Three Point Charges

1. Three point charges are positioned as follows: q₁ is at (x₁ m, y₂ m), q₂ is at (x₂ m, y₂ m), and q₃ is at (x₂ m, y₃ m). If q₁ = b₁ μC, q₂ = b₂ μC, and q₃ = b₃ μC, what is the magnitude of the force on q₂?

x₁, y₂, x₂, y₃, b₁, b₂, and b₃ are some numbers.

Answer: 

|F(q₂)| = kq₂ ( (q₁/r₁²)²+(q₃/r₃²)² )⁰·⁵ = 
= 8.99·10⁻³ ( (b₁/(x₂-x₁)²)²+(b₃/(y₃-y₂)²)² )⁰·⁵ N

yotta, zetta, exa, peta, tera, giga, mega, kilo, hecto, deca

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How many times is it necessary to multiply the number 1 with itself to receive noticeable probability that the final result is less than 0.1?

General Physics Chapter Summaries

Ракетное нападение! Последнее предупреждение. Документальный фильм

Experimental problem for the 34th Latvian Open Physics Olympiad 2009

A Ball is Thrown...

1. A ball is thrown downward from a 40 m high building with a speed of 10 m/s. What is the vertical component of the velocity when it hits the ground? (Use gravity g = 10 m/s²)

2. A ball is thrown downward from a 40 m high building with a speed of 10 m/s. What is the horizontal component of the velocity when it hits the ground? (Use gravity g = 10 m/s²)

3. A ball is thrown downward from a 40 m high building with a speed of 10 m/s. What is the speed of the ball when it hits the ground? (Use gravity g = 10 m/s²)

4. A ball is thrown upward from a 40 m high building with a speed of 10 m/s. What is the vertical component of the velocity when it hits the ground? (Use gravity g = 10 m/s²)

5. A ball is thrown upward from a 40 m high building with a speed of 10 m/s. What is the horizontal component of the velocity when it hits the ground? (Use gravity g = 10 m/s²)

6. A ball is thrown upward from a 40 m high building with a speed of 10 m/s. What is the speed of the ball when it hits the ground? (Use gravity g = 10 m/s²)

7. A ball is thrown horizontally from a 45 m high building with a speed of 10 m/s. What is the horizontal component of the velocity when it hits the ground? (Use gravity g = 10 m/s²)

8. A ball is thrown horizontally from a 45 m high building with a speed of 10 m/s. What is the vertical component of the velocity when it hits the ground? (Use gravity g = 10 m/s²)

9. A ball is thrown horizontally from a 45 m high building with a speed of 40 m/s. What is the speed of the ball when it hits the ground? (Use gravity g = 10 m/s²)

10. A ball is thrown horizontally from a 45 m high building with a speed of 10 m/s. This building located on an aliens' planet with the gravity acceleration of 20 m/s². What is the horizontal component of the ball velocity when the ball hits the ground?

11. A ball is thrown downward from a window of a 40 m high building with a speed of 10 m/s. What is the speed of the ball when it hits the ground? (Use gravity g = 10 m/s²)

12. A ball is thrown from the roof of a 40 m high building with a speed of 10 m/s. What is the speed of the ball when it hits the ground? (Use gravity g = 10 m/s²)

13. A ball is thrown from the roof of a X₁ m high building with a speed of X₂ m/s at an angle of X₃ degree with respect to the horizontal. What is the velocity of the ball when it hits the ground? (Use gravity g = 10 m/s²)

Italy

Physics Competition 2015

Physics Competition 2015

Dear Students,

The Center for Theoretical Physics and the Physics Department invite you to participate in City Tech’s Physics Competition!

You solve physics problems. You win prize money. Last year, $700 in prize money was distributed among five students, just like you!

• The competition will consist of two rounds.
• In the first round, you will solve a set of problems at home.
• You can use books and calculators. However, you must work alone.
• You submit your solutions online through this site by uploading a file.
• The students who pass the first round will be invited to participate in the second round, which will consist of solving problems in a classroom. The winners of this round will receive prize money.

The competition is open to any enrolled City Tech student. The problems do not require knowledge of calculus.

You may pick one of two competition tracks: mechanics or electromagnetism -- or participate in both!

Good Luck!

Evaluation of your work

All work must be shown in your submission. Your solutions will be evaluated based on the work and not just the final answer.

Work Submission

To submit your work use "Submit Your Solution" menu item in the left panel.

Schedule

This year, your solutions must be submitted by April 20th, 2015, see "Important Dates" menu item for the timeline. Our solutions of the problems will be published on this web site a few days after the submisstion deadline.

The Second Round

The second round will be held n the beginning of May, 2015. Please see "Important Dartes" for more details. Only students who are selected from the first round will take part at the second round.

Contact Us

If you have any question, contact us via email: igrigorenko@citytech.cuny.edu

Main Page

Important Dates

Download Problems

Submit Your Solution

Solutions

An object is thrown horizontally