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  • Have you ever noticed that it's harder to start pedaling your bicycle

    你曾注意到嗎? 騎自行車時

  • than it is to ride at a constant speed?

    起步比等速前進費力

  • Or wondered what causes your bicycle to move?

    你想過自行車為什麼會移動嗎?

  • Or thought about why it goes forward instead of backwards or sideways?

    為什麼是前進 而不是後退或向旁邊呢?

  • Perhaps not, and you wouldn't be alone.

    也許你沒想過,但不止是你

  • It wasn't until the 17th century

    一直到十七世紀

  • that Isaac Newton described the fundamental laws of motion

    牛頓 (Isaac Newton) 描述了 三大運動定律

  • and we understood the answer to these three questions.

    我們才明白了這三個問題的答案

  • What Newton recognized was that things tend to keep on doing

    牛頓發現 事物傾向於保持原來狀態

  • what they are already doing. So when your bicycle is stopped,

    所以,當你的自行車停止

  • it stays stopped, and when it is going,

    它會保持停止狀態;如果它前進

  • it stays going.

    則會保持前進狀態

  • Objects in motion tend to stay in motion

    動者恆動

  • and objects at rest tend to stay at rest.

    靜者恆靜

  • That's Newton's First Law.

    這就是牛頓第一運動定律

  • Physicists call it the Law of Inertia, which is a fancy way of saying

    物理學家稱為慣性定律 這只是比較酷的名稱

  • that moving objects don't spontaneously speed up, slow down, or change direction.

    意思是運動中的物體不會自己 加速、減速、改變方向

  • It is this inertia that you must overcome to get your bicycle moving.

    必須克服慣性,自行車才會移動

  • Now you know that you have to overcome inertia to get your bicycle moving,

    雖然知道克服慣性,自行車才會動

  • but what is it that allows you to overcome it?

    但克服慣性的到底是什麼?

  • Well, the answer is explained by Newton's Second Law.

    牛頓第二運動定律說出了答案

  • In mathematical terms, Newton's Second Law says

    牛頓第二定律,用數學觀點來說

  • that force is the product of mass and acceleration.

    力 = 質量 × 加速度

  • To cause an object to accelerate, or speed up,

    要讓某個物體加速

  • a force must be applied.

    必須施力

  • The more force you apply,

    施力越大

  • the quicker you accelerate. And the more mass your bicycle has,

    加速越快。而且自行車質量越大

  • and the more mass you have too,

    還有你的質量越大

  • the more force you have to use to accelerate at the same rate.

    要施更大的力,才有相同的加速度

  • This is why it would be really difficult to pedal a 10,000 pound bicycle.

    如果自行車有一萬磅重 會很難踩得動

  • And it is this force, which is applied by your legs pushing down on the pedals,

    而就是雙腿踩踏板的力量

  • that allows you to overcome Newton's Law of Inertia.

    讓你克服牛頓的慣性定律

  • The harder you push down on the pedals, the bigger the force

    你越用力踩踏板

  • and the quicker you accelerate.

    加速就越快

  • Now on to the final question:

    最後一個問題是:

  • When you do get your bike moving,

    當你移動自行車時

  • why does it go forward?

    為什麼自行車會往前走?

  • According to Newton's Third Law, for every action,

    根據牛頓第三定律,每個作用力

  • there is an equal and opposite reaction.

    都有大小相等、方向相反的 反作用力

  • To understand this, think about what happens when you drop a bouncy ball.

    要理解這點,想想彈力球掉到地上 會怎麼樣

  • As the bouncy ball hits the floor,

    彈力球掉到地上時

  • it causes a downward force on the floor.

    對地板施了個向下的力

  • This is the action.

    這是作用力

  • The floor reacts by pushing on the ball with the same force,

    地板的反應是,用相等的力量推球

  • but in the opposite direction - upward -

    但方向相反,變成向上

  • causing it to bounce back up to you.

    讓球彈回你手上

  • Together, the floor and the ball form what's called

    地板和球,形成了一對

  • the action/ reaction pair. When it comes to your bicycle,

    作用力與反作用力

  • it is a little more complicated. As your bicycle wheels spin

    自行車則更複雜

  • clockwise, the parts of each tire touching the ground

    當車輪順時針旋轉 輪子接觸地面部分

  • push backwards against the earth -

    會向後推地球

  • the actions. The ground pushes forward with the same force

    這是作用力。地面以相等的力量

  • against each of your tires - the reactions.

    反方向推輪子,這是反作用力

  • Since you have two bicycle tires, each one forms an action/ reaction pair

    因為自行車有兩個輪子 每個會與地面形成一對

  • with the ground. And since the Earth is really really really big,

    作用力與反作用力 因為和自行車相比

  • compared to your bicycle, it barely moves

    地球真的超級大, 所以你的自行車輪胎向後的力量

  • from the forced caused by your bicycle tires pushing backwards -

    幾乎沒有讓地球移動

  • but you are propelled forward.

    ──然而你就被反作用力推向前了

Have you ever noticed that it's harder to start pedaling your bicycle

你曾注意到嗎? 騎自行車時

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