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A recently patented pile driver pounds piles into the ground by launching 15 kg bowling balls from a spring loaded gun, up around a frictionless loop-de-loop of radius r= 8 m, and down onto the pile. When the spring is compressed by As = 2 m, the bowling balls have a speed of 20 m/s at the top of the loop, as shown. (You may assume g = 10 m/s2.) v = 20 m/s T=8m Find the work done by the frictionless track on a bowling ball as it goes from the gun to the top of the loop. k=? As = 2 m pile

A recently patented pile driver pounds piles into the ground by launching 15 kg bowling balls from a spring loaded gun, up around a frictionless loop-de-loop of radius r= 8 m, and down onto the pile. When the spring is compressed by As = 2 m, the bowling balls have a speed of 20 m/s at the top of the loop, as shown. (You may assume g = 10 m/s2.) v = 20 m/s T=8m Find the work done by the frictionless track on a bowling ball as it goes from the gun to the top of the loop. k=? As = 2 m pile

College Physics
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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**Problem Description:** A recently patented pile driver pounds piles into the ground by launching 15 kg bowling balls from a spring-loaded gun, up around a frictionless loop-de-loop of radius \( r = 8 \, \text{m} \), and down onto the pile. When the spring is compressed by \( \Delta s = 2 \, \text{m} \), the bowling balls have a speed of 20 m/s at the top of the loop, as shown. (You may assume \( g = 10 \, \text{m/s}^2 \).) **Task:** Find the work done by the frictionless track on a bowling ball as it goes from the gun to the top of the loop. **Choices:** A) Zero B) 100 Nm C) 10 Nm D) 150 Nm E) 300 Nm **Diagram Explanation:** The diagram shows a vertical loop with radius \( r = 8 \, \text{m} \). A bowling ball is positioned at the top of the loop, moving with a velocity of 20 m/s. At the bottom, a spring with an unknown constant \( k \) is compressed by \( \Delta s = 2 \, \text{m} \), launching the bowling ball upwards. The diagram illustrates the path of the bowling ball and its interactions with the spring and the loop. The loop is defined as frictionless, indicating no energy loss as the ball moves along it.
Transcribed Image Text:**Problem Description:** A recently patented pile driver pounds piles into the ground by launching 15 kg bowling balls from a spring-loaded gun, up around a frictionless loop-de-loop of radius \( r = 8 \, \text{m} \), and down onto the pile. When the spring is compressed by \( \Delta s = 2 \, \text{m} \), the bowling balls have a speed of 20 m/s at the top of the loop, as shown. (You may assume \( g = 10 \, \text{m/s}^2 \).) **Task:** Find the work done by the frictionless track on a bowling ball as it goes from the gun to the top of the loop. **Choices:** A) Zero B) 100 Nm C) 10 Nm D) 150 Nm E) 300 Nm **Diagram Explanation:** The diagram shows a vertical loop with radius \( r = 8 \, \text{m} \). A bowling ball is positioned at the top of the loop, moving with a velocity of 20 m/s. At the bottom, a spring with an unknown constant \( k \) is compressed by \( \Delta s = 2 \, \text{m} \), launching the bowling ball upwards. The diagram illustrates the path of the bowling ball and its interactions with the spring and the loop. The loop is defined as frictionless, indicating no energy loss as the ball moves along it.
Expert Solution
Step 1

(given)

Mass of bowling balls = 15 kg

                    Radius (r) = 8 m

   By compressing, ∆s = 2 m

Speed of bowling balls at the top of the loop is 20 m/s

Acceleration due to gravity is 10 m/s2  

 

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