m = 5 kg 40° 3m 3m (т hị Va = 2.0 m/s hy= 0 m Theoretical: Use the energy method to find v3. Calculate Tension T at the bottom most point.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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I am mostly just wondering about finding the velocity B. I know how to find tension after that. 

I got Vb= 4.214 m/s for the veloctity but I am not sure if I did it right. 

Hight initial is 0.702 m

This was what I did

(1/2)(5)(2^2)+(5)(9.8)(.702)=(1/2)(5)(Vf^2)

**Lab 5: Energy Method**

**Part A:**

A diagram displays a pendulum-like setup with the following details:

- A mass \( m = 5 \, \text{kg} \) is attached to a cord of length \( 3 \, \text{m} \).
- The mass is initially positioned at an angle of \( 40^\circ \) from the vertical.
- At the initial position, the mass has a velocity \( v_a = 2.0 \, \text{m/s} \).
- The height at the initial position is \( h_i \), determined by the angle and length of the pendulum.
- The final height \( h_f \) at the bottom-most point of the swing is \( 0 \, \text{m} \).

**Theoretical Tasks:**

1. **Use the energy method to find \( v_b \):**  
   Calculate the velocity of the mass at the lowest point using energy conservation principles.

2. **Calculate Tension \( T \) at the bottom-most point:**  
   Determine the tension in the cord when the mass reaches the bottom of its swing.
Transcribed Image Text:**Lab 5: Energy Method** **Part A:** A diagram displays a pendulum-like setup with the following details: - A mass \( m = 5 \, \text{kg} \) is attached to a cord of length \( 3 \, \text{m} \). - The mass is initially positioned at an angle of \( 40^\circ \) from the vertical. - At the initial position, the mass has a velocity \( v_a = 2.0 \, \text{m/s} \). - The height at the initial position is \( h_i \), determined by the angle and length of the pendulum. - The final height \( h_f \) at the bottom-most point of the swing is \( 0 \, \text{m} \). **Theoretical Tasks:** 1. **Use the energy method to find \( v_b \):** Calculate the velocity of the mass at the lowest point using energy conservation principles. 2. **Calculate Tension \( T \) at the bottom-most point:** Determine the tension in the cord when the mass reaches the bottom of its swing.
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