Motion and Forces Physical Science Unit 6 Motion Everyday life motion is so common, it seems to appear very simple. However, understanding motion requires some new and advanced ideas. How do we know when an object is moving????? Motion Motion – change in position over a certain time Distance, time and direction Frame of reference Energy Potential energy – stored energy 1. Gravitational – any object raised above the surface of the Earth … such as the energy in a stretch or compressed spring … such as stored in chemical bonds, food, fuel, batteries 2. Kinetic energy – energy of moving objects or energy in motion Speed and Velocity An object is moving if its position changes but the background stays the same. Horse galloping but the trees remain stationary Person walking but the road remains in place Speed and velocity cont. Stationary background = reference frame This can be used to measure the change in position of the moving object Speed Speed describes how fast an object moves Which moves faster? • Flying eagle or galloping horse • Speeding race car or flying jet Speed cont. The speed depends on the distance traveled and the time it took to travel that distance. This is a scalar quantity in which only the magnitude is being measured. Quantities that can be described by a single number are called scalars. Speed To determine speed you must have Distance traveled by an object Time it takes to travel that distance SI unit for speed is meters per second (m/s) Speed cont. Speed equation: Speed = distance time Or s=d t Units of speed Units: 1. Distance measured in meters, kilometers, or centimeters 2. Time measured in seconds, minutes, or hours 3. Therefore speed is in meters per second (m/s) or kilometers per hour km/hr Types of speed 1. Instantaneous – speed at that exact moment 2. Constant – does not change through the time 3. Average – total distance over time Practice problems Wheelchair racer finishes a 132 m race in 18 s. What is the speed? s = d = 132 m = 7.3 m/s t 18 s A person jogs 500 meters in 360 seconds. Calculate the speed. A person jogs 500 meters in 360 seconds. Calculate the speed. s = d = 500 m t 360 s = 1.39 m/s A person walks 4 miles in 2 hours, then stops for an hour for lunch. After lunch they walk 8 miles in 3 hours. Calculate the person’s average speed. Distance Time A person walks 4 miles in 2 hours, then stops for an hour for lunch. After lunch they walk 8 miles in 3 hours. Calculate the person’s average speed. 4 miles 2 hrs 0 miles 1 hr 8 miles 3 hrs Total 12 miles 6 hrs s = d/t = 12 miles/6 hrs = 2 mph Velocity Velocity – quantity describing both speed and direction. Speed in a given direction or displacement divided by time Needs a direction, third dimension, north, east, south, west Vector quantity – uses both magnitude and direction Speed vs. velocity Speed is a scalar Velocity is a vector Speed has no direction; scalars have no direction Velocity has direction; vectors have direction Speed or velocity? 1. Person walks 4 m/s 2. Person walks 2 m/s north 3. Car drives 60 mph toward Biloxi 4. Car drives 30 mph 5. Boat is pulled by a 53 newton force Speed or velocity? 1. Person walks 4 m/s - - - speed 2. Person walks 2 m/s north - - velocity 3. Car drives 60 mph toward Biloxi - velocity 4. Car drives 30 mph - - - speed 5. Boat is pulled by a 53 newton force - - velocity Acceleration Acceleration – rate of change in velocity Means of acceleration 1. Decrease speed = negative acceleration or deceleration 2. Increase speed 3. Change the direction Acceleration formula a = V final – V initial = Δv time t Acceleration examples A plane starts at rest and ends up going 200 m/s in 10 secs. Calculate the acceleration. A = V final – V initial = 200 – 0 m/s = 20 m/s2 time 10 s Positive answer = acceleration A race car starts at 400 m/s and then stops in 20 seconds. Calculate the car’s acceleration. A = V final – V initial = 0-400 m/s = - 20 m/s2 time 20 s Negative answer = deceleration Force Force – a push or a pull that one body applies to another 1. A force can cause an objects motion to change 2. When two or more forces combine… they create a net force Force cont. 3. 4. Balanced forces are equal in size and opposite in direction. (They do not cause motion) Unbalanced forces are unequal in size and/or are in the same direction. (They will cause an object to move!) Newton’s 1st Law of Motion “An object moving at a constant velocity keeps moving at that velocity unless a net force acts on it.” Newton’s 1st Law of Motion What does that mean????? An object in motion stays in motion unless acted on by an outside force… same for an object at rest… Newton’s 1st Law This is called inertia – an objects resistance to change its motion. 1. 2. 3. Inertia is a property of matter. The amount of inertia that an objects has depends on its mass. The more mass an object has, the harder it is to change its motion. Newton’s First Law of Motion is also called the Law of Inertia. Example of Inertia In an automobile crash a person not wearing a seat belt will keep moving forward at the car’s speed even after the car has stopped. Newton’s 2nd Law of Motion “A net force acting on an object will accelerate in the direction of the force.” Newton’s 2nd Law of Motion In other words, force and motion are related: 1. The rate of acceleration is determined by the size of the force and the mass of the object. 2. An object will have greater acceleration if a greater force is applied to it. 3. An object with less mass will accelerate faster. Example of Newton’s 2nd Law A baseball and a bowling ball are both hit with the same bat and the same force. The baseball will have a greater acceleration because it has less mass. F=ma All of this is represented mathematically in the equation: F=ma Where: F = force (N) m = mass (kg) a = acceleration (m/s2) “Newton” (N) is a unit of force. It is equal to 1 kg ● m/s2 F=ma example Zookeepers lift a stretcher with a sedated lion. To total mass of the stretcher and lion is 175 kg, and the upward acceleration is 0.657 m/s2. What is the force needed to move the lion? F = ma = 175 kg x 0.657 m/s2 = 115 kg ● m/s2 = 115 N Newton’s 3rd Law of Motion “For every action there is an equal and opposite reaction.” Newton’s 3rd Law of Motion Example: When you throw a basketball with a force of 3 newtons, the basketball exerts and equal force back on you. You would see it if you were wearing roller skates! More information you need to know about forces! Friction: A force between two objects that are touching each other. The amount of friction depends on two things: 1. The kind of surface the objects have – how smooth or rough 2. The force that is pressing the objects together – the harder they are pressed together the more friction there will be. Air resistance Air resistance – an upward force that air exerts on an object that is falling through it. A force that works against gravity’s downward force. The amount of air resistance depends on the shape, size, and speed of the falling object. Bernoullis principle In a fluid: High velocity = low pressure Momentum Momentum – a property of a moving object because of its mass and velocity. It decides how much force is needed to change an object’s motion. Momentum cont. Equation: p=mv = momentum (kg ●m/s) m = mass (kg) v = velocity (m/s) p Example A 75 kg speed skater moving forward at 16 m/s. Calculate the momentum. p = mv P = 75 kg ● 16 m/s = 1200 kg●m/s A 135 kg ostrich running north at 16.2 m/s. Calculate the momentum. A 135 kg ostrich running north at 16.2 m/s. Calculate the momentum. P = mv = 135 kg ● 16.2 m/s = 2187 k●m/s A 0.8 kg kitten running to the left at 6.5 m/s. Calculate the momentum. A 0.8 kg kitten running to the left at 6.5 m/s. Calculate the momentum. P = mv = 0.8 kg ● 6.5 m/s = 5.2 kg●m/s Momentum cont. Simple terms: The more mass an object has and the faster it is moving, the harder it is to change its motion. An object at rest has no momentum! Example: A toy truck is easier to stop than a real truck because it has less mass, therefore less momentum. The Law of Conservation of Momentum Momentum can be transferred between objects: momentum is neither created nor destroyed in the transfer. Gravity Gravity: 1. Is the force that every object exerts on every other object. 2. The amount of gravitational force depends on 2 things: a. b. The mass of the object The distance between the objects. Gravity cont. 3. Weight is a measure of the force of gravity on an object. W = ma, where “a” is acceleration due to gravity (9.81 m/s2 on Earth) 4. All objects fall towards Earth the same acceleration regardless of their mass: 9.81 m/s2. This is why if there were no air resistance two falling objects would hit the ground at the exact same time. Free fall Free fall – the motion of a body when only the force of gravity is acting on it. Free fall acceleration results from gravity, it is abbreviated as g. Near the Earth’s surface, g = 9.8 m/s2 Free Fall and Weight The force on an object due to gravity is called its weight. On Earth, your weight is the amount of gravitational force exerted on you by Earth. Free fall and Weight If you know the free-fall acceleration, g, acting on a body then you can use F=ma to calculate the body weight. Weight equals mass times free=fall acceleration. Weight = mass x free-fall acceleration w = mg Example A small apple weighs about 1 N. A 1.0 kg book has a weight of 1.0 kg x 9.8 m/s2 = 9.8 N Terminal velocity Terminal velocity – the maximum velocity reached by a falling object that occurs when the resistance of the medium is equal to the force due to gravity. Khan academy clips