Question

A toy cannon uses a spring to project a 5.30 g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the cannon is fired, the ball moves 15.0 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 N on the ball. b) At what point does the ball have maximum speed? c) What is this maximum speed?

Name: a toy cannon uses a spring to project a 530 g soft rubber ball the spring is originally compressed by 500 cm and has a force constant of 800 nm when the cannon is fired the ball moves 150 cm 18373
Uploaded: 2022-07-27T05:43:03-08:00
Duration: 3 min 1 s
Channel: Prabhu Ramji
Description: a toy cannon uses a spring to project a 530 g soft rubber ball the spring is originally compressed by 500 cm and has a force constant of 800 nm when the cannon is fired the ball moves 150 cm 18373

          A toy cannon uses a spring to project a 5.30 g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the cannon is fired, the ball moves 15.0 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 N on the ball.

b) At what point does the ball have maximum speed?
c) What is this maximum speed?

Added by Alan R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhu Ramji

07/27/2022

Step 1

Given: Spring constant, k = 8.00 N/m Initial compression, x₀ = 0.05 m The work done by the spring force is given by: \( W_{\text{spring}} = \frac{1}{2} k x_{0}^{2} \) Substitute the values: \( W_{\text{spring}} = \frac{1}{2} \times 8.00 \, \text{N/m} \times Show more…

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A toy cannon uses a spring to project a 5.30 g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the cannon is fired, the ball moves 15.0 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 N on the ball. b) At what point does the ball have maximum speed? c) What is this maximum speed?