Work and Energy

A 0.62 kg wood block is firmly attached to a very light horizontal spring (k=180 N/m). it is noted that the block-spring system, when compressed 5cm and released, stretches out 2.3cm beyond the equilibrium position before stopping and turning back. what is the coefficient of kinetic friction between the block and the floor?

Note by Jon-jon Castro
7 years, 8 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

kindly answer please.. need some expert.. thanks a lot..

Jon-jon Castro - 7 years, 8 months ago

the potential energy stored in the spring block system at the initial stage will be 1/2kx^2 and this energy will be dissipated against the friction when its being released from the compressed configuration By energy conservation we get 1/2kx^2=U(kinetic) [since its not static} mg*(x+2.3) where x=5cm. solving we get u(kinetic)= 0.5073

Ramesh Goenka - 7 years, 8 months ago

Log in to reply

thank you so much..

Jon-jon Castro - 7 years, 8 months ago
×

Problem Loading...

Note Loading...

Set Loading...