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]

length of the rod L = 2.10 mmass of the rod M = 0 mass of the heavy ball m = 7.7 kgspeed of ball at…

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.

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.

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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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

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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]

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