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One ball of mass m 1.4 kg is being swung in the vertical, circular path with radius of r = 2.9 m. At the instant shown, the ball is moving at a speed of v = 5.7 m/ Determine the total acceleration of the ball (in m/s²) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s².

One ball of mass m 1.4 kg is being swung in the vertical, circular path with radius of r = 2.9 m. At the instant shown, the ball is moving at a speed of v = 5.7 m/ Determine the total acceleration of the ball (in m/s²) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s².

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Question 4:** One ball of mass \( m = 1.4 \, \text{kg} \) is being swung in the vertical, circular path with a radius of \( r = 2.9 \, \text{m} \). At the instant shown, the ball is moving at a speed of \( v = 5.7 \, \text{m/s} \). Determine the total acceleration of the ball (in \( \text{m/s}^2 \)) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram shows a circle with point \( O \) as the center and point \( A \) on the circumference where the ball is located. The radius \( r \) of the circle is labeled. The ball is moving with velocity \( v \) at angle \( 45^\circ \) with respect to the horizontal line passing through point \( O \). **Input Area:** There is a text box labeled "Your Answer:" where users can input their calculated answer. --- **Note:** In calculations involving circular motion, you may need to consider both the centripetal acceleration and the gravitational component acting on the ball, given the vertical nature of the motion.
Transcribed Image Text:**Question 4:** One ball of mass \( m = 1.4 \, \text{kg} \) is being swung in the vertical, circular path with a radius of \( r = 2.9 \, \text{m} \). At the instant shown, the ball is moving at a speed of \( v = 5.7 \, \text{m/s} \). Determine the total acceleration of the ball (in \( \text{m/s}^2 \)) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram shows a circle with point \( O \) as the center and point \( A \) on the circumference where the ball is located. The radius \( r \) of the circle is labeled. The ball is moving with velocity \( v \) at angle \( 45^\circ \) with respect to the horizontal line passing through point \( O \). **Input Area:** There is a text box labeled "Your Answer:" where users can input their calculated answer. --- **Note:** In calculations involving circular motion, you may need to consider both the centripetal acceleration and the gravitational component acting on the ball, given the vertical nature of the motion.
Expert Solution
Step 1

following acceleration act on the ball

centripetal acceleration, ac=v2/ r

gravitational acceleration = g

angle between both the acceleration is 45 degrees

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