Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Physics 8.012: Problem Set 4 - Mechanics I, Exercises of Classical Physics

University of AllahabadClassical Physics

A problem set from mit's physics 8.012: mechanics i course, fall term 2008. It includes collaboration policies, reading material, and several problems with points assigned. Problems range from elastic collisions, potential energy, and escape velocity.

Typology: Exercises

2011/2012

Uploaded on 08/12/2012

lalitchndra
lalitchndra 🇮🇳

4.5

(12)

146 documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
Physics 8.012: Physics (Mechanics) I Fall Term 2008
PROBLEM SET 4
Collaboration policy: You are encouraged to freely discuss homework problems with other 8.012
students and teaching staff. However, you must write up your solutions completely on your
own—do not simply copy solutions from other students. You are forbidden from consulting
solutions from previous years or from the web. Violations of this policy may result in
disciplinary action.
Reading: Kleppner & Kolenkow, Chapters 3 & 4
0. Collaboration and discussion. Please list the names of all the students with whom you
discussed these homework problems.
1. Kleppner & Kolenkow, Problem 3.7 [10 points]
2. Kleppner & Kolenkow, Problem 3.11 [10 points]
3. Kleppner & Kolenkow, Problem 3.13 [10 points]
4. Kleppner & Kolenkow, Problem 3.14 [10 points]
5. Kleppner & Kolenkow, Problem 3.15 [10 points]
6. Kleppner & Kolenkow, Problem 3.16 [5 points]
7. Kleppner & Kolenkow, Problem 3.18 [10 points]
8. Kleppner & Kolenkow, Problem 3.20 [10 points]
Continued on next page...
docsity.com
pf2

Partial preview of the text

Download Physics 8.012: Problem Set 4 - Mechanics I and more Exercises Classical Physics in PDF only on Docsity!

MASSACHUSETTS INSTITUTE OF TECHNOLOGY

Department of Physics Physics 8.012: Physics (Mechanics) I Fall Term 2008 PROBLEM SET 4 Collaboration policy: You are encouraged to freely discuss homework problems with other 8. students and teaching staff. However, you must write up your solutions completely on your own—do not simply copy solutions from other students. You are forbidden from consulting solutions from previous years or from the web. Violations of this policy may result in disciplinary action. Reading: Kleppner & Kolenkow, Chapters 3 & 4

  1. Collaboration and discussion. Please list the names of all the students with whom you discussed these homework problems.
  2. Kleppner & Kolenkow, Problem 3.7 [10 points]
  3. Kleppner & Kolenkow, Problem 3.11 [10 points]
  4. Kleppner & Kolenkow, Problem 3.13 [10 points]
  5. Kleppner & Kolenkow, Problem 3.14 [10 points]
  6. Kleppner & Kolenkow, Problem 3.15 [10 points]
  7. Kleppner & Kolenkow, Problem 3.16 [5 points]
  8. Kleppner & Kolenkow, Problem 3.18 [10 points]
  9. Kleppner & Kolenkow, Problem 3.20 [10 points] Continued on next page...

docsity.com

  1. The super-astro-blaster. [15 points] In class we demonstrated how the astroblaster (a set of elastic bouncing balls released from rest and rebounding from the floor) can launch the smallest and topmost ball to considerable distance. Let’s push this to the test. Assume we have n balls of mass (left figure above) m 1 , m 2 , m 3 , ..., mn where m 1 >> m 2 >> m 3 >> ... > mn. The most massive ball is at bottom and starts at rest at a height H = 1 meter above the ground. Assume that all balls bounce elastically, that constant gravitational acceleration �g points downward, and that air resistance and realistic limits in the elasticity of the balls can be ignored. (a) (10 points) In terms of n, to what height does the top ball bounce? How many balls do you need to reach 1 kilometer? (b) (5 points) How many balls do you need to achieve escape velocity? You will need to determine an expression for escape velocity from the Earth, which is possible (to within an order of magnitude) through dimensional analysis.
  2. A falling chain. [10 points] You hold a chain of mass M, length L and uniform mass density λ from one end above a fixed table (right figure above). The chain falls under constant gravitational acceleration. Ignore any swinging or bouncing in the chain and assume that it moves purely in a vertical direction until it comes to rest hanging straight down below the table. (10 points) What is the support force from the table, FS , as a function of time after the chain is released?

docsity.com