The figure shows a ball with mass m = 0.499 kg attached to the end of a thin rod with length L = 0.308 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. The rod is held horizontally as shown and then given enough of a downward push to cause the ball to swing down and around and just reach the vertically upward position, with zero speed there. How much work is done on the ball by the gravitational force from the initial point to (a) the lowest point, (b) the highest point, and (c) the point on the right level with the initial point? If the gravitational potential energy of the ball-Earth system is taken to be zero at the initial point, what is it when the ball reaches (d) the lowest point, (e) the highest point, and (f) the point on the right level with the initial point? (a) Number 1.51 (b) Number -1.51 (c) Number (d) Number i (e) Number 0 (f) Number Units J Units J Units J Units Units Units L
The figure shows a ball with mass m = 0.499 kg attached to the end of a thin rod with length L = 0.308 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. The rod is held horizontally as shown and then given enough of a downward push to cause the ball to swing down and around and just reach the vertically upward position, with zero speed there. How much work is done on the ball by the gravitational force from the initial point to (a) the lowest point, (b) the highest point, and (c) the point on the right level with the initial point? If the gravitational potential energy of the ball-Earth system is taken to be zero at the initial point, what is it when the ball reaches (d) the lowest point, (e) the highest point, and (f) the point on the right level with the initial point? (a) Number 1.51 (b) Number -1.51 (c) Number (d) Number i (e) Number 0 (f) Number Units J Units J Units J Units Units Units L
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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![The figure depicts a ball with mass \( m = 0.499 \, \text{kg} \) attached to the end of a thin rod with a length \( L = 0.308 \, \text{m} \), which has negligible mass. The other end of the rod is pivoted, allowing the ball to move in a vertical circle. Initially, the rod is held horizontally, and the ball is given a sufficient downward push so that it swings around and reaches the vertically upward position with zero speed.
The problem requires calculating the work done by the gravitational force from the initial point to various points:
1. **(a) The lowest point:**
- Work done: \[ 1.51 \, \text{J} \]
2. **(b) The highest point:**
- Work done: \[ -1.51 \, \text{J} \]
3. **(c) The point on the right level with the initial point:**
- Work done: \[ 0 \, \text{J} \]
Additionally, if the gravitational potential energy of the ball-Earth system is zero at the initial point, the potential energy is evaluated at the following positions:
4. **(d) The lowest point:**
- Value and unit need to be determined.
5. **(e) The highest point:**
- Value and unit need to be determined.
6. **(f) The point on the right level with the initial point:**
- Value and unit need to be determined.
**Diagram Explanation:**
The diagram shows a vertical circle with a rod length \( L \), where the ball starts horizontally aligned and can move to positions above and below its initial height. The ball’s path of motion is illustrated as a circular trajectory from the rod's pivot point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27af745b-6d4f-4129-9ebf-5574c17547e0%2Fe97b748f-f851-47eb-be66-90223a913377%2F06k1jg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The figure depicts a ball with mass \( m = 0.499 \, \text{kg} \) attached to the end of a thin rod with a length \( L = 0.308 \, \text{m} \), which has negligible mass. The other end of the rod is pivoted, allowing the ball to move in a vertical circle. Initially, the rod is held horizontally, and the ball is given a sufficient downward push so that it swings around and reaches the vertically upward position with zero speed.
The problem requires calculating the work done by the gravitational force from the initial point to various points:
1. **(a) The lowest point:**
- Work done: \[ 1.51 \, \text{J} \]
2. **(b) The highest point:**
- Work done: \[ -1.51 \, \text{J} \]
3. **(c) The point on the right level with the initial point:**
- Work done: \[ 0 \, \text{J} \]
Additionally, if the gravitational potential energy of the ball-Earth system is zero at the initial point, the potential energy is evaluated at the following positions:
4. **(d) The lowest point:**
- Value and unit need to be determined.
5. **(e) The highest point:**
- Value and unit need to be determined.
6. **(f) The point on the right level with the initial point:**
- Value and unit need to be determined.
**Diagram Explanation:**
The diagram shows a vertical circle with a rod length \( L \), where the ball starts horizontally aligned and can move to positions above and below its initial height. The ball’s path of motion is illustrated as a circular trajectory from the rod's pivot point.
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