b.Suppose the catapult arm has a length of R = 3 m and the pumpkin undergoes uniform circular motion with an acceleration of a = 75 m/s^2 before it is launched. What is the speed of the pumpkin at the moment it is launched?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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To celebrate the start of October, you want to win a pumpkin
catapult contest, which requires you to build a catapult and launch
a pumpkin from it. You build your catapult so that it releases the
pumpkin when the catapult arm is exactly vertical, as shown in
the picture.

a.Draw a picture and make a list of known and unknown
quantities for the scenario

b.Suppose the catapult arm has a length of R = 3 m and the pumpkin undergoes uniform circular motion with an acceleration of a = 75 m/s^2 before it is launched. What is the speed of the pumpkin at the moment it is launched?

The image depicts a catapult, specifically designed to launch a pumpkin. The structure is made of wood and consists of a horizontal base with two wheels for mobility. Attached to the base is a vertical arm from which the pumpkin is launched.

Key elements of the diagram:

1. **Vertical Arm**: The height of the arm is labeled "R," indicating the distance from the base to the point where the pumpkin rests before launch.

2. **Pumpkin**: Positioned at the top of the vertical arm, ready to be launched along the indicated path.

3. **Launch Path**: Represented by a dashed arrow pointing horizontally, showing the intended trajectory of the pumpkin upon release.

4. **Background**: The setting includes a light blue sky with clouds and mountains in the distance, suggesting an outdoor environment.

This illustration can be used to explain basic principles of physics, such as projectile motion and mechanical advantage, in a fun and engaging way by simulating a real-world application of a catapult.
Transcribed Image Text:The image depicts a catapult, specifically designed to launch a pumpkin. The structure is made of wood and consists of a horizontal base with two wheels for mobility. Attached to the base is a vertical arm from which the pumpkin is launched. Key elements of the diagram: 1. **Vertical Arm**: The height of the arm is labeled "R," indicating the distance from the base to the point where the pumpkin rests before launch. 2. **Pumpkin**: Positioned at the top of the vertical arm, ready to be launched along the indicated path. 3. **Launch Path**: Represented by a dashed arrow pointing horizontally, showing the intended trajectory of the pumpkin upon release. 4. **Background**: The setting includes a light blue sky with clouds and mountains in the distance, suggesting an outdoor environment. This illustration can be used to explain basic principles of physics, such as projectile motion and mechanical advantage, in a fun and engaging way by simulating a real-world application of a catapult.
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