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GRAVITY Law of Gravitation Centripetal Force Law of Gravitation States that any two masses exert an attractive force on each other. This attractive force depends on the mass of the two objects and it increases as the mass of either of the objects increase. You can’t feel the attraction between you and your notebook because the force is too weak. Only the Earth is close enough and has a large enough mass so that you can feel its gravitational pull. The Sun has a larger mass than the Earth but it is too far away for you to experience its gravitational pull. Gravity It is one of the four basic forces. You may think that a star in another galaxy is too far away to exert a gravitational force on you, but no matter how far away something is the gravitational attraction never disappears. All stars in a galaxy exert a gravitational force on each other. This is what helps give the galaxies their shape. Gravitational Acceleration All things near Earth’s surface fall at an acceleration of 9.8m/s2. You can still use Newton’s second law to find out the force of the object that is falling. F=ma And if you are talking about a falling object the formula would be F=m*9.8m/s2 The force of Earth’s gravity is always downward. When an object is influenced only by the force of gravity, it is said to be in free fall. No matter how large or small an objects mass is, they will fall with the same acceleration. If I was to drop a marble and a bowling ball at the same time, they will hit the ground at the same time. Weight You can also use Newton’s second law to calculate weight. Weight is the gravitational force exerted on an object. 𝑔𝑟𝑎𝑣𝑖𝑡𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝑓𝑜𝑟𝑐𝑒 = 𝑚𝑎𝑠𝑠 ∗ 𝑎𝑐𝑐𝑒𝑙𝑒𝑟𝑎𝑡𝑖𝑜𝑛 𝑑𝑢𝑒 𝑡𝑜 𝑔𝑟𝑎𝑣𝑖𝑡𝑦 So on Earth you would use 𝑊 = 𝑚 ∗ 9.8𝑚/𝑠 2 Example Problem: What does a person with a mass of 70kg weigh on Earth? Weight If you traveled away from Earth, the gravitational pull would become weaker making you weigh less. Weight and mass are NOT the same thing. Weight is a force and mass is a measure of the amount of matter an object contains. They are related though. The more mass an object has, the more it will weigh due to the force of gravity. Weightlessness Astronauts are not actually weightless in space. They would have to be a long way from Earth to be free from the effects of gravity. They are actually experiencing the same thing you feel when you are in an elevator that is going down. The shuttle is actually falling back toward Earth so that is why they appear to float. Projectile Motion Anything that is thrown or shot through the air is called a projectile. These projectiles travel in a curved path due to their own inertia and Earth’s gravitational pull. They have horizontal and vertical velocities. Centripetal Force Centripetal acceleration is the acceleration toward the center of a curved or circular path. Centripetal force is the force that is pulling the object to the middle while it is turning. This force could come from a wall that causes a ball to turn or from the friction between the tires and the road as a car makes a turn. If the road were icy, the tires would not have this friction and the car would continue to go straight. The Earth’s gravity exerts a centripetal force on the Moon that keeps it orbiting in a circular path.