Một chiếc xe đẩy có khối lượng m được đặt trên hai bánh xe, mỗi bánh gắn một lò xo có cùng độ cứng k= 200N/m Xe chạy trên đường lát bê tông, cứ 6m gặp một rãnh nhỏ. Với vận tốc thì xe bị rung mạnh nhất. Lấy = 10. Khối lượng của xe bằng
Một chiếc xe đẩy có khối lượng m được đặt trên hai bánh xe, mỗi bánh gắn một lò xo có cùng độ cứng k= 200N/m Xe chạy trên đường lát bê tông, cứ 6m gặp một rãnh nhỏ. Với vận tốc thì xe bị rung mạnh nhất. Lấy = 10. Khối lượng của xe bằng
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
- Bước 1: Tính tần số dao động riêng của hệ:
$f = \frac{v}{\lambda} = \frac{14.4 \times 1000}{3600 \times 6} = \frac{4}{6} = \frac{2}{3} Hz$
- Bước 2: Tính tần số góc:
$\omega = 2\pi f = 2\pi \times \frac{2}{3} = \frac{4\pi}{3}$
- Bước 3: Tính độ cứng tương đương của hệ (2 lò xo mắc song song):
$k_{tđ} = 2k = 2 \times 200 = 400 N/m$
- Bước 4: Sử dụng công thức tính tần số góc:
$\omega = \sqrt{\frac{k_{tđ}}{m}}$
$\Rightarrow m = \frac{k_{tđ}}{\omega^2} = \frac{400}{(\frac{4\pi}{3})^2} = \frac{400 \times 9}{16 \times \pi^2} = \frac{400 \times 9}{16 \times 10} = \frac{3600}{160} = 22.5 kg$
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My father was an enthusiastic traveller, but as he got older, he increasingly suffered from what he called “travel fever,” a vivid term for the acute anxiety felt before a journey, essentially due to uncertainty about all the things that could go wrong. Sadly, this eventually stopped him from going on holiday. Then I, too, started to suffer similar apprehension, so I consulted a psychotherapist. She recommended a small piece of cognitive behavioural therapy, which involved acknowledging the mental and physical symptoms of anxiety, but telling myself that these were essentially indistinguishable from feelings of excitement about the prospect of a journey. This reframing of my feelings has been reasonably effective – it’s one way of dealing with uncertainty.
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The word “these” in paragraph 1 refers to:
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Read the following passage about the The Importance of Social Media in Modern Society 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.
In the 21st century, social media has become a crucial element of everyday life[I]. Platforms such as Facebook, Twitter, Instagram, and TikTok link individuals around the world, [IV]. Although some may critique social media for promoting negativity, it is important to acknowledge its numerous positive effects on society[III]. This essay will delve into the importance of social media, its influence on shaping public perception, and the challenges it poses.[II]
One of the primary benefits of social media is its ability to foster communication and connection. People can maintain relationships with friends and family, regardless of geographical barriers. This aspect is particularly vital for those who live far away from loved ones. For example, a student studying abroad can easily share their experiences with family through posts, photos, and video calls. Furthermore, social media enables individuals to connect with like-minded people and build communities around shared interests or causes. Activist groups, for instance, often use social media platforms to rally support for important issues, raising awareness and mobilizing action more efficiently than traditional methods.
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Despite the challenges posed by misinformation, social media plays a significant role in shaping public opinion. People often turn to these platforms to voice their opinions and engage in discussions on various topics. For instance, political debates and social movements frequently gain traction through social media, allowing individuals to express their views and influence others. This democratization of discourse can empower marginalized voices and facilitate social change. However, it is crucial to approach online discussions critically, as echo chambers can form, reinforcing existing beliefs rather than encouraging open dialogue.
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There are already many, many people who have passed the landmark age of 100. In fact, there are now so many healthy, elderly people that there’s a name for them: the wellderly. These are people over the age of eighty who have no major illnesses, such as high blood pressure, heart disease or diabetes.
There are many scientific studies of communities where healthy old age is typical. These include places like Calabria in southern Italy and the island of Okinawa in Japan. In Calabria, the small village of Molochio has about 2,000 inhabitants. And of these, there are at least eight people over a hundred years old. When researchers ask people like this the secret of their long life, the answer is almost always about food and is almost always the same: ‘I eat a lot of fruit and vegetables.’ ‘I eat a little bit of everything.’ ‘I neither smoke nor drink.’
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