A tennis ball connected to a string is spun counterclockwise around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.16 kg and moves at speed v = 2.4 m/s. The circular path has a radius of R = 0.26 m. The ball is at the bottom of the circle as shown.  What is the magnitude of the tension force on the ball at this instant, in Newtons? Use g = 10 m/s2.

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Chapter1: Units, Trigonometry. And Vectors
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A tennis ball connected to a string is spun counterclockwise around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.16 kg and moves at speed v = 2.4 m/s. The circular path has a radius of R = 0.26 m. The ball is at the bottom of the circle as shown.  What is the magnitude of the tension force on the ball at this instant, in Newtons? Use g = 10 m/s2.

Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

The image shows a diagram illustrating circular motion. It consists of a small yellow circle at the bottom, connected to the center of a large dashed circle by a black line. This setup represents an object, like a pendulum, moving in a circular path.

- **Dashed Circle:** Represents the path of the object, indicating the trajectory as it moves in a circle. The center of this circle is the pivot point from which the pendulum is suspended.
- **Black Line:** This line represents the radius or the string of the pendulum. It connects the central pivot point to the object.
- **Yellow Circle:** This circle symbolizes the object (like a pendulum bob) at the end of the string.
- **Blue Arrow:** Positioned to the right of the yellow circle, indicating the direction of motion along the circular path.

The concept depicted here is fundamental in understanding the principles of centripetal force and motion dynamics in a circular path. The motion illustrated is uniform circular motion, a key topic in physics.
Transcribed Image Text:The image shows a diagram illustrating circular motion. It consists of a small yellow circle at the bottom, connected to the center of a large dashed circle by a black line. This setup represents an object, like a pendulum, moving in a circular path. - **Dashed Circle:** Represents the path of the object, indicating the trajectory as it moves in a circle. The center of this circle is the pivot point from which the pendulum is suspended. - **Black Line:** This line represents the radius or the string of the pendulum. It connects the central pivot point to the object. - **Yellow Circle:** This circle symbolizes the object (like a pendulum bob) at the end of the string. - **Blue Arrow:** Positioned to the right of the yellow circle, indicating the direction of motion along the circular path. The concept depicted here is fundamental in understanding the principles of centripetal force and motion dynamics in a circular path. The motion illustrated is uniform circular motion, a key topic in physics.
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