Chapter 008: A Force That Can't Be Ignored
Applejack dreams of studying physics.
What right do you have to be lazy when you're sober?
Lan Jie went to bed at 12 o'clock last night, and fell asleep immediately with his head on the pillow, without wasting a minute.
The phone alarm set to 7 o'clock has not yet played the hellish roar of the night song forest.
At five o'clock this morning, Lan Jie woke up.
I slept for five hours, and I didn't sleep for a minute, and I survived, thankfully. ’
The morning light spills into the bedroom, paving a layer of gold. Lan Jie concentrated on studying physics, he was full of energy, and he was not sleepy at all.
Big brother physics is super satisfied, young man, you are in a good state today, and you actually found the orbital radius of the μ-sub-ground state, okay, you really can! Since you are in good shape, why don't you learn more?
"Thank you big brother for the praise, it's past seven o'clock, I'm going to school. When I get to the sheep, I'll come and see my eldest brother again!"
Lan Jie went to the sheep, he didn't drink coffee today, he drank goji berries today, he was fierce today.
The energetic mental and physical state lasted all day, and Lanjie studied from 5 a.m. to 12 p.m. in a very efficient manner.
Strike!
Ranger collapsed on the bed.
Very punctual, stable sleep at 12 o'clock.
Ooh!
Ranger leaped to his feet.
Also on time, I got up steadily at five in the morning.
After a week of continuous testing, Ranger found that he slept five hours a day enough.
If you sleep for one more minute, you'll die, the old Prague card is a hardcore artifact!
Study 13 hours a day, sleep 5 hours, and have a lot of room for the remaining 6 hours.
Yes!
Excellent!
Old Prague is superb!
After slotting the old Prague cards, Ranger quickly developed a regular routine, and every night at 12 o'clock, he could fall asleep in his chair.
At five o'clock in the morning the next day, he naturally woke up, full of energy, full of skills, and long-lasting energy could support until 12 o'clock in the evening, and so on, day after day.
At eight o'clock this evening, Lan Jie studied for 13 hours and earned a medal of honor.
Next, it's time for two people.
Ranger sent a WeChat message to Octopus Bucket: "I owe you a superhero brawl last month, and tomorrow I will give you a domestic boss who falls in love with me, about 18:22 tomorrow on the seventh floor of Zhengjia." ”
Octopus Bucket: "Not available tomorrow." ”
Ranger: "What's the matter with you after school tomorrow?"
Octopus Bucket: "Go to my grandfather's house for dinner." ”
Ranger: "Your grandfather is super busy, he seems to be partying every day?"
Octopus Bucket: "Hmm. ”
Who doesn't have a hurry?
Zhang Yutong: It's normal for her family to have something.
Lan Jie turned to another person: "About tomorrow after school fried chicken check-in, the sports center." ”
Elizabeth Sue: "Sorry, no time." ”
Ranger: "Don't give it a chance?"
Elizabeth Sue: "Really, no time." ”
Su Zihan: It's normal for her no time.
There are more than 2,000 riders in Lan Jie's friend list, and you are still afraid that you won't be able to make an appointment?
Ranger: "Do you have a ride after school tomorrow?"
Yutong: "Where did the car go?"
Ranger: "It's not a car to kindergarten anyway. ”
Yutong: "License plate number?"
Ranger:“XGC-B1-013。 ”
Yutong: "Roger." ”
I made an appointment with Yutong's car, and made reasonable arrangements for the activities after school tomorrow. Lan Jie left the faculty dormitory and went to the Yangda Natatorium to do sports.
Langer has outstanding physical fitness, all-round athleticism, and can fight amphibious. It was very comfortable to swim for more than an hour at night, the exercise was done, the amount of learning was done, the license plate number was issued, and Lanjie's perfect day came to an end.
In the early morning, the daily routine is as steady as a dog, and the physics brother has to wait.
Ranger woke up and taught himself physics for two hours, and then went to the sheep.
The first session is Tang Xiaoyun's physics class, which is refreshing, so good.
Tang Xiaoyun has a small ball in her hand, a very common experimental ball.
This kind of experimental ball is often combined with the spring group CP, which is the cheapest physical experiment prop. From kindergarten to doctoral students, this ball has accompanied us throughout our school years.
Toss the ball upwards.
Sou.
Catch the ball.
Biu。
Keep throwing the ball.
Sou.
Catch it steadily.
Biu。
Tang Xiaoyun repeatedly threw the ball and caught the ball.
The eyes of the students in the second and third classes locked on the ball.
Sou.
Rise.
Biu。
Submit.
Sou
Rise.
Biu.
Submit.
Whoosh~
Biu Biu Biu~
Lift ...... toutoutoutou......
Low, low, low...... toutoutoutou......
The painting style of ghost animals is like a kitten and a cat teasing stick.
"Close!"
Tang Xiaoyun shouted loudly, and the ball was nowhere to be seen.
Call~
The students let out a long breath, their eyes hurt a little, and their necks were a little sore.
As we all know, every action of Tang Xiaoyun, an outstanding young teacher in the city, in the classroom, whether vigorous, gentle, deliberate, casual, naughty, serious, or light, or ghostly animals, has a meaning and is a foreshadowing.
"Ignoring friction, air resistance, or even gravity, I don't like this type of question that ignores everything. In real life, these forces cannot be ignored, and in scientific laboratories or engineering applications, these forces are not only not negligible, but also important for calculation. ”
"Whether it is the college entrance examination or the competition, in recent years, the physics written test and physics experiment have become closer and closer to practical life, scientific research, and engineering applications. ”
"Let the mass of the ball be m, and throw it vertically with the initial velocity v0, and the air resistance f is equal to the square of μ times v, where μ is a constant. What is the maximum height that this ball can reach?"
As usual, after the sports on and off the ball, Tang Xiaoyun came out with a class reflection question.
Brush!
Brush!
Brush!
Four arms raised high!
Li Zihan, who had a strong desire to fight, even raised two arms.
Lan Jie smiled slightly, yo, Li Zihan's child has made a little progress?
Tang Xiaoyun gave an order: "Li Zihan, Wu Zihan, come to power, solve the problem." ”
Ranger lowered his arm and stayed on the sidelines.
In front of the blackboard, the left Zihan, the right Zihan.
The two students worked hard to write, and the solution process of the two was very similar.
They first drew the coordinate system and found the equation of motion of the ball as my·· =-mg-μv^2。
Continue to find the second-order derivative of y as vdv/dy.
The equation of motion is then rewritten as mvdv/dy=-mg-μv^2
The integration yields -y=m/2μln(mg+μv^2)+C
The initial conditions are t=0, y=0, and v=v0.
Therefore, the integral constant is C=-m/2μln(mg+uv0^2)
Ymax=m/2μlN(mg+UV0^2)/mg was obtained by substitution.
Finished.
Li Zihan and Wu Zihan looked at each other and smiled, Lao Tie, it's stable, your solution is the same as mine.
Hehe.
Hehehehehe.
Lan Jie leaned against the wall and folded his arms, leaning over in pleasure.
The second Li Zihan and Wu Zihan wrote the second-order guide of Y, Lan Jie had already made up his mind, they did it right, and they made progress.
A few weeks have passed in the blink of an eye, and Lanjie has improved, and so have others.
Professor Lan taught Ranger calculus, geometrical optics and other mathematical and physical skills.
Ranger learned a lot from his father.
Lan Jie has a father, but others don't have a father?
Since we all have fathers, let's make progress together.
Our second and third classes are getting more and more interesting, hehehe.