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Newton’s 2 nd Law of Motion. F = ma. Second Law of Motion. This law states the net force of an object is equal to its mass times acceleration The equation for Newton’s 2 nd Law of Motion states the following: F = ma or force = mass x acceleration
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Newton’s 2nd Law of Motion F = ma
Second Law of Motion • This law states the net force of an object is equal to its mass times acceleration • The equation for Newton’s 2nd Law of Motion states the following: F = ma or force = mass x acceleration • Force is expressed in Newtons (N), mass in kilograms (kg) and acceleration in m/s2
Mass, Force and Acceleration • When you apply a force to an object, you cause object to accelerate by changing the speed or direction of the object • The harder you throw a ball, the more it accelerates • If you double the force on a ball, the acceleration will double also
Acceleration • The acceleration of an object is always in the same direction as the net force • If the net force acts in the opposite direction to the object’s motion then the force will produce a deceleration
Force Example – solving for acceleration • A car with a mass of 1000kg accelerates when the traffic light turns green. If the net force on the car is 4000N, what is the car’s acceleration? • m = 1000kg, F = 4000NF = m x a so a = force/mass • A =4000N/1000kg = 4m/s2
Force Example – solving for force • A car with a mass of 1200kg accelerates at a rate of 3.0m/s2. What is the net force acting on the car? • m = 1200kg, a = 3.0m/s2 • F = maso F = 1200kg x 3.0m/s2 = 3600N
Force Example – solving for mass • A 25N force accelerates a boy in a wheelchair at 0.5m/s2. What is the mass of the boy and the wheelchair? • F = ma so m = F/a • F = 25N, a = 0.5m/s2 • m = 25N/0.5m/s2 = 50kg