1. A 6.2kg box is moving at 2.4m/s to the left. a) What is its kinetic energy? 2.4m/s 6.2kg b) How fast will the box be moving after friction does W = - 4J of work on it?

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# Physics Problem: Kinetic Energy and Work Done by Friction

## Problem Statement

**1.** A 6.2 kg box is moving at 2.4 m/s to the left.

**a)** What is its kinetic energy?

**b)** How fast will the box be moving after friction does \( W = -4 \, \text{J} \) of work on it?

## Diagram Explanation

The diagram depicts a box with a mass of 6.2 kg. The box is shown to be moving to the left with a velocity of 2.4 m/s. An arrow indicates the direction of movement to the left, and the velocity is labeled next to it. The mass of the box is indicated below it.

## Concepts Covered

This problem requires understanding of the following physics concepts:

- **Kinetic Energy:** The energy possessed by an object due to its motion, calculated with the formula:
  \[
  \text{Kinetic Energy (KE)} = \frac{1}{2} m v^2
  \]
  where \( m \) is the mass and \( v \) is the velocity of the object.

- **Work-Energy Principle:** The change in kinetic energy of an object is equal to the net work done on the object. When friction does \( W = -4 \, \text{J} \) of work, it reduces the kinetic energy of the box. This can be summed up as:
  \[
  \Delta KE = W
  \]

Use these formulas and concepts to solve the problem and determine the velocity of the box after the work done by friction.
Transcribed Image Text:# Physics Problem: Kinetic Energy and Work Done by Friction ## Problem Statement **1.** A 6.2 kg box is moving at 2.4 m/s to the left. **a)** What is its kinetic energy? **b)** How fast will the box be moving after friction does \( W = -4 \, \text{J} \) of work on it? ## Diagram Explanation The diagram depicts a box with a mass of 6.2 kg. The box is shown to be moving to the left with a velocity of 2.4 m/s. An arrow indicates the direction of movement to the left, and the velocity is labeled next to it. The mass of the box is indicated below it. ## Concepts Covered This problem requires understanding of the following physics concepts: - **Kinetic Energy:** The energy possessed by an object due to its motion, calculated with the formula: \[ \text{Kinetic Energy (KE)} = \frac{1}{2} m v^2 \] where \( m \) is the mass and \( v \) is the velocity of the object. - **Work-Energy Principle:** The change in kinetic energy of an object is equal to the net work done on the object. When friction does \( W = -4 \, \text{J} \) of work, it reduces the kinetic energy of the box. This can be summed up as: \[ \Delta KE = W \] Use these formulas and concepts to solve the problem and determine the velocity of the box after the work done by friction.
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