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A 4.1 kg particle moves along the x axis under the influence of a single conservative force. If...

Question:

A 4.1 kg particle moves along the x axis under the influence of a single conservative force. If the work done on the particle is 84 J as it moves from {eq}x_1 {/eq} = 2.4 m to {eq}x_2 {/eq} = 5.4 m.

(a) Find the change in its kinetic energy.

(b) Find the change in its potential energy.

(c) Find its speed at {eq}x_2 {/eq} = 5.4 m if it starts from rest.

Work-Energy Theorem:

Let a particle of mass {eq}m {/eq} be in motion and it's kinetic energy at points P and Q be {eq}K {/eq} and {eq}K' {/eq}, respectively. As per work-energy theorem, the work done {eq}W {/eq} by the particle can be given as,

{eq}W = K'-K. {/eq}

Answer and Explanation:

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Given data:

  • Mass of the particle, {eq}m = 4.1 \ kg {/eq}
  • Work done, {eq}W = 84 \ J {/eq}
  • Initial position, {eq}x_{1} = 2.4 \ m {/eq}
  • Final...

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Work-Energy Theorem: Definition and Application

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Chapter 8 / Lesson 7
25K

Work and energy are closely related in physics. In this lesson, you'll learn what that relationship is as well as how we can apply it to various situations.


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