A toy cannon uses a spring to project a 5.29-g soft rubber ball. The spring is originally compressed by 4.95 cm and has a force constant of 8.02 N/m. When the cannon is fired, the ball moves 15.7 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 0 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? m/s (b) At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A toy cannon uses a spring to project a 5.29-g soft rubber ball. The spring is originally compressed by 4.95 cm and has a force constant of 8.02 N/m. When the cannon is fired, the ball moves 15.7 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.0310 N on the ball.

**Questions:**

(a) With what speed does the projectile leave the barrel of the cannon?
- Answer: ___ m/s

(b) At what point does the ball have maximum speed?
- Answer: ___ cm (from its original position)

(c) What is this maximum speed?
- Answer: ___ m/s

**Explanation:**

This problem involves concepts of physics such as energy conservation, force, and motion. You are tasked to calculate the speed as the ball exits the cannon, the point along its path where it reaches maximum speed, and what that maximum speed is. To solve these, consider factors like spring potential energy, kinetic energy, and work done against friction.
Transcribed Image Text:A toy cannon uses a spring to project a 5.29-g soft rubber ball. The spring is originally compressed by 4.95 cm and has a force constant of 8.02 N/m. When the cannon is fired, the ball moves 15.7 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.0310 N on the ball. **Questions:** (a) With what speed does the projectile leave the barrel of the cannon? - Answer: ___ m/s (b) At what point does the ball have maximum speed? - Answer: ___ cm (from its original position) (c) What is this maximum speed? - Answer: ___ m/s **Explanation:** This problem involves concepts of physics such as energy conservation, force, and motion. You are tasked to calculate the speed as the ball exits the cannon, the point along its path where it reaches maximum speed, and what that maximum speed is. To solve these, consider factors like spring potential energy, kinetic energy, and work done against friction.
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