Problems 14 - 16: A cannon is fixed to a rolling cart. The combined mass of the cannon and cart is 500 kg. A 1.0 kg cannonball is inserted into the cannon. The cannon is pushed in a straight, horizontal line until it achieves a speed of 6 m/s. The effects of air resistance and rolling resistance are negligible. 14. As the cart is rolling, the cannon is fired. The force acting on the cannonball is experimentally determined to be of the form: F(t) = A-sin(25xt) (N) where A is the amplitude of the force function. If it takes 0.02 seconds for the cannonball to exit the cannon immediately after firing, what is the impulse delivered to the cannonball ( in terms of A)?

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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**Question 15:**  
If the cannon/cart comes to rest after it is fired, what is the value of A (include units)?

*Answer 15:* __________

**Question 16:**  
What is the velocity of the center of mass of the ball/cannon/cart system after firing?

*Answer 16:* __________

(Note: There are two rectangular answer boxes provided for written responses. No graphs or diagrams accompany these questions.)
Transcribed Image Text:**Question 15:** If the cannon/cart comes to rest after it is fired, what is the value of A (include units)? *Answer 15:* __________ **Question 16:** What is the velocity of the center of mass of the ball/cannon/cart system after firing? *Answer 16:* __________ (Note: There are two rectangular answer boxes provided for written responses. No graphs or diagrams accompany these questions.)
**Problems 14 - 16:**

A cannon is fixed to a rolling cart. The combined mass of the cannon and cart is 500 kg. A 1.0 kg cannonball is inserted into the cannon. The cannon is pushed in a straight, horizontal line until it achieves a speed of 6 m/s. The effects of air resistance and rolling resistance are negligible.

**14.** As the cart is rolling, the cannon is fired. The force acting on the cannonball is experimentally determined to be of the form:

\[ F(t) = A \cdot \sin(25\pi t) \, \text{(N)} \]

where \( A \) is the amplitude of the force function. If it takes 0.02 seconds for the cannonball to exit the cannon immediately after firing, what is the impulse delivered to the cannonball (in terms of \( A \))?
Transcribed Image Text:**Problems 14 - 16:** A cannon is fixed to a rolling cart. The combined mass of the cannon and cart is 500 kg. A 1.0 kg cannonball is inserted into the cannon. The cannon is pushed in a straight, horizontal line until it achieves a speed of 6 m/s. The effects of air resistance and rolling resistance are negligible. **14.** As the cart is rolling, the cannon is fired. The force acting on the cannonball is experimentally determined to be of the form: \[ F(t) = A \cdot \sin(25\pi t) \, \text{(N)} \] where \( A \) is the amplitude of the force function. If it takes 0.02 seconds for the cannonball to exit the cannon immediately after firing, what is the impulse delivered to the cannonball (in terms of \( A \))?
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