Một con lắc lò xo treo thẳng đứng dao động điều hòa. Chu kỳ và biên độ dao động của con lắc lần lượt là 0,4 và 4\(\sqrt 2 \) cm. Lấy gia tốc trọng trường g =10 m/s2 và π2 = 10 . Thời gian ngắn nhất từ khi lực đàn hồi của lò xo có độ lớn cực đại đến khi lực đàn hồi có độ lớn cực tiểu là
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Từ T = 0,4s ta tìm được độ dãn ban đầu của lò xo.
Tần số góc:
\(\begin{array}{l}
\omega = \frac{{2\pi }}{T} = \sqrt {\frac{g}{{\Delta {l_0}}}} \\
\Rightarrow \frac{{2\pi }}{{0,4}} = \sqrt {\frac{g}{{\Delta {l_0}}}} \\
\Rightarrow \Delta {l_0} = 0,04m = 4cm
\end{array}\)
Độ dãn cực đại của lò xo là (A + ∆l0) ứng với biên dương, khi đó lực đàn hồi cực đại. (Chọn trục Ox hướng xuống dưới)
Khi lò xo ở vị trí không dãn thì lực đàn hồi cực tiểu và bằng 0. Sử dụng giản đồ vecto tìm thời gian vật đi từ biên dương đến bị trí - ∆l0
Ta có : \(\varphi = \frac{\pi }{2} + \arccos \frac{{\Delta {l_0}}}{A} = \frac{\pi }{2} + \frac{\pi }{4} = \frac{{3\pi }}{4}\)
Thời gian : \(t = \frac{\varphi }{{2\pi }}.T = \frac{{\frac{{3\pi }}{4}}}{{2\pi }}.0,4 = 0,15s\)
Chọn B.
Tài liệu "Bộ Đề Kiểm Tra Giữa Học Kì I - Năm Học 2023-2024 - Vật Lí 11" tổng hợp các đề kiểm tra từ nhiều trường THPT trên toàn quốc, được biên soạn bám sát chương trình học. Đề thi bao gồm các dạng bài trắc nghiệm và tự luận, tập trung vào các chủ đề: động học chất điểm, các định luật Newton, công và công suất, và các dạng năng lượng cơ bản. Tài liệu giúp học sinh củng cố kiến thức, rèn luyện kỹ năng giải bài tập và chuẩn bị tốt cho kỳ kiểm tra giữa học kỳ I.
Câu hỏi liên quan
Mark the letter A, B, C or D on your answer sheet to indicate the best arrangement of utterances or sentences to make a meaningful exchange or text in each of the following questions from 13 to 17.
a. Cultivating a reading habit not only enhances our knowledge but also fosters empathy, making it a rewarding activity for everyone.
b. Reading is a wonderful escape that opens doors to new worlds and ideas.
c. In our fast-paced digital age, taking time to read can provide a much-needed break, allowing us to relax and reflect.
d. A good book can transport us to different cultures, introduce us to unforgettable characters, and spark our imagination.
e. Whether it's a thrilling novel or an insightful non-fiction, each story enriches our understanding of life.
“Thấy nhạc: Thưa ngài, đáng lẽ ngài phải học âm nhạc, cũng như ngài đang học khiêu vũ. Đó là hai ngành nghệ thuật có liên quan chặt chẽ với nhau.
Thầy múa: Và nó mở mang trí não cho con người hiểu biết những cái đẹp.
Ông Giuốc-đanh: Thế những người sang trọng cũng có học âm nhạc chứ?
Thầy nhạc: Thưa ngài có chứ.
Ông Giuốc-đanh: Thế thì tôi sẽ học. Nhưng tôi không biết tôi có thể học vào thì giờ nào vì, ngoài thầy dạy kiếm thuật đến chỉ dẫn cho tôi, tôi lại còn mướn một thầy dạy triết lý, sáng hôm nay bắt đầu đây.”
(Mô-li-e, Trưởng giả học làm sang)
Đoạn đối thoại trên cho thấy mục đích chính khiến ông Giuốc-đanh học âm nhạc là gì?
Read the following passage about the CULTURAL DIVERSITY and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
[I] Belgium features a fascinating mix of ancient traditions and contemporary legislation, showcasing the country’s rich history. [II]. In Belgium, the families of the bride and groom each pitch in by providing a sheet of paper for the wedding invitations, in line with a long-standing tradition. [III] The wedding invitations symbolize the new partnership and the merging of the two families. [IV]
In an old Belgian tradition meant to bring the two families closer together, the bride would pause halfway down the aisle to give her mother a solitary flower. They hold each other's arms. The newlyweds then make their way to the groom's mother-in-law during the recessional, where the bride presents her with a solitary flower as a token of her affection. As a sign of the bride's acceptance of her new mother, they embrace.
Carrying a uniquely embroidered handkerchief bearing the bride's name is one of the most significant and long-standing customs of the Belgian wedding. This handkerchief will be framed and displayed in a special spot after the wedding. Before each subsequent female member of the bride's family is married, the handkerchief is taken out of its frame, embroidered with the name of the new bride, and then passed down through the generations. A bridal handkerchief is a treasured memento that is passed down through the generations.
There are two big chairs placed near the altar where the bride and groom sit during the wedding mass, representing their throne as king and queen for the day and the location. As the ceremony comes to a close, the groom places the wedding ring on the third finger of the bride's left hand. Because it is a circle, the ring represents love that knows no bounds, and the third finger of the left hand represents love because it is thought to hold the vein that goes to the heart. Soon after the wedding, the newlyweds kiss for the first time as husband and wife. Because each partner takes a breath of their new spouse's spirit, the kiss is a metaphor for the couple's spiritual union.
Traditionally, as the bride and husband leave the church, the bridesmaids gather a handful of pennies and then scatter them among the less fortunate outside. The happy couple might increase their chances of financial success by donating to charity.
A honeymoon is for the newlyweds after the wedding. Honey wine, or mead, was traditionally drunk during the 28-day honeymoon, which corresponds to one lunar cycle, in ancient times. The purpose of this was to prevent the bride's relatives from attempting to reclaim their daughter from her husband.
The phrase“pitch in” in paragraph 1 could be best replaced by________.
Bước nào sau đây đề xuất số lượng tối đa các giải pháp có thể, bám sát với yêu cầu, tiêu chí đã nêu?
Sự hấp thụ ion khoáng thụ động của tế bào rễ cây phụ thuộc vào yếu tố nào?
Đâu là ý đúng nhất: Sản phẩm được cho của ngành giao thông vận tải là?
Parabol \(y = a{x^2} + bx + c\) đi qua A(0;-1), B(1;-1), C(-1;1) có phương trình là:
Trong mặt phẳng toạ độ \(Oxy\), cho ba điểm \(A(2;4),B(0; - 2),C(5;3)\). Đường thẳng đi qua điểm \(A\) và song song với đường thẳng \(BC\) có phương trình là?
Hai cậu bé cùng bắn bi vào lỗ. Xác suất người thứ nhất bắn trúng vào lỗ là \(85 \%\), xác suất người thứ hai bắn trúng vào lỗ là \(70 \%\). Hỏi xác suất để cả hai người cùng bắn trúng vào lỗ:
Phương án nào sau đây là ưu điểm của cơ chế thị trường?
Read the following passage about the future of energy and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions.
[I] As the world grapples with the finite nature of fossil fuel reserves and the detrimental impact of climate change, the future of energy undeniably lies in renewable sources. [II] Scientists and engineers are making substantial advancements in the development of technologies that more efficiently harness solar, wind, hydro, and geothermal energy. [III] Although the transition to these renewable sources presents significant challenges, it is also regarded as a pivotal step towards establishing a sustainable and resilient energy system. [IV]
One of the most promising advancements in renewable energy is the enhancement of solar panel efficiency. Progress in photovoltaic technology has led to the creation of panels that convert a higher proportion of sunlight into electricity. Likewise, wind turbines are becoming more and more efficient. They are capable of generating power even under low-wind conditions. These innovations are essential for making renewable energy more feasible and accessible to a broader population.
However, the transition to renewable energy is fraught with obstacles. The intermittent nature of sources like solar and wind necessitates reliable storage solutions to ensure a consistent power supply. Although battery technology has seen significant improvements, further advancements are imperative to meet growing demand. Moreover, new infrastructure for distributing renewable energy requires expansion and upgrading to accommodate these new power sources.
The economic impact of transitioning to renewable energy is another critical consideration. While the initial investment in renewable energy infrastructure can be substantial, the long-term benefits include reduced energy costs and job creation in the green energy sector. Governments and private enterprises are increasingly acknowledging the necessity of investing in renewable energy projects, which is crucial for fostering innovation and diminishing reliance on fossil fuels.
Ultimately, the future of energy hinges on our capacity to innovate and adapt. By continuing to invest in research and development, improving infrastructure, and addressing economic and technical challenges, we can transition towards a more sustainable and environmentally friendly energy system.
The phrase harness in paragraph 1 could be best replaced by _______.
Trên mặt phẳng tọa độ Oxy, tiếp tuyến của đồ thị hàm số \(y={{x}^{3}}+3{{x}^{2}}-6x+1\) tại điểm có hoành độ bẳng 1 và cắt hai trục tọa độ tại A, B. Tính diện tích tam giác OAB.
(nhập đáp án vào ô trống, kết quả làm tròn đến chữ số thập phân thứ hai).
Trong mặt phẳng toạ độ \(Oxy\), cho tam giác \(ABC\) có \(A( - 1; - 5),B(5;2)\) và trọng tâm là gốc toạ độ. Toạ độ điểm \(C\) là?
Địa lí cung cấp kiến thức, cơ sở khoa học và thực tiễn về các yếu tố gì?
Nhận định nào dưới đây bàn về nghĩa vụ của công dân đối với ngân sách của nhà nước?
Dị hóa ở vi sinh vật là quá trình như thế nào?1.html
Read the following passage about wildlife conservation and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
[I] Wildlife conservation refers to the efforts made to protect and preserve wild animal species and their habitats. [II] It is crucial for maintaining biodiversity, which plays a vital role in ecosystem stability and health (Smith & Jones, 2018). [III] Unfortunately, many species are threatened due to habitat destruction, poaching, and climate change, making conservation efforts more urgent than ever. [IV]
One of the primary reasons for wildlife conservation is the preservation of biodiversity. A diverse range of species contributes to ecosystem services, such as pollination, water purification, and climate regulation. The loss of a single species can disrupt these services and lead to ecological imbalances. For instance, the decline of pollinators like bees has serious implications for food production and agriculture (Global Biodiversity Outlook, 2020).
Moreover, wildlife conservation has significant economic benefits. Many communities depend on ecotourism, which relies on healthy wildlife populations and intact ecosystems. According to a study by the World Wildlife Fund (WWF), ecotourism can generate billions of dollars in revenue, providing jobs and supporting local economies (WWF, 2021). Protecting wildlife not only safeguards natural resources but also creates sustainable livelihoods for local populations.
However, effective wildlife conservation requires a collaborative approach. Governments, non-governmental organizations, and local communities must work together to implement policies and strategies that promote conservation efforts. Community-based conservation initiatives, where local people actively participate in protecting their natural resources, have shown promising results. These initiatives empower communities and ensure that conservation efforts are tailored to local needs and contexts (Bennett & Dearden, 2014).
Which of the following can be inferred from the passage?
Read the following passage about lifelong learning and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
[I] Lifelong learning is the ongoing, voluntary, and self-motivated pursuit of knowledge for personal or professional development (Knowles, 2020). [II] This concept emphasizes that learning does not stop after formal education, but rather continues throughout an individual's life, adapting to changing circumstances and needs. [III] In today’s fast-paced world, where technology and job markets evolve rapidly, lifelong learning has become increasingly essential. [IV]
One of the primary benefits of lifelong learning is its ability to enhance employability. Individuals who engage in continuous education are more likely to keep their skills relevant and competitive in the job market. According to a report by the World Economic Forum (2021), over 50% of employees will need reskilling due to technological advancements in the coming years. Lifelong learners are better equipped to adapt to these changes, making them more attractive candidates for employers.
Moreover, lifelong learning contributes to personal fulfillment and mental well-being. Engaging in new learning experiences can stimulate the brain, foster creativity, and improve cognitive function. Research indicates that individuals who pursue learning opportunities throughout their lives tend to report higher levels of happiness and life satisfaction (Smith & Johnson, 2019). Whether it is taking a course, learning a new language, or picking up a new hobby, the process of acquiring knowledge can be enriching and enjoyable.
In addition, lifelong learning promotes social engagement and community involvement. Participating in educational programs or community workshops can foster connections with others who share similar interests. This social aspect of learning can enhance one's sense of belonging and support networks, which are crucial for mental health (Jones, 2022).
Overall, lifelong learning is not just an individual responsibility; it requires support from educational institutions, employers, and communities to create an environment conducive to continuous education. By fostering a culture of learning, society can better prepare individuals for the challenges of the future and ensure that everyone has the opportunity to thrive.
Which of the following best summarizes the passage?
Cho các phương trình nhiệt hóa học sau:
1) CaCO3(s) → CaO(s) + CO2(g) \({{\Delta }_{r}}H_{298}^{0} = + 176,0\,kJ\)
(2) CH4(g) + 2O2(g) → CO2(g) + 2H2O(l) \({{\Delta }_{r}}H_{298}^{0} = - 890,0\,kJ\)
(3) C(graphite) + O2 (g) → CO2 (g) \({{\Delta }_{r}}H_{298}^{0} = - 393,5\,kJ\)
(4) Fe2O3(s) + 2Al(s) → Al2O3(s) + 2Fe(s) \({{\Delta }_{r}}H_{298}^{0} = - 851,5\,kJ\)
Số phản ứng thu nhiệt trong các phản ứng trên là
Read the passage and mark the letter A, B, C or D to answer the following questions.
Volunteering offers many of the same social benefits, with the added bonus of helping others and developing useful skills to put on your CV. Plus, students are in a unique position to help, suggests Tom Fox. "They can take their enthusiasm and excitement for opportunities and share their passions, subject knowledge and experience with people." The idea of giving up time for nothing might seem impractical at first, especially once the pressures of study and coursework or exams begin to mount up. However, Michelle Wright, CEO of charity support organization Cause4, suggests seeing volunteering as a two-way street. "I think it is fine for undergraduates to approach volunteering as a symbiotic relationship where doing good is just one part of the motivation for reaching personal and professional goals."
Katerina Rudiger, head of skills and policy campaigns at the Chartered Institute of Personnel and Development (CIPD), says: "Volunteering can be a valuable way of gaining that experience, as well as building confidence, broadening your horizons, becoming a better team player and developing those all- important 'employability skills' such as communication and decision making." Amanda Haig, graduate HR manager, agrees that volunteering can help your employment prospects. "Volunteering can demonstrate positive personality traits and skill sets, such as proactivity, and teamwork," she says.
A positive side-effect of volunteering is improving your time at university by getting involved in the local community. Leaving the student bubble can make your time as an undergraduate much more varied. At Bath Spa University, more than 1,000 students volunteered over the past year, doing everything from working on local environmental projects to helping in schools or assisting the elderly. ”Quite often there can be a divide between students and permanent residents," says students' union president Amy Dawson, "but if students invest a little time now, they will be giving something back to the local community and will reap the benefits in the future."
“You might also find that volunteering helps your studies if you choose the right program. At Lancaster, volunteering is linked into academic modules in some cases", explains Fox. "This has multiple wins. Students get to apply their learning in the classroom and share their interests with children in local schools or community organizations, while schools gain skilled students with a passion for a subject that enthuses their pupils."What does the word “side-effect” mean?