Newton's second law of motion

Newton's Second Law Of Motion

1. ANCY C SIMON Physical Science Optional Register Number- 13971004

2. Background Sir Isaac Newton (1643-1727) an English scientist and mathematician famous for his discovery of the law of gravity also discovered the three laws of motion . He published them in his book Philosophiae Naturalis Principia Mathematica (mathematic principles of natural philosophy) in 1687 . Today these laws are known as Newton’s Laws of Motion and describe the motion of all objects on the scale we experience in our everyday lives.

3. Sir Issac Newton “ If I have ever made any valuable discoveries, it has been owing more to patient attention, than to any other talent.” -Sir Isaac Newton

4. Force Force is an action that can change motion. A force is what we call a push or a pull, or any action that has the ability to change an object’s motion. Forces can be used to increase the speed of an object, decrease the speed of an object, or change the direction in which an object is moving.

5. Newton's Second Law If you apply more force to an object, it accelerates at a higher rate.

6. Newton's Second Law If the same force is applied to an object with greater mass, the object accelerates at a slower rate because mass adds inertia.

7.   According to Newton, an object will only accelerate if there is a net or unbalanced force acting upon it. The presence of an unbalanced force will accelerate an object - changing its speed, its direction, or both its speed and direction.

8. Newton's second law of motion :  Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object

9.   The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased , the acceleration of the object is increased . As the mass of an object is increased , the acceleration of the object is decreased .

10. Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

11. Newton’s Second Law of Motion In other words… How much an object accelerates depends on the mass of the object and how much force is applied to it. The equation for this is: Force = mass x acceleration F=ma

12. One Newton (1N) is the force required to produce an acceleration of 1m/s on a body of mass 1kg. Units of Force = Newton (N) SI units for mass is kg SI units for acceleration is m/s 2 1 Newton (N) = 1kg . m/s 2 The unit of force is Newton (N)

13. Newton's Second Law Three forms of the second law:

14. If a baseball is thrown at 150 m/s 2 and its mass is 0.50 kg what force is necessary to change its direction? a = 150 m/s 2 m = 0.50 kg F = ? F = ma F = (0.50 kg)(150 m/s 2 ) F = 75 kg m/s 2 = 75 N Newton’s Second Law of Motion

15. Newton’s 2 nd Law proves that different masses accelerate to the earth at the same rate, but with different forces. We know that objects with different masses accelerate to the ground at the same rate. However, because of the 2nd Law we know that they don’t hit the ground with the same force. F = ma 98 N = 10 kg x 9.8 m/s/s F = ma 9.8 N = 1 kg x 9.8 m/s/s

16. Applications of 2 nd Law

17. Check Your Understanding Determine the accelerations that result when a 12-N net force is applied to a 3-kg object and then to a 6-kg object. A net force of 15 N is exerted on an encyclopedia to cause it to accelerate at a rate of 5 m/s2. Determine the mass of the еncyclopedia . Suppose that a sled is accelerating at a rate of 2 m/s2. If the net force is tripled and the mass is doubled, then what is the new acceleration of the sled? Suppose that a sled is accelerating at a rate of 2 m/s2. If the net force is tripled and the mass is halved, then what is the new acceleration of the sled?

18. Your answers have to be:   1 . A 3-kg object experiences an acceleration of 4 m/s 2 . A 6-kg object experiences an acceleration of 2 m/s 2 . 2. Use F= m a with F = 15 N and a = 5 m/s 2 So (15 N) = (m) x (5 m/s 2 ) And m = 3.0 kg 3. Answer: 3 m/s 2 The original value of 2 m/s 2 must be multiplied by 3 (since a and F are directly proportional) and divided by 2 (since a and m are inversely proportional) 4. Answer: 12 m/s 2 The original value of 2 m/s 2 must be multiplied by 3 (since a and F are directly proportional) and divided by 1/2 (since a and m are inversely proportional)

19. Thank You