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Gravity, Weight, Mass, Falling Objects, and Centripetal Force Law of Gravitation Law of Gravitation Any 2 masses exert an attractive force on each other. Force of gravity increases with mass and decreases with distance. Weight vs. Mass Weight vs. Mass Weight is the gravitational force exerted on an object by the Earth. Weight is a force, and mass is a measure of the amount of matter an object contains. Your mass is the same no matter where in the universe you are, but your weight will vary because of gravity. Calculating Weight Weight is your mass multiplied by the acceleration due to gravity (g) or 9.8 m/s2. The formula for weight is: weight = mass x g Where g = 9.8 m/s2 Weight and Mass Gravitation Celestial Body Factor Relative to Earth Sun Mercury Venus Earth Moon Mars Jupiter Saturn Uranus Neptune Pluto 27.9 0.38 0.91 1 0.17 0.38 2.54 1.08 0.91 1.19 0.06 Falling Objects Air Resistance • The air resistance of an object depends on its size, shape, and speed. • Air resistance and NOT the mass of an object is why certain things fall more quickly than others. • In a vacuum, there is NO air resistance, so all things fall at the same rate. In a Vacuum Exit Ticket 1. Why do you feel the force of attraction between you and the Earth, but not between you and your pencil? 2. What is the difference between weight and mass? 3. What is a vacuum and how do objects fall differently in a vacuum? Projectile Motion The path that an object takes when it is thrown or shot through the air. This path is due to Earth’s gravitational pull and the object’s own inertia. Projectile Motion Terminal Velocity As an object falls, it accelerates and its speed increases as does the force of air resistance. The force of air resistance increases until it cancels out the force of gravity. When the forces are balanced, the object no longer accelerates, so it reaches a constant speed called its terminal velocity. Centripetal Force and g’s Centripetal Force Centripetal force is an unbalanced force pushing or pulling an object towards the center of a circle. Centripetal acceleration is acceleration towards the center of a curved or circular path. Centripetal Force examples from physicsclassroom.com As a car makes a turn, the As a bucket of water is tied force of friction acting to a string and spun in a upon the turned wheels of circle, the tension force the car provides centripetal acting upon the bucket force required for circular provides the centripetal motion. force required for circular motion. As the moon orbits the Earth, the force of gravity acting upon the moon provides the centripetal force required for circular motion. No centripetal force example from physicsclassroom.com Without a centripetal force, an object in motion continues along a straight-line path. With a centripetal force, an object in motion will be accelerated and change its direction. Weightlessness