A 50 g bullet moving horizontally at a velocity of 400 m/s collides and embeds itself in a 25 kg block that rests on a rough horizontal surface and is attached to a spring with a spring constant of 180 N/m. The impact causes a compression of 12 cm in the spring. What is the coefficient of friction between the block and the surface?

Answers 2

The coefficient of friction between the block and the surface is determines as 0.1.

Final velocity of the block and the bullet

Apply the principle of conservation of linear momentum;

0.05(400) = v(0.05 + 25)

20 = 25.05v

v = 0.8 m/s

Coefficient of friction

Apply the principle of conservation of energy

P.E - K.E = Ux

μmgx - ¹/₂mv² = ¹/₂kx²

μ(25.05)(9.8)(0.12) - 0.5(25.05)(0.8)² = 0.5(180)(0.12)

29.459μ - 8.016 = 10.8

29.459μ = 2.784

μ = 0.1

AI generated Answer

Answer: Coefficient of friction = 0.2 Explanation: The coefficient of friction can be calculated using the equation μ = F/N, where F is the frictional force and N is the normal force. The frictional force is calculated by applying Newton's second law in the horizontal direction. F = m*a = (25 kg) * ((-180 N/m) * (0.12 m)) = -324 N The normal force is calculated by summing up the forces acting on the block in the vertical direction. N = mg - Fspring = (25 kg) * (9.8 m/s²) - (180 N/m) * (0.12 m) = 240 N Thus, the coefficient of friction is: μ = F/N = (-324 N) / (240 N) = -0.2
  • Rate an answer:

Do you know an answer? Add it here!

Can't find the answer?

Unable to find an answer to your question?

Don't worry! There are several alternative approaches you can try to resolve your query. Here are some tips to help you find answers in different ways:

  1. Reframe your question: Sometimes, the way you phrase your question can limit your search results. Try rephrasing it using different keywords or providing more context to get better results.
  2. Utilize social media: Post your question on social media platforms, particularly those focused on professional or specialized topics. Twitter, LinkedIn, and Facebook groups can connect you with individuals who may have relevant expertise or experiences to share.
  3. Consult subject matter experts: Reach out to experts in the field related to your question. Many professionals are willing to help and share their knowledge. You can connect with them through email, LinkedIn messages, or by attending relevant conferences or events.
  4. Use our website to find your question through the search box above, or you can sign up to ask your question for our big educational community. Our experts will review your question, and you will get a quick and quality answer.
  5. Collaborate with others: If your question is related to a specific project or problem, consider collaborating with others who might have complementary skills or knowledge. Teamwork can lead to innovative solutions and shared insights.

Remember, the process of finding answers often involves persistence, creativity, and an open mind. By exploring various resources, reaching out to others, and being proactive in your search, you increase your chances of finding the information you need. Happy quest for knowledge!

Login with Google

or

Forgot your password?

I don't have an account, I want to Register

Choose a language and a region
How much to ban the user?
1 hour 1 day 100 years