In thought Which of the following do you think would deliver a greater force when colliding with a wall? A golf ball moving at 70 m/s or a baseball moving at 50 m/s? Explain your answer in 3-4 sentences. Objectives State Newton’s second law of motion and explain how force and mass are related to acceleration Key Term Newton (N) Newton’s Second Law of Motion THE NET FORCE ON AN OBJECT IS EQUAL TO THE PRODUCT OF ITS ACCELERATION AND ITS MASS FORCE = MASS x ACCELERATION F = ma IMPORTANT F = ma Acceleration is measured in meters per second per second (m/s2) Mass is measured in kilograms (kg) Force = kg x m/s2 One newton (N) is equal to the force required to accelerate one kilogram of mass at one meter per second per second a = F/m Acceleration of an object can be found if you know the force measured in newtons and the mass of the object A = F/m A = m/s2 F=N m = kg Force Practice Problem A 52 kg water skier is being pulled by a speedboat. The force causes the skier to accelerate at 2 m/s2. Calculate the net force that causes this acceleration. F = ma Force = 52 kg x 2 m/s2 Force = 104 kg x m/s2 Force = 104 N Force is measured in NEWTONS Force Problems What is the net force on a 2,500-kg elevator accelerating at 2.3 m/s2? Force = 5,750 N What net force is needed to accelerate a 55-kg cart at 17 m/s2? Force = 935 N Changes in Force and Mass One way to increase acceleration is to increase the force According to F = ma, when force increases the acceleration also increases Another way to increase acceleration is change the mass Mass and acceleration have an inverse relationship, meaning if one goes up the other goes down Review Force = mass x acceleration If force increases so does the acceleration If mass increases acceleration decreases References Anderson, M. et all (2012) Physical Science. McGraw-Hill: Columbus Frank, D.V et al (2001). Physical Science. Prentice Hall: New Jersey