Chapter 3: Forces

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2. Table of Contents 3 Unit 1: Energy and Motion Chapter 3: Forces 3.1: Newton’s Second Law 3.2: Gravity 3.3: The Third Law of Motion

3. Newton’s Second Law 3.1 Force, Mass, and Acceleration • Newton’s first law of motion states that the motion of an object changes only if an unbalanced force acts on the object. • Newton’s second law of motion explains the relationship among mass, force, and acceleration.

4. Practice problems p. 69

5. Newton’s Second Law 3.1 Friction • Why don’t moving objects continue to move forever? • When an object slows, it is accelerating so there must be a force. • Friction: force that opposes motion between two touching surfaces. • Depends on: kinds of surfaces and the force pressing the surfaces together.

6. Newton’s Second Law 3.1 Sticking Together • With stronger forces pushing two surfaces together, more of the surface bumps will come into contact = greater friction.

7. Newton’s Second Law 3.1 Static Friction • Static friction: force that opposes motion when two surfaces aren’t moving.

8. Newton’s Second Law 3.1 Sliding Friction • If you get the box moving but then stop pushing, the box quickly comes to a stop. • Sliding friction: force that opposes the motion of two surfaces sliding past each other.

9. Newton’s Second Law 3.1 Rolling Friction • Rolling friction: force between a rolling object and the surface it rolls on.

10. Newton’s Second Law 3.1 Air Resistance • When an object falls toward Earth, it is pulled downward by the force of gravity. • Air resistance: force air exerts on a moving object. Opposes the motion of objects in air.

11. Newton’s Second Law 3.1 Air Resistance • Air resistance depends on the speed, size, and shape of the object. • Air resistance, not the object’s mass, is why some objects fall more slowly than others.

12. Which falls faster? A bowling ball or a feather? • What if there was no air resistance? • https://www.youtube.com/watch?v=E43-CfukEgs

13. Newton’s Second Law 3.1 Terminal Velocity • As an object falls faster, the upward force of air resistance increases. • When air resistance = gravity, net force = 0 and acceleration=0. • Object falls with a constant speed called the terminal velocity.

14. Newton’s Second Law 3.1 Terminal Velocity • Terminal velocity is the highest speed a falling object will reach. • Depends on the size, shape, and mass.

15. Section Check 3.1 Question 1 Newton’s second law of motion states that _________ of an object is in the same direction as the net force on the object. A. acceleration B. momentum C. speed D. velocity

16. Section Check 3.1 Answer The answer is A. Acceleration can be calculated by dividing the net force in newtons by the mass in kilograms.

17. Section Check 3.1 Question 2 The unit of force is __________. A. joule B. lux C. newton D. watt

18. Section Check 3.1 Answer The answer is C. One newton = 1 kg · m/s2

19. Section Check 3.1 Question 3 What causes friction? Answer Friction results from the sticking together of two surfaces that are in contact.

20. Gravity 3.2 What is gravity? • Gravity: attractive force an object exerts on every other object in the Universe. • Depends on: masses and distance

21. Gravity 3.2 GravityA Basic Force • Gravity is one of the four basic forces. • Others= electromagnetic force, strong nuclear force, and weak nuclear force.

22. Gravity 3.2 Earth’s Gravitational Acceleration • When all forces except gravity can be ignored, an object is in free fall. • Acceleration due to gravity (g)= 9.8 m/s2.

23. Gravity 3.2 Weight • The gravitational force exerted on an object is the object’s weight. • Weight can be calculated from this equation:

24. Gravity 3.2 Weight and Mass • The table shows how various weights on Earth would be different on the Moon and some of the planets.

25. Gravity 3.2 Weightlessness and Free Fall • Astronauts and equipment floating inside the space shuttle experience a sensation of weightlessness. • An astronaut with a mass of 80 kg still would weigh about 700 N in orbit, compared with a weight of about 780 N at Earth’s surface.

26. Gravity 3.2 Floating in Space • So what does it mean to say that something is weightless in orbit? • A scale shows the upward force exerted by the scale, which is your weight.

27. Gravity 3.2 Floating in Space • If you and the scale were in free fall, then you no longer would push down on the scale at all. • The scale dial would say you have zero weight, even though the force of gravity on you hasn’t changed.

28. Gravity 3.2 Floating in Space • A space shuttle in orbit is in free fall around Earth. • Everything in the shuttle is falling around Earth at the same rate and seem to be floating because they are all falling with the same acceleration.

29. OK Go- Upside Down and Inside Out • https://www.youtube.com/watch?v=LWGJA9i18Co

30. Gravity 3.2 Projectile Motion • Earth’s gravity causes projectiles to follow a curved path.

31. Gravity 3.2 Horizontal and Vertical Motions • When you throw a ball, the force exerted by your hand pushes the ball forward (horizontal motion). • No force accelerates it forward after the throw, so its horizontal velocity is constant, if you ignore air resistance.

32. Gravity 3.2 Horizontal and Vertical Motions • Gravity pulls the ball downward, giving it vertical motion. • The ball has constant horizontal velocity but increasing vertical velocity.

33. Gravity 3.2 Horizontal and Vertical Motions • Gravity exerts an unbalanced force on the ball, changing the direction of its path from only forward to forward and downward. • Result:ball appears to travel in a curve.

34. Gravity 3.2 Horizontal and Vertical Distance • If a ball was thrown in a perfectly horizontal direction, would it take longer to reach the ground than if you dropped a ball from the same height? https://www.youtube.com/watch?v=zMF4CD7i3hg

35. Gravity 3.2 Centripetal Force • Acceleration toward the center of a curve/circle= centripetal acceleration • Car’s velocity direction is changing= it is accelerating toward the center of the curve.

36. Gravity 3.2 Centripetal Force • Remember acceleration is due to a net force. • During centripetal acceleration, the net force direction must be toward the center of the curved path. • The net force exerted toward the center of a curved path is called a centripetal force. • Car’s centripetal force= friction/traction of tires on road

37. Gravity 3.2 Gravity Can Be a Centripetal Force • Imagine whirling an object tied to a string above your head. • The string exerts a centripetal force on the object that keeps it moving in a circular path.

38. Gravity 3.2 Gravity Can Be a Centripetal Force • In the same way, Earth’s gravity exerts a centripetal force on the Moon that keeps it moving in a nearly circular orbit.

39. Section Check 3.2 Question 1 Gravity is an attractive force between any two objects and depends on __________. Answer Gravity is an attractive force between any two objects and depends on the masses of the objects and the distance between them.

40. Section Check 3.2 Question 2 Which is NOT one of the four basic forces? A. gravity B. net C. strong nuclear D. weak nuclear

41. Section Check 3.2 Answer The answer is B. The fourth basic force is the electromagnetic force, which causes electricity, magnetism, and chemical interactions between atoms and molecules.

42. Section Check 3.2 Question 3 Which of the following equations represents the law of universal gravitation? A. F = G(m1m2/d2) B. G = F(m1m2/d2) C. F = G(m1- m2/d2) D. F = G(d2/m1m2)

43. Section Check 3.2 Answer The answer is A. In the equation, G is the universal gravitational constant and d is the distance between the two masses, m1 and m2.

44. The Third Law of Motion 3.3 Newton’s Third Law • Newton’s third law of motion: when one object exerts a force on a second object, the second one exerts a force on the first that is equal in strength and opposite in direction. • “For every action, there is an equal and opposite reaction.”

45. The Third Law of Motion 3.3 Action and Reaction Forces Don’t Cancel • According to the third law of motion, action and reaction forces act on different objects. • Thus, even though the forces are equal, they are not balanced because they act on different objects.

46. The Third Law of Motion 3.3 Action and Reaction Forces Don’t Cancel • For example, a swimmer “acts” on the water, the “reaction” of the water pushes the swimmer forward. • Thus, a net force, or unbalanced force, acts on the swimmer so a change in his or her motion occurs.

47. The Third Law of Motion 3.3 Momentum • A moving object has a property called momentum that is related to how much force is needed to change its motion. • Units= kg · m/s. Momentum has direction because velocity has a direction.

48. The Third Law of Motion 3.3 Law of Conservation of Momentum • The momentum of an object doesn’t change unless its mass, velocity, or both change. • Momentum, however, can be transferred from one object to another. • The law of conservation of momentum states that if a group of objects exerts forces only on each other, their total momentum doesn’t change.

49. The Third Law of Motion 3.3 When Objects Collide • The results of a collision depend on the momentum of each object. • When the first puck hits the second puck from behind, it gives the second puck momentum in the same direction.

50. The Third Law of Motion 3.3 When Objects Collide • If the pucks are speeding toward each other with the same speed, the total momentum is zero.