(Treat as a "forces" problem) Lobster would so much like to experience "flying through the air", as it sees Frog do whenever Frog jumps. So, they devise the following scenario: Slide down a suitable slippery rock, which they indeed find - as shown in the picture below, then "fly" through the air and splash into the ocean. It should work. Frog, being worried about the friction (with coefficient u) of Lobster's shell on the rock, pushes Lobster to have an initial velocity vi. (Air resistance is negligible.) a) Draw Lobster's free-body diagram

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Hello,

Can someone please show how to solve parts d and e please?

Thank you

## Problem 2: Lobster and Frog's Adventure

### Scenario:
(Treat as a "forces" problem) Lobster wants to experience "flying through the air" as Frog does when it jumps. They plan this scenario: Slide down a slippery rock (see picture), "fly" through the air, and splash into the ocean. Frog worries about friction (coefficient µ) on Lobster's shell and pushes Lobster to an initial velocity \( v_i \). Air resistance is negligible.

### Tasks:
a) **Draw Lobster's free-body diagram while sliding on the rock.**

b) **Draw Lobster's free-body diagram while in free fall.**

c) **Calculate distance \( L \)**: How far from the rock face does Lobster splash down?

d) **Speed Considerations**:
   - (i) Where is Lobster reaching the greatest speed, and why?
   - (ii) Were Frog's worries about friction justified? Why or why not?

e) **Unit Check**: Verify the result from part c.

### Diagram Explanation:
In the provided diagram:
- **Rock Structure**:
  - **Height \( H \)**: The vertical height of the rock.
  - **Distance \( d \)**: The horizontal distance Lobster slides.
  - **Height \( h \)**: The vertical drop once Lobster leaves the rock.

- **Dynamics**:
  - Frog applies an initial force.
  - Friction acts opposite to Lobster’s motion on the ramp.
  - Lobster enters free fall upon leaving the rock.

### Instructions:
Use principles of physics like energy conservation and kinematics to analyze Lobster’s motion and answer the questions accurately.
Transcribed Image Text:## Problem 2: Lobster and Frog's Adventure ### Scenario: (Treat as a "forces" problem) Lobster wants to experience "flying through the air" as Frog does when it jumps. They plan this scenario: Slide down a slippery rock (see picture), "fly" through the air, and splash into the ocean. Frog worries about friction (coefficient µ) on Lobster's shell and pushes Lobster to an initial velocity \( v_i \). Air resistance is negligible. ### Tasks: a) **Draw Lobster's free-body diagram while sliding on the rock.** b) **Draw Lobster's free-body diagram while in free fall.** c) **Calculate distance \( L \)**: How far from the rock face does Lobster splash down? d) **Speed Considerations**: - (i) Where is Lobster reaching the greatest speed, and why? - (ii) Were Frog's worries about friction justified? Why or why not? e) **Unit Check**: Verify the result from part c. ### Diagram Explanation: In the provided diagram: - **Rock Structure**: - **Height \( H \)**: The vertical height of the rock. - **Distance \( d \)**: The horizontal distance Lobster slides. - **Height \( h \)**: The vertical drop once Lobster leaves the rock. - **Dynamics**: - Frog applies an initial force. - Friction acts opposite to Lobster’s motion on the ramp. - Lobster enters free fall upon leaving the rock. ### Instructions: Use principles of physics like energy conservation and kinematics to analyze Lobster’s motion and answer the questions accurately.
Expert Solution
Step 1

(d)

Lobster reaching the greatest speed when it falls on water.

Since acceleration due to gravity increases the speed of the lobster.

IF there is frictional force, then lobster will not slide, so initial push is required.

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