Chapter 6: Problem 29
A little red wagon with mass 7.00 kg moves in a straight line on a frictionless horizontal surface. It has an initial speed of 4.00 m/s and then is pushed 3.0 m in the direction of the initial velocity by a force with a magnitude of 10.0 N. (a) Use the work\(-\)energy theorem to calculate the wagon's final speed. (b) Calculate the acceleration produced by the force. Use this acceleration in the kinematic relationships of Chapter 2 to calculate the wagon's final speed. Compare this result to that calculated in part (a).
Short Answer
Step by step solution
Understand the Work-Energy Theorem
Calculate Work Done
Calculate Initial and Final Kinetic Energies
Calculate Final Speed using Work-Energy Theorem
Calculate Acceleration Using Newton's Second Law
Use Kinematics to Find Final Speed
Compare Results from Both Methods
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Kinematics
The key is to apply these kinematic equations to make precise predictions about the motion of objects.
Newton's Second Law
Understanding Newton’s second law helps us predict how a given force will influence the motion of an object, which is essential for solving many physics problems.
Kinetic Energy
Recognizing these energy transformations underlines the connection between force, motion, and the energy perspective in physics.
Acceleration
Grasping acceleration is crucial for comprehending the stepping stone between force application and changes in an object's motion.
Frictionless Surface
Understanding the role of a frictionless surface helps us focus on core concepts like work, energy, and force, without the complexities introduced by friction.