A golf ball strikes a hard, smooth floor at an angle of ? = 25.0° and, as the drawing shows, rebounds at the same angle. The mass of the ball is 0.051 kg, and its speed is 45 m/s just before and after striking the floor. What is the magnitude of the impulse applied to the golf ball by the floor? (Hint: Note that only the vertical component of the ball's momentum changes during impact with the floor.)  N·s

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A golf ball strikes a hard, smooth floor at an angle of ? = 25.0° and, as the drawing shows, rebounds at the same angle. The mass of the ball is 0.051 kg, and its speed is 45 m/s just before and after striking the floor. What is the magnitude of the impulse applied to the golf ball by the floor? (Hint: Note that only the vertical component of the ball's momentum changes during impact with the floor.)
 N·s

**Projectile Motion Diagram**

The given diagram is a representation of a projectile motion scenario. It demonstrates two possible launch angles θ for a projectile to achieve a specified initial speed and range. Here’s an explanation of the elements in the diagram:

1. **Projectile Paths**: The diagram captures the motion of a projectile launched at two different angles.

2. **Initial Speed (45 m/s)**: Both projectiles are launched with the same initial speed of 45 meters per second (m/s).

3. **Launch Angles (θ)**: The projectiles are launched at two different angles, showing the symmetry of projectile motion. The angles are illustrated by the two arrows originating from a common point and diverging at equal but opposite angles from the vertical dashed line. Each angle θ is measured from the horizontal baseline.

4. **Vertical Symmetry**: The vertical dashed line in the center indicates the axis of symmetry for the two projectile paths. This symmetry highlights that two different angles (one acute and one obtuse) can result in the same horizontal range if other parameters remain constant.

5. **Ground**: At the bottom of the diagram, a line represents the ground or the horizontal surface from which the projectiles are launched.

This diagram visually supports the fundamental projectile motion principle that a projectile launched with a given initial speed can cover the same horizontal range at two different projection angles, assuming air resistance is negligible. The complementary angles (θ and (90° - θ)) result in the same range due to their symmetric trajectories with respect to the vertical axis.
Transcribed Image Text:**Projectile Motion Diagram** The given diagram is a representation of a projectile motion scenario. It demonstrates two possible launch angles θ for a projectile to achieve a specified initial speed and range. Here’s an explanation of the elements in the diagram: 1. **Projectile Paths**: The diagram captures the motion of a projectile launched at two different angles. 2. **Initial Speed (45 m/s)**: Both projectiles are launched with the same initial speed of 45 meters per second (m/s). 3. **Launch Angles (θ)**: The projectiles are launched at two different angles, showing the symmetry of projectile motion. The angles are illustrated by the two arrows originating from a common point and diverging at equal but opposite angles from the vertical dashed line. Each angle θ is measured from the horizontal baseline. 4. **Vertical Symmetry**: The vertical dashed line in the center indicates the axis of symmetry for the two projectile paths. This symmetry highlights that two different angles (one acute and one obtuse) can result in the same horizontal range if other parameters remain constant. 5. **Ground**: At the bottom of the diagram, a line represents the ground or the horizontal surface from which the projectiles are launched. This diagram visually supports the fundamental projectile motion principle that a projectile launched with a given initial speed can cover the same horizontal range at two different projection angles, assuming air resistance is negligible. The complementary angles (θ and (90° - θ)) result in the same range due to their symmetric trajectories with respect to the vertical axis.
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