You know that when you throw, you exert a force of 655 N on the ball (which has mass 1.84 kg), and that you do so for a distance of 0.27 m. If you start the throw from rest, what is the final speed of the ball? When you show your work for this question, you must do the calculations using work and energy for credit. If you use kinematics you will not recieve credit. Your Answer:

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**Physics Problem: Work and Energy**

Consider the following situation: You are throwing a ball to a friend while taking a physics class, and you begin to wonder about the concept of work.

**Problem Statement:**
You know that when you throw, you exert a force of 655 N on the ball (which has a mass of 1.84 kg), and that you do so for a distance of 0.27 m. If you start the throw from rest, what is the final speed of the ball?

**Instructions:**
When you show your work for this question, you must do the calculations using principles of work and energy for credit. If you use kinematics, you will not receive credit.

**Provide Your Answer Below:**
- Answer: [_________]
- Units: [_________]

To explain the calculation in detail:
1. **Calculate the Work Done:**
   - Work \( W \) is given by the formula \( W = F \cdot d \) where \( F \) is the force and \( d \) is the distance.
   - Here, \( F = 655 \, \text{N} \) and \( d = 0.27 \, \text{m} \).

2. **Determine the Kinetic Energy:**
   - The work done on the ball is converted into its kinetic energy \( \left( \frac{1}{2}mv^2 \right) \).
   - Thus, \( W = \frac{1}{2}mv^2 \), where \( m \) is the mass of the ball and \( v \) is its final velocity.

3. **Solve for Final Velocity:**
   - Equate the work done to the kinetic energy and solve for \( v \).

Remember to express your final answer with the appropriate units.
Transcribed Image Text:**Physics Problem: Work and Energy** Consider the following situation: You are throwing a ball to a friend while taking a physics class, and you begin to wonder about the concept of work. **Problem Statement:** You know that when you throw, you exert a force of 655 N on the ball (which has a mass of 1.84 kg), and that you do so for a distance of 0.27 m. If you start the throw from rest, what is the final speed of the ball? **Instructions:** When you show your work for this question, you must do the calculations using principles of work and energy for credit. If you use kinematics, you will not receive credit. **Provide Your Answer Below:** - Answer: [_________] - Units: [_________] To explain the calculation in detail: 1. **Calculate the Work Done:** - Work \( W \) is given by the formula \( W = F \cdot d \) where \( F \) is the force and \( d \) is the distance. - Here, \( F = 655 \, \text{N} \) and \( d = 0.27 \, \text{m} \). 2. **Determine the Kinetic Energy:** - The work done on the ball is converted into its kinetic energy \( \left( \frac{1}{2}mv^2 \right) \). - Thus, \( W = \frac{1}{2}mv^2 \), where \( m \) is the mass of the ball and \( v \) is its final velocity. 3. **Solve for Final Velocity:** - Equate the work done to the kinetic energy and solve for \( v \). Remember to express your final answer with the appropriate units.
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