My Imperial Advisor is ChatGPT

South of Xianyang City, the Imperial Academy of Qin, Department of Basic Mechanics.

This place was originally a stable used to store abandoned chariots, but it was later transformed into the most dangerous place besides the chemical laboratory. The danger wasn't because it could explode, but because it housed a humanoid beast that could go berserk at any moment—Xiang Yu.

The afternoon sun shone through the glass windows onto the desks, and the air was filled with the smell of chalk dust.

"Click."

A sharp crack broke the silence of the classroom.

On the podium, Wang Jianguo, who was drawing a force analysis diagram on the blackboard, trembled slightly and looked back.

In the last row of the classroom, a burly man with a towering frame held a specially made, thickened calligraphy brush broken in two. Ink dripped down his arm, which was thicker than an average person's thigh, onto the disastrous exam paper in front of him.

Xiang Yu's face was flushed red, and the veins on his forehead throbbed like earthworms.

This expression had never appeared when he tore tigers and leopards apart on the battlefield, nor when he was surrounded by dozens of enemy soldiers, but it appeared precisely when he was faced with a physics problem.

"What's wrong, Xiang?" Wang Jianguo pushed up his glasses, trying hard to suppress a laugh.

"This...this pen is too brittle!" Xiang Yu slammed the broken pen on the table, making the ink bottle next to him bounce three times. "And this question is so unfair! What does 'a wooden block of mass m slides down an inclined plane with a coefficient of friction μ' even mean? Why does it have to slide down? Can't it just stay still? And this μ, it looks like an earthworm, it's so annoying to look at!"

Han Xin, sitting in front of Xiang Yu, turned around and looked at him with the disdainful gaze one might give a single-celled organism, saying coolly, "General Xiang, this is for calculating friction. If you can't even figure this out, how will you command the Iron Pagoda to charge in the future? Are you going to shout it out?"

"Han Xin, you're courting death!" Xiang Yu roared, leaping to his feet with a groan as the stool creaked. "I lead my troops on momentum! On unwavering courage! What's friction? One strike of my halberd can cleave a mountain in two! Who cares about slopes or anything like that!"

"sit down!"

A dignified, low shout came from the doorway.

Ying Zheng, dressed in plain clothes, walked in, followed by Zhao Gao.

"Your Majesty!" The crowd quickly bowed.

Ying Zheng waved his hand, gesturing for everyone to sit down. He walked up to Xiang Yu, looked at the exam paper covered in ink blots, and frowned slightly.

"Xiang Ji, I sent you here to attend a lecture, not to demolish buildings." Ying Zheng picked up the exam paper. "I heard you've been quite the big shot in the cavalry camp lately, saying these 'scribbles' are just something weak scholars use to fool people, and that real men never learn them?"

Xiang Yu stiffened his neck, not daring to contradict the First Emperor, but his eyes were full of defiance: "Your Majesty, I am a rough man. I think the battlefield is ever-changing. When the enemy attacks, am I supposed to first take out an abacus to calculate how heavy his blade is and what the angle is? By the time I finish calculating, my head will already be gone!"

"Well said." Ying Zheng actually nodded. "Jianguo, what do you think?"

Wang Jianguo put down the chalk and wiped the dust off his hands.

"General Xiang is right, there's really no time for calculations on the battlefield." Wang Jianguo walked up to Xiang Yu. Though only as tall as Xiang Yu's chest, his imposing presence was in no way inferior. "But, General Xiang, have you ever thought about why some people, despite their great strength, cannot inflict maximum damage? And why some people, though small in strength, can deflect a thousand pounds with four ounces of force?"

"That's skill! That's martial arts!" Xiang Yu argued.

"No." Wang Jianguo shook his finger. "That's physics. The essence of martial arts is the ultimate application of human biomechanics. You're fighting based on instinct right now, like a beggar with a golden bowl begging for food. You possess unparalleled strength, but your output efficiency is probably less than 50%."

Xiang Yu laughed in anger: "Fifty percent? I am as strong as an axe, and you're saying I only used fifty percent of my strength?"

"Don't believe me?" Wang Jianguo pointed to the playground. "Then let's have a competition. Not martial arts, just strength. If you win, you won't have to take this class anymore, and I'll give you a graduation certificate."

"Great!" Xiang Yu's eyes lit up. "What will we compete in? Lifting a tripod? Wrestling?"

"No." Wang Jianguo pulled out a set of pulleys and ropes from under the podium. "Let's have a tug-of-war. You alone can pull the whole class."

On the playground, a thick hemp rope lay across the middle.

On one side was Xiang Yu. He had taken off his outer robe, revealing his bare upper body, his muscles sculpted like granite, glistening in the sunlight. He casually wrapped a rope around his waist, his feet planted firmly on the ground, a contemptuous smile on his face.

"Just you guys?" Xiang Yu looked at the person opposite him.

Opposite them were Wang Jianguo, Han Xin, Zhao Gao (who had been conscripted), and a dozen or so weak scholars (academician interns).

"Ready—" Ying Zheng himself acted as referee.

"start!"

Xiang Yu suddenly exerted his strength!

"drink!"

With a roar, a gust of wind swept across the ground. The ground beneath Xiang Yu's feet instantly cracked, sending dirt flying. He was confident that with this pull, the group of oddballs opposite him would fly over like kites.

however.

The rope taut, making a teeth-grinding "crunch".

But Xiang Yu did not feel the weight he had expected. Instead, he felt as if he were pulling a mountain.

On the other side, Wang Jianguo and the others did not line up like in a tug-of-war, but each of them held a thin rope in their hand, and these thin ropes converged on a strange device - a movable pulley system.

The pulleys were fixed to a thousand-year-old locust tree on the edge of the playground, and the ropes shuttled back and forth between the eight pulleys before finally connecting to Xiang Yu's side.

"One, two, pull!" Wang Jianguo shouted.

The group of scholars chuckled and took a step back.

"collapse!"

Xiang Yu felt an irresistible force coming at him, and he staggered forward uncontrollably.

"What?!"

Xiang Yu was terrified, his eyes widened, and veins bulged on his forehead. He used all his strength, plowing two deep furrows in the ground with his feet, trying to steady himself.

"Get up!!!"

He roared, his muscles bulging with blood, his skin turning a deep purplish-red. This power was enough to lift a thousand-pound cauldron.

However, the group on the other side simply took another step back.

"Pull again!"

"Whoosh—"

Xiang Yu finally couldn't hold on any longer. He was dragged along the ground for more than three meters before finally falling flat on his face.

The entire room fell silent.

Han Xin tossed the rope in his hand, clapped his hands, and said coolly, "General Xiang, this is the 'using four ounces to move a thousand pounds' you wanted. This is called a pulley system, which saves eight times the effort. Although we only have three hundred pounds of strength combined, it is amplified by the pulley system to two thousand four hundred pounds. Even if you were a reincarnation of a Tyrannosaurus Rex, you still couldn't beat us."

Xiang Yu lay on the ground, staring at the set of pulleys, his eyes filled with confusion and fear.

He lost. He lost to a bunch of wooden wheels and rope.

"This...this is sorcery?" Xiang Yu muttered to himself.

Wang Jianguo went over and helped him up (although it was a bit difficult).

"This isn't sorcery; it's a variation of the leverage principle." Wang Jianguo picked up a twig and drew a diagram on the ground. "Archimedes said, 'Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.' General Xiang, your strength is limited, but the multiplication effect of physics is limitless."

"You think you're fighting against us?" Wang Jianguo pointed to the old locust tree. "No, you're fighting against geometry, you're fighting against the way of heaven."

As Xiang Yu looked at the simple pulley diagram, it was as if a bolt of lightning had struck his mind.

The power he had always been so proud of turned out to be so fragile in the face of "rules".

"Fulcrum... Multiplication..." Xiang Yu stared at his hands, then looked at the Overlord's Halberd, weighing 129 jin, on the weapon rack in the distance.

What if we consider this halberd as a lever?

What if... I consider my waist as the fulcrum?

Xiang Yu's eyes suddenly lit up, the light even more intense than before, like the eyes of a wild beast that had spotted a new prey.

"Teacher!" Xiang Yu suddenly grabbed Wang Jianguo's shoulder, nearly breaking his bones. "This pulley... no, this physics, teach me! I want to learn!"

From that day on, a remarkable phenomenon occurred at the Daqin Academy of Sciences.

Every morning, before dawn, strange reading sounds would drift from the playground.

"Force equals mass multiplied by acceleration... F equals ma..."

"Conservation of momentum...m1v1 equals m2v2..."

"The longer the lever arm, the greater the torque... The moment of inertia I equals mr²..."

Xiang Yu recited the formulas while wielding his twelve-foot-long halberd.

Unlike his previous bold and unrestrained halberd techniques, Xiang Yu's movements now became very strange.

Sometimes he would shorten the halberd shaft and swing it rapidly near the blade; other times he would lengthen the shaft and use the rotation of his waist to make the halberd tip draw a huge arc.

"No... the angular velocity is not enough."

Xiang Yu stopped, sweating profusely, and pulled out a small notebook (the notes he had forced Han Xin to make for him), gesturing with his thick fingers.

"According to the formula, linear velocity $v = omega r$. To maximize the impact force, the linear velocity at the end must be increased. However, if the radius $r$ is too large, the moment of inertia $I$ will be large, resulting in a slow start..."

The soldiers watching the commotion were dumbfounded.

"What's wrong with the commander? Is he possessed?"

"Shh, I heard the commander is practicing a kind of divine skill called 'Physical Divine Skill.' He's been chanting incantations all the time."

Just then, Han Xin passed by the parade ground, a roujiamo (Chinese hamburger) in his hand. He ate it while mocking, "Oh, General Xiang, still calculating? By the time you finish, it'll be too late. Want me to help you build a mathematical model?"

"Get lost!" Xiang Yu didn't even turn his head, casually picking up a stone. "Han Xin, you stay there. Let's assume you're fifty paces away from me, weigh seventy kilograms (although Han Xin is rather thin), and the wind speed is a northwesterly wind at level three..."

Xiang Yu squinted, weighing the stone in his right hand.

"Based on the formula for projectile motion... plus corrections for air resistance..."

"Whoosh!"

The stone flew out with a whooshing sound.

Han Xin was startled and instinctively tried to dodge, but the stone seemed to have eyes, flying past his scalp and accurately knocking off a hairpin from his hair bun.

"Whoosh!" Han Xin, his hair disheveled, stared in disbelief.

Xiang Yu chuckled: "Looks like I overestimated the air resistance coefficient. I'll revise it next time, and it should hit your nose."

Han Xin dropped the roujiamo (Chinese meat sandwich) in his hand. He looked at Xiang Yu and, for the first time, felt this brute was somewhat terrifying. Before, Xiang Yu threw stones purely by feel; now he was actually calculating the trajectory!

One month later, at the Lantian camp.

Today is the assessment day for the Iron Pagoda heavy cavalry. Ying Zheng personally came to test Xiang Yu's "learning results".

In the center of the training ground stood a specially made test dummy.

This dummy was no ordinary object; it wore heavy armor captured from the Xiongnu, stuffed with soaked cowhide and hardwood, as hard as granite. An ordinary cavalryman charging at full speed with his lance could at most puncture a hole in it.

"Xiang Yu, step forward." Ying Zheng sat on the high platform.

"This humble general is here!"

Xiang Yu rode out. His equipment was somewhat different today.

Several strange lead weights were tied to his halberd. Moreover, the placement of these weights was quite deliberate; they weren't tied to the tip, but rather about a third of the way from it.

"What are you doing?" Li Si asked Wang Jianguo curiously.

Wang Jianguo adjusted his glasses, a satisfied smile appearing on his face: "Adjusting the center of gravity. He's trying to change the weapon's moment of inertia in order to achieve the best balance between 'feel' and 'power' when swinging it. That's called 'ergonomics'."

On the field, the black horse let out a long neigh and began to accelerate.

"drive!"

Xiang Yu did not roar as usual; he was unusually calm. His eyes were fixed on the dummy, but in his mind was a dynamic force analysis diagram.

Distance: 100 steps.

Relative speed: 35 meters per second.

Target weakness: Neck joint.

As the distance closed, Xiang Yu did not rush to raise his halberd. He leaned forward, dragging the halberd behind him, his whole body resembling a fully drawn bow.

Energy storage phase: utilizing the horse's kinetic energy.

Enter the ten-step range.

Xiang Yu suddenly moved. Instead of thrusting directly, he used the strength of his waist and abdomen to twist his body violently.

Torque output! Engage your core muscles!

The heavy halberd drew a strange and perfect arc in the air. It was not a straight thrust, but a spinning "swing".

Like a bullet fired from a gun, it carries a spiraling force.

"Open it!!!"

The instant Xiang Yu made contact with his target, he flicked his wrist, using the lever principle to amplify the force of his entire body through the massive lever arm of the halberd, instantly concentrating it on a single point at the tip of the halberd.

Pressure = Force / Area of ​​contact.

As long as the contact area is small enough and the pressure is large enough, there is nothing that cannot be penetrated!

"boom--!!!"

A loud bang, like a thunderclap from a clear sky.

To everyone's horror, the dummy wearing triple armor was not pierced, but instead—exploded.

Yes, it exploded.

The immense kinetic energy was released in an instant, shattering the dummy's upper body. Fragments of the armor scattered like shrapnel, embedding themselves in the surrounding earthen walls.

Even the solid wood base beneath the dummy couldn't withstand the terrifying impact and snapped in two with a crack.

The entire room fell silent.

Even Meng Tian, ​​who was used to grand occasions, couldn't help but swallow hard: "This... is this something that can be done by human power?"

Xiang Yu reined in his horse and turned around, his black steed snorting excitedly.

He glanced at the halberd still trembling slightly in his hand, then at the pile of debris, and a childlike, innocent smile appeared on his face.

"The teacher is right," Xiang Yu muttered to himself. "$E = frac{1}{2}mv^2$. As long as the speed is fast enough and the mass is large enough, this halberd strike will be like a cannonball."

He turned his head to look at Ying Zheng and Wang Jianguo on the high platform, and raised his halberd high.

"Long live physics!"

That evening, after the victory celebration banquet ended.

Xiang Yu sat alone outside his tent, wiping his broken halberd.

Han Xin came over carrying two jugs of wine and sat down next to him.

"Want some drinks?" Han Xin handed over a pot.

Xiang Yu took the wine jug, took a big gulp, and did not argue with Han Xin as usual.

"Han Xin," Xiang Yu suddenly spoke, his voice low and deep.

"Um?"

"I used to think I was the best in the world. I thought that as long as I was strong enough, I could defeat everyone." Xiang Yu looked at the moon in the sky, "But today, I suddenly feel very insignificant."

"Oh? Even the Overlord feels insignificant?" Han Xin laughed.

"That formula..." Xiang Yu stretched out his finger and drew a simple $F=ma$ on the ground. "It's right there. Whether I'm a Qin person or a Chu person, whether I'm alive or dead, it's there, unchanging through the ages. It governs the sun, it governs the moon, and it governs the halberd in my hand."

Xiang Yu turned his head, his eyes revealing an unprecedented depth: "Han Xin, tell me, when we fought battles before, vying for territory and the throne, weren't we just like two ants fighting over a piece of candy in the face of this 'Way of Heaven'?"

Han Xin was stunned.

He never expected that this muscle-bound brute could come up with such a philosophical insight.

"Perhaps," Han Xin sighed. "The Grand Preceptor brought not only technology, but also... eyes that allow us to see the truth of the world. In the face of this truth, no one is special."

"But," Xiang Yu suddenly grinned, his domineering aura returning, "since rules are rigid, but people are flexible. As long as I master these rules, I am the king within them!"

He stood up and drank the wine in the flask in one gulp.

"Han Xin, in the next exercise, I want to try the 'centrifugal force throwing method.' You'd better wear your helmet properly, or next time it won't just be your hairpin that falls off."

Han Xin laughed and raised the wine jug: "Alright. Then I'll use 'probability theory' to calculate your chances of hitting the target and see if your physics is stronger or my math is more accurate."

In later history books, this chapter is recorded as follows:

"In the thirty-sixth year of King Zheng of Qin, Xiang Yu, the Hegemon-King, attained enlightenment at the Academy of Sciences. He abandoned recklessness and grasped the subtleties. From then on, when Xiang Yu was in battle, he would first estimate the enemy's distance by sight and calculate the wind speed by mind before striking with a single blow. People called him the 'Arithmetic Hegemon-King.' Although countless fierce generals in later generations imitated his 'Physical Halberd Technique,' they could not grasp its essence because they did not understand calculus, and thus it became a lost art."

On the wall of the Qin Academy of Sciences hangs a large, crooked inscription written by Xiang Yu himself:

"Master math, physics, and chemistry, and you'll be able to go anywhere in the world without fear—even if you're facing a massive army."