A bolt gun has a spring of spring constant k = 14 N/m which is used to fire a bolt of mass m. The bolt leaves the gun at a speed of v = 5.8 m/s after the spring is compressed 1 cm. What is the weight, Fg in Newtons, of the bolt?  What is the bolt’s speed when it hits the floor vf, in m/s, if it is fired horizontally at a height of h = 2 meters?

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Chapter1: Units, Trigonometry. And Vectors
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A bolt gun has a spring of spring constant k = 14 N/m which is used to fire a bolt of mass m. The bolt leaves the gun at a speed of v = 5.8 m/s after the spring is compressed 1 cm.

What is the weight, Fg in Newtons, of the bolt? 

What is the bolt’s speed when it hits the floor vf, in m/s, if it is fired horizontally at a height of h = 2 meters? 

 

**Projectile Motion Diagram**

This diagram illustrates the basic principles of projectile motion. It displays a projectile being launched horizontally from a certain height and depicts its subsequent path under the influence of gravity.

### Components of the Diagram:
1. **Initial Launch Position:**
   - The projectile is launched horizontally from a height denoted as \( h \).
   - A red arrow indicates the initial horizontal velocity of the projectile.

2. **Trajectory Path:**
   - The projectile follows a parabolic path, represented by a dashed curve, due to the influence of gravity acting on it vertically.
   - The motion is split into horizontal and vertical components. The horizontal motion remains uniform, as no acceleration acts in the horizontal direction.

3. **Final Position:**
   - The projectile travels a horizontal distance \( d \) before hitting the ground.
   - This horizontal distance represents the range of the projectile.

### Additional Notes:
- Gravity is the only force acting on the projectile after it has been launched, causing it to accelerate downward.
- The range \( d \) and final vertical impact position are determined by the initial velocity and launching height \( h \).

This diagram is helpful in visualizing how different factors such as initial velocity and height influence the trajectory of a projectile.
Transcribed Image Text:**Projectile Motion Diagram** This diagram illustrates the basic principles of projectile motion. It displays a projectile being launched horizontally from a certain height and depicts its subsequent path under the influence of gravity. ### Components of the Diagram: 1. **Initial Launch Position:** - The projectile is launched horizontally from a height denoted as \( h \). - A red arrow indicates the initial horizontal velocity of the projectile. 2. **Trajectory Path:** - The projectile follows a parabolic path, represented by a dashed curve, due to the influence of gravity acting on it vertically. - The motion is split into horizontal and vertical components. The horizontal motion remains uniform, as no acceleration acts in the horizontal direction. 3. **Final Position:** - The projectile travels a horizontal distance \( d \) before hitting the ground. - This horizontal distance represents the range of the projectile. ### Additional Notes: - Gravity is the only force acting on the projectile after it has been launched, causing it to accelerate downward. - The range \( d \) and final vertical impact position are determined by the initial velocity and launching height \( h \). This diagram is helpful in visualizing how different factors such as initial velocity and height influence the trajectory of a projectile.
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