Problem 3. Rising Snake A snake of length L and linear mass density p rises from the table from rest. It pushes its head straight up with the constant velocity v. The part of the snake which is on the table is not moving. 1. What is the normal force that the snake exert on the table? 2. What is the tangential (parallel to the surface of the table) force that the snake exert on the table? 3. What is the minimal coefficient of friction between the snake and the table which would allow the snake to raise like that? 4. What is the total mechanical work which the snake will have done when it rises full length?

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### Problem 3. Rising Snake

A snake of length \( L \) and linear mass density \( \rho \) rises from the table from rest. It pushes its head straight up with the constant velocity \( v \). The part of the snake that is on the table is not moving.

1. **What is the normal force that the snake exerts on the table?**

2. **What is the tangential (parallel to the surface of the table) force that the snake exerts on the table?**

3. **What is the minimal coefficient of friction between the snake and the table which would allow the snake to raise like that?**

4. **What is the total mechanical work which the snake will have done when it rises to its full length?**

This problem explores the dynamics and forces involved when a snake rises vertically from a table. It involves concepts such as normal force, tangential force, coefficient of friction, and mechanical work.
Transcribed Image Text:### Problem 3. Rising Snake A snake of length \( L \) and linear mass density \( \rho \) rises from the table from rest. It pushes its head straight up with the constant velocity \( v \). The part of the snake that is on the table is not moving. 1. **What is the normal force that the snake exerts on the table?** 2. **What is the tangential (parallel to the surface of the table) force that the snake exerts on the table?** 3. **What is the minimal coefficient of friction between the snake and the table which would allow the snake to raise like that?** 4. **What is the total mechanical work which the snake will have done when it rises to its full length?** This problem explores the dynamics and forces involved when a snake rises vertically from a table. It involves concepts such as normal force, tangential force, coefficient of friction, and mechanical work.
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