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Explaining motion P4 Big picture How forces arise Friction and normal reaction Adding forces Describing and summarizing motion Explaining the motion of objects Work Energy How forces arise Forces arise from an interaction between two objects Always come in pairs The two forces in an interaction pair are always equal and opposite and act on different objects Even objects resting on a surface experience this interaction E.g. A book resting on a table pushes down on the table with a force equal to its weight. The table exerts an equal and opposite force upwards – ‘reaction force’ Interaction pairs 1. 2. 3. 4. Indicate where forces are occurring in this diagram, using arrows If one of the forces is the persons feet, walking on the ground, what is the interaction force? For both forces state what object is exerting the force and what the force is acting on What can you say about the forces in an interaction pair, in terms of size and direction? How things start moving To make a vehicle/person start moving it needs to push against the ground When it pushes on the ground the ground pushes back and it will start to move What are the forward and backward forces that make a jet engine move? Interaction pair Friction Friction is an unusual force It adjusts its size in response to the situation – up to a limit This limit depends on the objects and the surfaces involved The force of friction arises due to lots of tiny welds that have to be broken as an object slides against another Friction examples Moving objects – between object and surface 1. between solid surfaces which are gripping e.g. Walking, driving 2. between surfaces that slide past each other e.g. Moving parts in a machine 3. drag from liquids or air e.g. Air resistance of a parachute Reaction of surfaces If an object is placed on a surface it squashes or distorts the surface The surface exerts a reaction force on the object Adding forces If there is a force acting on an object and it is not moving there must be another force balancing the first one If they balance we say the “resultant force” is zero What are the forces acting on this moving object? A number of forces acting on a body may be replaced by a single force The force is called the resultant force. If the resultant force acting on a stationary body is zero the body will remain stationary. If the resultant force acting on a stationary body is not zero the body will accelerate in the direction of the resultant force. If the resultant force acting on a moving body is zero the body will continue to move at the same speed and in the same direction. If the resultant force acting on a moving body is not zero the body will accelerate in the direction of the resultant force. Forward force from engine Air resistance 400N 1000N 400N Friction All the forces acting on an object can be replaced by a single “resultant fo E.G. Backward force on car = 400 + 400 = 800N Forward force on car = 1000N Overall force acting on car = 1000 – 800 = 200N The resultant force is 200N Air resistance Forward force 50N 100N Friction 10N What forces are acting on this woman as she moves? •What is the resultant force? •40N Key points Object at start At rest Moving Moving Moving Resultant force Effect on the object Zero Stays at rest Zero Velocity stays the same More than zero, Accelerates in the same direction as the moving object More than zero, Decelerates in the opposite direction to the moving object Newton’s three laws of motion Balanced forces mean no change in velocity (no resultant force, overall zero force) (objects are stationary or moving at a constant speed) 2. A resultant force means acceleration (object will accelerate in direction of resultant force) 3. Reaction forces (if object A exerts a force on object B then object B exerts the exact opposite force on object A) 1. Rocket example Speed Average speed = distance / time Instantaneous speed – when average speed is measured over very short time intervals Speed cameras detect speeding cars Motion graphs Distance – time graph: gradient/slope shows speed Speed – time graph: gradient shows acceleration Velocity – time graph: also shows direction of motion Force and change of momentum Momentum = mass x velocity Change of momentum caused by a force: Change of momentum = force x time (time is for how long the force acts) Conservation of momentum – in an interaction the total change in momentum is zero Car Safety In a collision the force on passengers can be great. Cars are designed to reduce these forces: Crumple zones – increase the collision time Seat belts – stretch to make the change of momentum longer Air bags – cushion impact to reduce your momentum slowly Factors involved Collision time – the size of force on the car depends on the time the collision lasts Momentum – the bigger the time, the smaller the force In summary, the longer it takes to reduce the passenger’s speed to zero, the smaller the force they experience. Laws of motion Law 1 – if the resultant force acting on an object is zero, the momentum of the object does not change Law 2 – if there is a resultant force acting on an object, the momentum will change (c.o.m.=r.f x time) and is in the same direction Motion Stationary objects have a resultant force that is zero Objects moving at a constant speed also have a resultant force that is zero Speeding up or slowing downoverall resultant force exists Work done When a force causes movement of an object, work is done Use the equation: work done by a force = force × distance moved by the force (joule, J) (newton, N) (metre, m) Change of energy The energy of a moving object is called kinetic energy As an object falls, its gravitational potential energy decreases Work and change of energy (cont) Understand that when work is done on an object, the energy of the object increases and When work is done by an object, the energy of the object decreases according to the relationship: change in energy = work done (joule, J) (joule, J) From potential to kinetic energy When an object is lifted to a higher position above the ground, work is done by the lifting force against the gravitational force acting on the object (its weight); this increases the object’s gravitational potential energy (GPE); use the equation: change in GPE = weight × vertical height difference (joule, J) (newton, N) (metre, m) Changes in kinetic energy When work is done to make an object move faster the kinetic energy increase. Change in energy = work done So, change in energy = force x distance However, some work is wasted due to the force of friction. Conservation of energy When an object falls it – • Loses gravitational potential energy • Gains kinetic energy • If friction is small enough to ignore then Amount of GPE lost = amount of KE gained We use this formula to calculate KE: Gain in KE = ½ mass x velocity squared