0.11
ニュートンの第 2 法則は、運動の第 1 法則と密接に関連しています。 これは、力と動きの変化との間の因果関係を数学的に示します。 ニュートンの第 2 法則は定量的であり、力が関与する状況で何が起こるかを計算するために広く使用されています。 系に作用するすべての外力が合成され、合力 Fnet となり…
荷物カートを押して移動しているとします。彼女が加える外力は、加えられた力の方向にカートを加速します。
彼女がより大きな力で押すと、カートはより速く動きます。カートを止めるには、彼女は自分の動きとは反対の方向に外力を加える必要があります。
彼女がカートにより多くの荷物を置くと、同じ力で正味の外力の方向に小さな加速度が生成されます。
これらをまとめると、ニュートンの運動の第二法則が得られ、物体は正味の外力の方向に比例して加速し、その質量に反比例して加速すると述べています。
あるいは、物体に作用する正味の外力は、その質量と加速度の積です。加速する物体はすべてニュートンの第二法則に従います。
View the full transcript and gain access to JoVE Core videos
Q1: What is acceleration due to gravity on Earth?
Acceleration due to gravity is the rate at which objects accelerate toward Earth's surface when falling freely under gravitational force alone. On Earth, this value is approximately 9.8 meters per second squared (m/s²). This constant applies to all objects regardless of mass, making it a fundamental constant in physics and mechanics.
Q2: Why does gravitational acceleration remain constant near Earth's surface?
Gravitational acceleration is constant near Earth's surface because the gravitational force acting on an object is proportional to its mass, and this force divided by mass yields a constant value. The distance from Earth's center remains relatively unchanged at the surface, so the acceleration remains approximately 9.8 m/s² for all objects in free fall.
Q3: How does mass affect an object's acceleration due to gravity?
Mass does not affect an object's acceleration due to gravity. Although gravitational force increases with mass, the acceleration remains constant at 9.8 m/s² because force and mass are proportionally related. This means a feather and a bowling ball accelerate at the same rate when falling freely in a vacuum.
Q4: What is the relationship between weight and gravitational acceleration?
Weight is the gravitational force exerted on an object and is calculated by multiplying mass by gravitational acceleration (W = mg). Since gravitational acceleration on Earth is 9.8 m/s², an object's weight increases proportionally with its mass. Weight varies with location, while mass remains constant.
Q5: How does altitude affect gravitational acceleration on Earth?
Gravitational acceleration decreases slightly with increasing altitude because distance from Earth's center increases. At higher elevations, objects experience slightly less gravitational acceleration than the standard 9.8 m/s² at sea level. This effect becomes more pronounced at extreme altitudes, such as in space or on mountains.
Q6: Why is gravitational acceleration important in mechanical engineering calculations?
Gravitational acceleration is essential for calculating forces, motion, and energy in mechanical systems. Engineers use the 9.8 m/s² value to determine structural loads, design safety systems, and predict object motion. Accurate gravitational acceleration values ensure reliable predictions of system behavior and component performance.