Solving 2kg Fan-Cart Motion: Acceleration, Velocity & Displacement

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SUMMARY

The discussion focuses on solving the motion of a 2 kg fan-cart subjected to a 4 N forward force from the fan and a 1 N frictional force. Using Newton's Second Law, the net force acting on the cart is calculated as 3 N, resulting in an acceleration of 1.5 m/s². The velocity after 3 seconds is determined to be 4.5 m/s, while after 5 seconds, it reaches 7.5 m/s. Displacement calculations reveal that between 3 and 5 seconds, the cart travels 11.5 meters, and the total displacement from 0 to 5 seconds is 18.75 meters, with an average velocity of 5.25 m/s during that interval.

PREREQUISITES
  • Newton's Second Law of Motion
  • Kinematic equations for linear motion
  • Basic concepts of force and friction
  • Understanding of acceleration and velocity calculations
NEXT STEPS
  • Study the application of Newton's Second Law in various scenarios
  • Explore kinematic equations in-depth, focusing on displacement and velocity
  • Learn about frictional forces and their impact on motion
  • Investigate real-world applications of linear motion principles
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to enhance their understanding of motion concepts and problem-solving techniques.

jammhawk
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Homework Statement


A 2 kg fan-cart is in linear motion; it experiences 4 N forward force due to the fan.

Assume that the 2kg fan-cart rolls under fan's force, between the weels and track there is 1N frictional force.

1. its acceleration
2. its velocity 3 second after start
3. its velocity 5 second after start
4. its displacement between 3s and 5s
5. its displacement between 0s and 5s
6. its average velocity using the result of 4

Homework Equations





The Attempt at a Solution



Any HELP will be GREAT!
 
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You are going to have to show how you would apply Newton's 2nd law and the general kinematic motion equations.
 

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