The figure shows a thin rod, of length L = 2.10 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 7.70 kg is attached to the other end. The rod is pulled aside to angle 80-19° and released with initial velocity=0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if the mass is increased? (a) Number (b) Units 1.

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Chapter1: Units, Trigonometry. And Vectors
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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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The figure shows a thin rod, of length \( L = 2.10 \) m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass \( m = 7.70 \) kg is attached to the other end. The rod is pulled aside to angle \( \theta_0 = 19^\circ \) and released with initial velocity \( v_0 = 0 \).

(a) What is the speed of the ball at the lowest point? 
(b) Does the speed increase, decrease, or remain the same if the mass is increased?

**Diagram Explanation:**

The diagram features a right triangle representing the motion path of the rod and ball. 

- The rod length \( L \) is the hypotenuse.
- The angle \( \theta_0 = 19^\circ \) indicates the angle at which the rod is initially pulled aside from the vertical.
- A circle at the end of the rod represents the ball of mass \( m \).
- An arrow pointing downward indicates the direction of the initial velocity \( v_0 \) which is zero at the release point.

Form entry fields:

- (a) Number: [Input Field] Units: [Dropdown for Unit Selection]
- (b) [Dropdown for Answer Selection: Increase, Decrease, Remain the Same]
Transcribed Image Text:The figure shows a thin rod, of length \( L = 2.10 \) m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass \( m = 7.70 \) kg is attached to the other end. The rod is pulled aside to angle \( \theta_0 = 19^\circ \) and released with initial velocity \( v_0 = 0 \). (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if the mass is increased? **Diagram Explanation:** The diagram features a right triangle representing the motion path of the rod and ball. - The rod length \( L \) is the hypotenuse. - The angle \( \theta_0 = 19^\circ \) indicates the angle at which the rod is initially pulled aside from the vertical. - A circle at the end of the rod represents the ball of mass \( m \). - An arrow pointing downward indicates the direction of the initial velocity \( v_0 \) which is zero at the release point. Form entry fields: - (a) Number: [Input Field] Units: [Dropdown for Unit Selection] - (b) [Dropdown for Answer Selection: Increase, Decrease, Remain the Same]
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