Part 1.  We will use a three-wheeled cart on a flat and smooth table. A string is attached to the front of the cart. The other end of the string was wrapped around a smooth pulley with a wight hanger attached to the other end. When we mention the smooth surface of the table and smooth pulley, it means that there is no frictional force affecting the motion. If we add different mass on the weight hanger, we are applying a different pulling force on the cart through the string. If you are given the mass of the cart and given the magnitude of the force, you can calculate the acceleration. We will gradually add the mass on the weight hanger, so we are gradually increasing the pulling force. For each force, you can calculate the acceleration.      Force (F)  on the cart, Newton Mass (m) of the Cart, kg acceleration=FmFm   1 0.5 1.2     2 1.0 1.2     3 1.5 1.2     4 2.0 1.2     5 2.5 1.2     6 3.0 1.2     You also need plot a graph with acceleration as y-axis and Force as the x-axis.   Part 2.  In part 2, we are keeping the mass on the weight hanger as a constant at 3 Newton. We will not change the net force. What we will change is that we will increase the mass of the cart by 250 g each run. You then need calculate the acceleration again with same net force but different mass of the cart.    Force (F) on the cart, Newton  Mass (m) of the cart, kg acceleration=FmFm 1 3 1.2   2 3 1.45   3 3 1.7   4 3 1.95   5 3 2.2   6 3 2.45     Please plot a graph with acceleration as y-axis and mass as axis.   Additional question: What happened to your acceleration as you increased your net force? When your net force was doubled, how much did your acceleration go up by? When your net force was tripled, how much did your acceleration go up by? What happened to your acceleration when your mass was doubled?

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter4: The Laws Of Motion
Section: Chapter Questions
Problem 16CQ: A crate remains stationary after it has been placed on a ramp inclined at an angle with the...
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Part 1.  We will use a three-wheeled cart on a flat and smooth table. A string is attached to the front of the cart. The other end of the string was wrapped around a smooth pulley with a wight hanger attached to the other end. When we mention the smooth surface of the table and smooth pulley, it means that there is no frictional force affecting the motion. If we add different mass on the weight hanger, we are applying a different pulling force on the cart through the string. If you are given the mass of the cart and given the magnitude of the force, you can calculate the acceleration. We will gradually add the mass on the weight hanger, so we are gradually increasing the pulling force. For each force, you can calculate the acceleration. 

 

  Force (F)  on the cart, Newton Mass (m) of the Cart, kg acceleration=FmFm  
1 0.5 1.2    
2 1.0 1.2    
3 1.5 1.2    
4 2.0 1.2    
5 2.5 1.2    
6 3.0 1.2    

You also need plot a graph with acceleration as y-axis and Force as the x-axis.

 

Part 2.  In part 2, we are keeping the mass on the weight hanger as a constant at 3 Newton. We will not change the net force. What we will change is that we will increase the mass of the cart by 250 g each run. You then need calculate the acceleration again with same net force but different mass of the cart. 

  Force (F) on the cart, Newton  Mass (m) of the cart, kg acceleration=FmFm
1 3 1.2  
2 3 1.45  
3 3 1.7  
4 3 1.95  
5 3 2.2  
6 3 2.45  

 

Please plot a graph with acceleration as y-axis and mass as axis.

 

Additional question:

  1. What happened to your acceleration as you increased your net force?
  2. When your net force was doubled, how much did your acceleration go up by?
  3. When your net force was tripled, how much did your acceleration go up by?
  4. What happened to your acceleration when your mass was doubled?
 
 
 
 
 
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