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Physics 200 (Stapleton) Newton’s 1st and 2nd Laws Name: _________________________ Newton’s 1st Law: Objects in motion ___________________________________________________ ________________________________________________________________________________, and objects at rest stay at rest – unless _______________________________________________________ ____________________________________________________________________________________. If the forces acting on an object are balanced (i.e. no net force), what might that object be doing? What are the options? What are the options for what an object might be doing if the forces on the object are not balanced (i.e. there is a net force)? Newton's 1st Law is called the "Law of Inertia." Inertia is: What objects of things have the most inertia? Net force (Fnet): Normal Force: The basic metric unit of force is the ______________. Its abbreviation is _________. 1 N ≈ 0.224 pounds. Practice: 1. Each of the pictures on the right shows one or more force vectors. A) Look at the pictures and decide if the forces are balanced or unbalanced. Label them appropriately. B) Look at each of the pictures and determine the net force. If the net force is not zero, draw and label a new vector representing the net force. 2. Forces are balanced whenever the net force on an object is ____________. 3. The ball in picture C is rolling down a hill. What does the net force tell you about the ball's motion? 4. The ball in picture B is falling from the sky. What does the net force tell you about the ball's motion? 5. The ball and hand in picture D are just beginning to move. What does the net force tell you about their motion? 6. The car in picture E is driving to the left. What does the net force tell you about the car's motion? 7. The box in picture G is sliding down a hill. What does the net force tell you about the box's motion? 8. The ball in picture F is falling from the sky. What does the net force tell you about the ball's motion? Newton's 2nd Law: Mass: Metric Base Unit for Mass = ________________________, which is abbreviated _________ On Earth, a 1kg mass weighs about 9.8 Newtons or about 2.2 pounds. Weight: Calculating forces using Newton's 2nd law: 1. A 2kg mass accelerates at a rate of 3m/s2. What net force caused this acceleration? 2. A 91N net force is applied to an object. If the object accelerates at a rate of 8m/s2, what is the object’s mass? 3. A bowling ball is sitting motionless on the ground. The ground is applying a 49N upward force to the bowling ball. What is the bowling ball’s mass? Gravity causes a force even when an object is sitting still. If we know how fast gravity would accelerate the object if gravity were not balanced by any other force, then we can figure out the force of gravity acting on an object. This is the weight of the object. 4. 5. 6. What is the weight of a 30kg child who is standing on the Earth? What is the weight of the same 30kg child, if that child is standing on Mars? Fill in all of the missing forces in the two diagrams below. F =____ Acceleration Due to Gravity Comparison Body Acceleration Due to Gravity, "g" [m/s²] Sun 274.13 Mercury 3.59 Venus 8.87 Earth 9.81 Moon 1.62 Mars 3.77 Jupiter 25.95 Saturn 11.08 Uranus 10.67 Neptune 14.07 Pluto 0.42 F= 5N gray dog F =____ a = 2 m/s/s rope mass = 1kg Net Force = _____ 7. F= 1000N a = -4 m/s/s car mass = 500kg Net Force = _____ What is the normal force that is acting on the car in the diagram above? More Practice, Newton’s 1st and 2nd Laws: 1. An object falling through air accelerates until it reaches what is known as its terminal velocity. After reaching terminal velocity, the object falls at a constant speed. Circle the answer that correctly completes the following sentence. When you jump out of a plane, before you reach terminal velocity… a. your weight equals air resistance. b. your weight is greater than air resistance. c. air resistance is greater than your weight. c. air resistance is equal to your mass. The diagram below shows the path followed by a car. It also explains what is happening to the car’s speed as the car is traveling. For each of the segments of the car’s path, tell whether (by circling) the forces acting on the car are balanced (no net force) or unbalanced. 2. 3. 4. 5. 6. At point A : Balanced Unbalanced Between A & B : Balanced Unbalanced Between B & C : Balanced Unbalanced Between C & D : Balanced Unbalanced Between D & E : Balanced Unbalanced 7. A ball is sitting motionless on the ground. Earth’s gravitational pull accelerates objects at 9.8m/s2. What do you know about the NET FORCE acting on the ball? B D 8. Fill in the missing forces in the diagrams below. 9. (I) What is the weight of a 76-kg astronaut (a) on Earth, (b) on the Moon g 1.7 m s2 , (c) on Mars g 3.7 m s , (d) in outer space traveling with constant velocity? 2 10. (II) A 20.0-kg box rests on a table. (a) What is the weight of the box and the normal force acting on it? (b) A 10.0-kg box is placed on top of the 20.0-kg box, as shown in Fig. 4–38. Determine the normal force that the table exerts on the 20.0-kg box and the normal force that the 20.0-kg box exerts on the 10.0kg box. 11. (II) An elevator (mass 4850 kg) is to be designed so that the maximum acceleration is 0.0680g. What are the maximum and minimum forces the motor should exert on the supporting cable? 12. (II) A 75-kg petty thief wants to escape from a third-story jail window. Unfortunately, a makeshift rope made of sheets tied together can support a mass of only 58 kg. How might the thief use this “rope” to escape? Give a quantitative answer. 13. (III) A person jumps from the roof of a house 3.9-m high. When he strikes the ground below, he bends his knees so that his torso decelerates over an approximate distance of 0.70 m. If the mass of his torso (excluding legs) is 42 kg, find (a) his velocity just before his feet strike the ground, and (b) the average force exerted on his torso by his legs during deceleration. 14. According to a simplified model of a mammalian heart, at each pulse approximately 20 g of blood is accelerated from 0.25 m s to 0.35 m s during a period of 0.10 s. What is the magnitude of the force exerted by the heart muscle?