You tie a ball to a string of length 1.2 meters. You swing the ball in a horizontal circle at a constant speed, and the string makes an angle of 35 degrees relative to the vertical, as shown in the diagram. Find the speed of the ball, in m/s.
You tie a ball to a string of length 1.2 meters. You swing the ball in a horizontal circle at a constant speed, and the string makes an angle of 35 degrees relative to the vertical, as shown in the diagram. Find the speed of the ball, in m/s.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
You tie a ball to a string of length 1.2 meters. You swing the ball in a horizontal circle at
a constant speed, and the string makes an angle of 35 degrees relative to the vertical,
as shown in the diagram. Find the speed of the ball, in m/s.
Transcribed Image Text:The image contains two diagrams related to physics and motion.
**Diagram 1: Horizontal Circular Motion**
- A ball is shown moving in a horizontal circle.
- The diagram includes a radius \( l \) and an angle \( \theta \) measured relative to the vertical.
- A dashed line indicates the vertical axis, and the path of the ball's motion is represented by an ellipse.
**Diagram 2: Inclined Force on an Object**
- The second diagram depicts a block against a vertical surface.
- A force \( P \) is applied at a 35-degree angle to the horizontal.
- The block is represented in red, bordered with a darker outline.
- The dashed line indicates the horizontal direction, while the arrow shows the direction of the force applied.
Both diagrams are utilized to illustrate concepts in physics related to circular motion and force application on inclined surfaces.
Expert Solution
Step 1
Analyze the following diagram of the ball.
Applying Newton’s second law in the vertical direction,
Now, applying Newton’s second law in the horizontal direction.
Here, R is the radius of the circle.
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