s to come to rest. Assume your mass is 68 kg. The magnitude of the average force acting on you is most nearly... i) The magnitude of the impulse is most nearly... ii) A. 0 kg m/s A. ON B. 70 kg m/s B. 70 N C. 90 kg m/s С. 90 N D. 100 kg m/s D. 100 N E. 135 kg m/s E. 135 N F. None of these F. None of these ii) How would the impulse and average force acting on you change if you were to perform the same jump on just the ground, without the leaves present? Impulse: Increase Decrease Remain the Same Average Force: Increase Decrease Remain the Same

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

### Educational Material: Impulse and Average Force

**Scenario:**
Suppose you rake a bunch of leaves together to create a large pile. You then decide to jump into the pile of leaves. You land in the leaf pile with a speed of 1.5 m/s directed in the negative y-direction and it takes about 0.75 s to come to rest. Assume your mass is 68 kg.

**Questions:**

i) **The magnitude of the impulse is most nearly:**

- A. 0 kg m/s
- B. 70 kg m/s
- C. 90 kg m/s
- D. 100 kg m/s
- E. 135 kg m/s
- F. None of these

ii) **The magnitude of the average force acting on you is most nearly:**

- A. 0 N
- B. 70 N
- C. 90 N
- D. 100 N
- E. 135 N
- F. None of these

iii) **How would the impulse and average force acting on you change if you were to perform the same jump on just the ground, without the leaves present?**

- **Impulse:** Increase, Decrease, Remain the Same
- **Average Force:** Increase, Decrease, Remain the Same

**Explanation:**

- **Impulse** is the change in momentum and is given by the formula: $ \text{Impulse} = \Delta p = m \Delta v $, where $ \Delta v $ is the change in velocity.
- **Average Force** is calculated using: $ \text{Average Force} = \frac{\text{Impulse}}{\Delta t} $, where $ \Delta t $ is the time over which the change occurs.

Considering that the jump is from a height with initial velocity set to 0, the answer can be found using these principles.

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