Exploration 3 Accelerating the cart with a different net force and constant total mass Exploration 3.1 Since the surface is very low friction, it is possible to consider the cart and mass hanger as one system. What is the net force on the system? Explain.

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**Lab 6: Force, Mass, and Acceleration**

**Objectives:**
- To study Newton's Second Law, \( F = ma \), with a constant net force.
- To study Newton’s Second Law with constant mass.

**Equipment:**
- Computer-based laboratory system
- Motion detector
- Real-Time physics mechanics experiment configuration files
- Cart
- Force probe
- Ramp
- Masses
- White card
- Balance

**Exploration 1: Force diagrams, net force and acceleration**

Consider a cart on a frictionless surface with a light string attached, hanging over a pulley, as in the picture below. Consider the situation after the hanging mass has been released from rest.

**Diagram Description:**
There is a cart (labeled \( m_c \)) situated on a horizontal frictionless surface. A string is attached to this cart, which runs over a pulley at the edge of the surface. At the other end of the string, there is a hanging mass (labeled \( m_h \)).

**Exploration 1.1.a: Draw two force diagrams – one for the cart and one for the hanging mass in the space below.**

**Hand-drawn Diagrams Description:**
1. **Cart (labeled \( m_c \)) on the surface:**
    - An arrow pointing right labeled \( T \) (representing the tension in the string pulling the cart towards the pulley)
   
2. **Hanging mass (labeled \( m_h \)):**
    - An upward arrow labeled \( T \) (representing the tension in the string pulling the mass upward)
    - A downward arrow labeled \( m_h g \) (representing the gravitational force acting on the hanging mass)

**Note:** The image shows a hand-drawn representation of the forces acting on both the cart and the hanging mass, illustrating the direction of the tension (\( T \)) and gravitational forces (\( m_h g \)) for the respective objects.
Transcribed Image Text:**Lab 6: Force, Mass, and Acceleration** **Objectives:** - To study Newton's Second Law, \( F = ma \), with a constant net force. - To study Newton’s Second Law with constant mass. **Equipment:** - Computer-based laboratory system - Motion detector - Real-Time physics mechanics experiment configuration files - Cart - Force probe - Ramp - Masses - White card - Balance **Exploration 1: Force diagrams, net force and acceleration** Consider a cart on a frictionless surface with a light string attached, hanging over a pulley, as in the picture below. Consider the situation after the hanging mass has been released from rest. **Diagram Description:** There is a cart (labeled \( m_c \)) situated on a horizontal frictionless surface. A string is attached to this cart, which runs over a pulley at the edge of the surface. At the other end of the string, there is a hanging mass (labeled \( m_h \)). **Exploration 1.1.a: Draw two force diagrams – one for the cart and one for the hanging mass in the space below.** **Hand-drawn Diagrams Description:** 1. **Cart (labeled \( m_c \)) on the surface:** - An arrow pointing right labeled \( T \) (representing the tension in the string pulling the cart towards the pulley) 2. **Hanging mass (labeled \( m_h \)):** - An upward arrow labeled \( T \) (representing the tension in the string pulling the mass upward) - A downward arrow labeled \( m_h g \) (representing the gravitational force acting on the hanging mass) **Note:** The image shows a hand-drawn representation of the forces acting on both the cart and the hanging mass, illustrating the direction of the tension (\( T \)) and gravitational forces (\( m_h g \)) for the respective objects.
**Exploration 3: Accelerating the Cart with a Different Net Force and Constant Total Mass**

**Exploration 3.1:**
Since the surface is very low friction, it is possible to consider the cart and mass hanger as one system. What is the net force on the system? Explain.

**Exploration 3.2:**
How could you change the net force on the system and keep the total mass of the system constant?
Transcribed Image Text:**Exploration 3: Accelerating the Cart with a Different Net Force and Constant Total Mass** **Exploration 3.1:** Since the surface is very low friction, it is possible to consider the cart and mass hanger as one system. What is the net force on the system? Explain. **Exploration 3.2:** How could you change the net force on the system and keep the total mass of the system constant?
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