For this problem, use the system of the spring-Earth-block system, but do not include the wall...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
For this problem, use the system of the spring-Earth-block system, but do not include the wall or track in your system. A spring (spring constant k) is near the bottom of a frictionless loop-the-loop (radius R). The left end of the spring is secured to an immovable wall. The right end of the spring is used to launch a block (mass m) around the loop-the-loop. 1. Explain why the track does no work on the block, even though it exerts a normal force and the block is moving across its surface. 2. Explain why the wall does no work on the spring, even though the wall exerts a force on the spring while the spring is stretching back out to its equilibrium length. 3. If the block is to make it around the loop-the-loop safely, how fast must it be going at the top of the loop-the-loop? (This is a Newton's 2nd law question! Remember that this is circular motion. "Safely" means the block never loses contact with the track; you can take this to mean that the magnitude of the normal force exerted by the track on the block must be greater than zero at the top of the loop.) For this next part, assume that when the spring launches the block, the spring stops pushing the block when at its equilibrium length. That means the final potential energy of the spring is zero. 4. By what distance e do you have to compress the spring for the block to make it safely around the loop-the-loop? ("Safely" means the block never loses contact with the track; you can take this to mean that the magnitude of the normal force exerted by the track on the block must be greater than zero at the top of the loop.) Check your algebraic answer: if m = 0.5 kg, R = 2 m, and k = 400 N/m, g = 9.81 m/s, then c must be greater than about 35 cm. If you're getting 15 or 16 cm, then you're forgetting about one type of potential energy. %3D !! For this problem, use the system of the spring-Earth-block system, but do not include the wall or track in your system. A spring (spring constant k) is near the bottom of a frictionless loop-the-loop (radius R). The left end of the spring is secured to an immovable wall. The right end of the spring is used to launch a block (mass m) around the loop-the-loop. 1. Explain why the track does no work on the block, even though it exerts a normal force and the block is moving across its surface. 2. Explain why the wall does no work on the spring, even though the wall exerts a force on the spring while the spring is stretching back out to its equilibrium length. 3. If the block is to make it around the loop-the-loop safely, how fast must it be going at the top of the loop-the-loop? (This is a Newton's 2nd law question! Remember that this is circular motion. "Safely" means the block never loses contact with the track; you can take this to mean that the magnitude of the normal force exerted by the track on the block must be greater than zero at the top of the loop.) For this next part, assume that when the spring launches the block, the spring stops pushing the block when at its equilibrium length. That means the final potential energy of the spring is zero. 4. By what distance e do you have to compress the spring for the block to make it safely around the loop-the-loop? ("Safely" means the block never loses contact with the track; you can take this to mean that the magnitude of the normal force exerted by the track on the block must be greater than zero at the top of the loop.) Check your algebraic answer: if m = 0.5 kg, R = 2 m, and k = 400 N/m, g = 9.81 m/s, then c must be greater than about 35 cm. If you're getting 15 or 16 cm, then you're forgetting about one type of potential energy. %3D !!
Expert Answer:
Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Posted Date:
Students also viewed these physics questions
-
Explain why a constant magnetic field does no work on a point charge moving through the field. Since the field does no work, what can we say about the speed of a point charge acted on only by a...
-
1. Please explain the concept of depreciation in your own words and discuss why it is important. Wouldn't it make more sense for companies to fully expense fixed assets in the year of purchase rather...
-
Tell It to the Judge. (a) How fast must you be approaching a red traffic light ( = 615 nm) for it to appear yellow ( = 575 nm)? Express your answer in terms of the speed of light (b) If you used this...
-
This is similar to Section 2.2 Problem 28: Use algebraic simplifications to find the limit. Use a fraction. 2x-6 lim x+3x-9 =
-
What is the age distribution of adult shoplifters (21 years of age or older) in supermarkets? The following is based on information taken from the National Retail Federation. A random sample of 895...
-
Duval Co. issues four- year bonds with a $ 100,000 par value on June 1, 2013, at a price of $ 95,948. The annual contract rate is 7%, and interest is paid semiannually on November 30 and May 31. 1....
-
The wreck of the S.S. Central America waited 130 years at the bottom of the ocean for someone to come along and claim its trove of gold. Thomas G. Thompson, funded by a multitude of investors, was...
-
Paulson's Pet Store completed the work sheet on page 600 for the year ended December 31, 20--. Owner's equity as of January 1, 20--, was $21,900. The current portion of Mortgage Payable is $500....
-
25 25 What is the output of the following code? [ (5 Puan) public class MyClass{ private static int x; public MyClass (int x) ( } this.x x; public static void printX() { ) System.out.println(x);...
-
Compute the Howells' tax liability for the year (ignoring the alternative minimum tax and any phase-out provisions) assuming they file a joint return, they have no dependents, they don't make any...
-
Introduction The Industrial Revolution was a period of change and innovation1 for the economy and society of much of the world. It began in Great Britain in the late 1700s, when people began using...
-
In your opinion, what strengths does servant leadership offer that can guide an organization? How do you perceive the level of devotion that this leadership theory and approach call for? Is this an...
-
Can you compare a very basic SQL select statement to MongoDB syntax to see if they are doing the same thing?
-
What video(s) did you watch? What was the most interesting and/or valuable thing you learned? As a manager, how could/would you apply what you learned from the talk(s) in the workplace?...
-
What is the output of the following code? class Person { public: Person() { name = "John"; } void SetName(string n) {name = n; } void PrintName() const { cout < < name < < " "; } private: string...
-
Elon Musk is known for his unique leadership style and strategy. Twitter , Inc . was an American social media company based in San Francisco, California, and now is X Corp. What do you think is Elon...
-
What is the progression of activities a company undertakes to create a product or service that consumers will pay for? Value chain Matrix proficiency Patterned advance Jackpot
-
Suppose you won a financial literacy competition and are given FJS10000 to invest, with the condition that investment can be done either in, i) Invest in Unit trust of Fiji or Invest in Fijian...
-
An incident photon of wavelength 0.0100 nm is Compton scattered; the scattered photon has a wavelength of 0.0124 nm. What is the change in kinetic energy of the electron that scattered the photon?
-
A long, narrow steel rod of length 2.5000 m at 25 C is oscillating as a pendulum about a horizontal axis through one end. If the temperature changes to 0 C, what will be the fractional change in its...
-
The mass of a flywheel is 5.6 104 kg. This particular flywheel has its mass concentrated at the rim of the wheel. If the radius of the wheel is 2.6 m and it is rotating at 350 rpm, what is the...
-
Identify and describe the skills needed to develop a team.
-
What are the requirements for managing a team successfully?
-
Identify and briefly describe the problems associated with creating and managing a team.
Study smarter with the SolutionInn App