1) If the ball is dropped form rest at a height h = 5.2 ft, what is its speed right before it strikes the plane at A? Your answer must include 2 places after the decimal point. Take g = 32.2 ft/s². T h B

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For this series of 4 questions, a 1-lb ball is dropped from rest and falls a distance before striking the smooth plane at point A. It bounces from the plane and then strikes it again. You will be asked to solve for different aspects; please note that the numbers may change from problem to problem as they are randomized.

1) If the ball is dropped from rest at a height \( h = 5.2 \, \text{ft} \), what is its speed right before it strikes the plane at point A? Your answer must be precise to two decimal places. The gravitational acceleration \( g \) is given as \( 32.2 \, \text{ft/s}^2 \).

*Diagram Explanation:*

The diagram illustrates the path of a ball dropped from a height \( h \) as it falls and bounces off a smooth plane. The initial drop point is marked, and the path arcs down to point A on the inclined plane. The plane continues to point B at the bottom right, where further action may occur. The diagram includes mathematical notations with angles and distances, indicating potential areas for calculations.

Your Answer:

| Answer | units |
Transcribed Image Text:For this series of 4 questions, a 1-lb ball is dropped from rest and falls a distance before striking the smooth plane at point A. It bounces from the plane and then strikes it again. You will be asked to solve for different aspects; please note that the numbers may change from problem to problem as they are randomized. 1) If the ball is dropped from rest at a height \( h = 5.2 \, \text{ft} \), what is its speed right before it strikes the plane at point A? Your answer must be precise to two decimal places. The gravitational acceleration \( g \) is given as \( 32.2 \, \text{ft/s}^2 \). *Diagram Explanation:* The diagram illustrates the path of a ball dropped from a height \( h \) as it falls and bounces off a smooth plane. The initial drop point is marked, and the path arcs down to point A on the inclined plane. The plane continues to point B at the bottom right, where further action may occur. The diagram includes mathematical notations with angles and distances, indicating potential areas for calculations. Your Answer: | Answer | units |
2) If the ball is dropped from rest at a height \( h = 7.0 \) ft, and the coefficient of restitution between the ball and the plane is \( e = 0.1 \), what is its speed right after it strikes the plane at A? (*Hint: when striking the wall/ground, the line of impact is always normal to the surface, and the wall/ground always has a speed of zero.*) Your answer must include 2 places after the decimal point. Take \( g = 32.2 \) ft/s\(^2\).
Transcribed Image Text:2) If the ball is dropped from rest at a height \( h = 7.0 \) ft, and the coefficient of restitution between the ball and the plane is \( e = 0.1 \), what is its speed right after it strikes the plane at A? (*Hint: when striking the wall/ground, the line of impact is always normal to the surface, and the wall/ground always has a speed of zero.*) Your answer must include 2 places after the decimal point. Take \( g = 32.2 \) ft/s\(^2\).
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