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Laws of Motion Forces: chapter 11 1st Law An object at rest remains at rest and an object in motion maintains its velocity unless it experiences an unbalanced force. 2nd Law The unbalanced force acting on an object equals the object’s mass times its acceleration: force = mass x acceleration F = ma Calculate the force of… A block of ice with a mass of 12.5 kg being accelerated at a rate of 3.5 m/s2 2nd Law continued… Or, the acceleration of an object is proportional to the net force on the object and inversely proportional to the object’s mass: acceleration = force ÷ mass a=F÷m Calculate the rate of acceleration... of a sailboat with a mass of 655 kg while it experiences a net force of 895 N Law of Universal Gravitation Newton generalized his observations on gravity in a law now known as the law of universal gravitation. Mathematically, the law of universal gravitation is stated as: F = G (m1m2 ÷ d2) Math Skills The force between a planet and a spacecraft is 1 million newtons. What will the force be if the spacecraft moves to half its original distance from the planet? Free Fall and Weight The free-fall acceleration of an object due to gravity near the Earth’s surface is 9.8m/s2 Weight is equal to mass times free-fall acceleration w = mg Calculate the weight of… A 65 kg astronaut on the surface of the moon, where g = 1.6 m/s2 3rd Law For every action force, there is an equal and opposite reaction force. Momentum Moving objects have momentum. Momentum is a quantity defined as the product of the mass and velocity of an object. Momentum Equation Momentum = mass x velocity p = mv Calculate the momentum of… a 65 kg skateboarder moving forward at the rate of 3.0 m/s